晶格Sp4(4)xC_3
格目录中的条目,这是一个联合项目
Gabriele Nebe,亚琛RWTH大学(nebe@math.rwth-aachen.de)和
尼尔·J·A·斯隆(njasloane@gmail.com)
上次修改时间:2014年7月18日星期五13:26:50 CEST
索引文件|缩写
此文件的内容
名称
尺寸
最小_形式
亲吻_编号
决定性因素
分流器
属性
注释
格拉姆
发电机组
最后一行
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名称
Sp4(4)xC_3
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尺寸
36
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最小_形式
6
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亲吻_编号
720
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决定性因素
387420489
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分流器
1^18 3^18
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属性
积分=1
模块化=3
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注释
G.Nebe于1998年2月发现。
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格拉姆
36 0
8
3 8
-3 2 8
-3 0 -1 8
3 4 0 2 8
3 4 1 -3 1 8
2 -1 -4 -2 -2 -1 8
-1 2 -1 2 0 -2 -1 8
-1 -3 1 1 1 -1 0 -3 8
-4 -4 -2 1 -5 -2 2 -1 1 10
3 4 1 -1 3 2 -2 0 -3 -5 8
-3 -2 3 0 0 1 -2 -2 4 0 0 8
3 -2 -1 -1 -1 -2 0 1 1 -3 2 1 10
0 -1 2 0 -2 2 -1 -2 1 -2 1 2 1 8
0 3 2 -1 2 4 -3 -1 -2 -1 1 -1 -3 -2 8
-2 2 3 2 3-2-1 0 2 0 2-2-1 0 8
-4 -1 1 2 0 -2 0 1 -1 -1 1 2 0 -1 0 1 8
3 -2 -1 -5 -1 -1 4 -1 0 0 -1 0 3 -2 -1 -2 -2 10
-3 -2 2 -1 -2 1 1 -1 1 2 -2 4 -2 1 0 0 3 1 8
3 -1 -3 1 3 1 1 -2 4 0 -2 1 1 -1 0 0 -3 2 0 8
-4 -4 3 -1 -4 -4 1 -2 0 2 -2 1 1 0 0 0 2 3 2 -3 10
2 0 0 -4 -3 2 0 -1 -2 -1 1 -2 2 0 2 -4 -1 1 -2 -2 2 8
3 0 -4 0 3 2 2 -2 2 0 -1 -1 -1 -1 0 0 -1 -1 -1 4 -5 -1 8
-4 1 1 1 -1 -1 1 3 -1 0 -1 1 -2 -1 0 1 4 -2 1 -3 1 0 -1 8
-4 1 3 3 1 -1 -4 2 1 1 -2 2 -2 -1 1 4 0 -3 -1 0 0 -2 -1 2 8
2 3 -2 -1 1 4 -1 1 -4 -2 2 -3 -1 0 4 -3 0 -3 -2 -1 -4 3 3 2 0 10
3 4 2-1 2 1-2 1-3-2 2-2 0-1 2 1-3 2-2-1-1 2-2 1 1 8
0 -2 -3 2 0 -4 0 2 1 0 1 0 4 -1 -4 0 0 -1 -3 1 -1 -1 0 0 1 0 -2 8
-4 0 0 4 -1 -3 1 1 1 2 0 1 0 -2 -2 1 3 -3 -1 -1 2 -1 -1 4 2 -1 -3 3 10
2 3 2 -1 0 0 0 1 -1 0 0 -3 0 0 -1 1 -4 1 -2 0 0 0 -2 -2 1 -1 3 0 0 8
-3 -1 -1 2 1 -1 -2 2 1 2 -2 2 -3 -2 1 2 1 -3 1 1 -1 -1 1 3 3 1 -2 1 1 -2 8
1 -2 1 -2 0 -1 -2 -2 0 -2 0 0 1 2 0 1 -2 1 -2 0 2 2 -1 -2 1 -1 2 0 -4 0 0 8
-4 0 4 2 -1 0 -4 -1 2 2 0 2 -3 2 1 3 0 -4 0 -2 1 0 -2 0 4 -2 0 -1 1 0 1 1 8
1 2 3 -2 2 0 0 0 2 -4 3 2 3 0 0 2 1 2 -1 -1 1 0 -2 1 0 -2 0 1 0 0 -2 0 0 8
1 2 0 2 1 -1 2 2 0 -3 2 0 3 2 -3 1 1 -1 -1 -1 0 -1 0 1 -1 -1 -1 1 3 1 -2 -2 -1 2 8
-1 -3 0 -3 -4 -2 0 0 0 2 -2 -1 2 -1 -1 -2 -1 1 -1 -2 3 4 -2 0 0 0 -1 2 0 1 0 2 0 0 -2 8
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发电机组
2
36 36
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-6 5 -7 -4 -1 -1 -5 -4 3 -1 0 -4 1 2 -1 1 0 1 1 0 0 1 -1 1 2 -2 1 0 -1 -1 0 -2 -2 -1 1 -1
0 1 1 2 -3 -2 1 1 -1 -1 0 3 -1 -1 1 -1 0 0 -1 1 0 -1 2 -1 -2 1 0 -1 0 1 0 1 1 1 0 1
-2 -3 0 -2 4 5 -1 -2 0 0 0 -7 2 1 -3 3 -1 1 1 0 -1 1 -4 1 2 -1 0 0 1 -3 1 -2 -1 -1 0 0
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-3 2-4 0-2 0-2 2-1 1-1 0 0 0 0 1 1 1-1 0 1 1 1 1 0-1 1 0 0-1 1 0-1 0 1 0
3 -3 2 1 1 2 1 1 0 1 1 0 0 0 1 0 0 0 0 -1 0 0 0 1 1 -1 0 1 0 0 0 0 0 -1 0 0
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0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
2 4 0 0 0 -4 1 2 0 1 -1 4 -1 2 3 -2 1 0 0 -1 0 1 2 -1 0 -1 -1 1 0 1 -1 1 0 0 -1 0
-3 4 -4 -4 -2 -3 -3 -2 1 -1 -1 0 0 0 -1 -1 1 -1 -1 2 1 -1 0 0 0 0 1 -1 -1 0 0 -1 0 0 1 -1
3 -4 4 3 -1 1 3 2 -2 0 1 2 -1 -2 0 -1 0 -1 -1 1 0 -1 1 0 -1 1 0 -1 0 1 0 1 1 1 0 1
3 -1 2 0 -2 -3 1 2 -2 0 0 5 -2 -2 0 -1 0 -3 -2 3 2 -1 1 0 -2 2 0 -1 -1 1 -1 0 1 1 0 0
0 -3 1 2 -1 4 0 -1 0 -1 1 -2 0 -2 -1 1 0 1 0 0 0 -1 0 1 0 0 1 0 0 0 1 0 0 0 1 1
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-1 4 -3 -2 -1 -1 -3 -1 2 0 0 -2 0 2 0 0 1 1 0 0 1 0 0 0 1 -1 0 0 0 -1 0 -1 -1 -1 0 0
4-5 5 3 0 1 3-2 0 1 2-1-2-1 0-1-1 0-1 0-1 2-1 2-2 1 0 1 1 1 1 1 1
3 -3 4 1 1 0 4 2 -2 1 0 3 0 -1 2 -2 0 -2 -1 0 0 -1 1 0 -1 0 0 1 0 1 0 1 2 0 0 0
5 -8 7 6 1 3 6 3 -2 0 2 2 0 -3 1 0 -2 0 0 -2 -2 0 0 0 0 1 -2 -1 1 1 0 2 1 0 -1 1
-3 -1 -3 -3 4 4 -2 -4 1 0 0 -7 3 1 -2 2 -1 1 2 -2 -1 1 -4 2 3 -2 0 1 0 -2 1 -2 -1 -2 1 -1
7 -6 9 5 0 1 6 5 -4 1 0 5 -1 -2 2 -1 0 -1 -2 1 0 -2 2 -1 -3 2 -1 0 1 1 0 2 3 1 -1 2
1 5 -1 0 -4 -6 -1 1 0 0 -1 6 -2 0 2 -2 1 -1 -1 1 1 -1 3 -1 -2 1 0 0 -1 2 -1 1 0 1 0 0
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-6 3 -7 -2 -1 1 -5 -4 3 -2 0 -4 1 0 -2 2 -1 1 2 -1 0 1 -1 1 1 -1 1 0 -1 0 0 -1 -2 0 1 -1
1 -1 2 1 -1 0 1 1 0 0 0 1 -1 0 1 0 0 0 -1 0 0 0 1 0 -1 0 0 1 0 0 0 0 0 0 0 0
-1 1-1-3 3-1-1-1 1-2-1 1 1-1 0 0-1 0 1-2 0 0 0 0 0 0-1 0-1 0 0 0-1
0 0 1 -1 0 -1 0 0 -1 0 0 0 0 0 -1 0 0 -1 -1 2 0 0 -1 0 0 0 0 -1 -1 -1 0 -1 0 0 0 0
-5 10 -7 -5 -1 -5 -5 -4 2 0 -2 -1 1 3 1 -1 1 1 1 0 0 1 0 0 1 -2 0 1 -1 -1 0 -1 -1 -1 1 -1
-3 5 -5 -3 1 -2 -4 -3 2 0 -1 -3 1 2 -1 1 0 1 2 -1 -1 2 -2 0 2 -1 -1 0 0 -1 -1 -1 -2 -1 0 -1
3 -5 4 3 1 4 2 1 -1 0 0 -1 0 -1 0 1 0 1 0 -1 0 -1 0 0 -1 1 0 1 1 0 1 0 1 0 0 1
-3 6 -3 -2 -1 -3 -2 -1 1 0 -1 0 0 2 1 -1 1 1 0 0 0 0 1 -1 0 -1 0 0 0 0 0 0 -1 0 0 0
-2 4 -2 -2 -2 -4 -1 1 -1 0 -1 4 -1 0 0 -2 1 -2 -2 3 2 -1 2 -1 -2 1 1 -1 -1 1 -1 0 1 1 0 0
-1 0 -1 -1 -2 0 -1 -1 0 -1 1 0 0 -1 -1 0 0 -1 -1 2 1 -1 0 1 0 0 1 -1 -1 0 0 -1 0 0 0 0
3 3 2 2 -2 -5 1 3 -2 1 -2 7 -2 0 2 -2 1 -1 -1 1 1 0 3 -2 -3 2 -1 0 0 2 -1 2 1 2 -1 0
36 36
2 -1 3 1 0 -2 4 2 -3 0 -1 5 0 -1 1 -2 0 -2 -2 1 0 -1 1 -1 -2 1 0 -1 0 1 0 1 2 1 -1 0
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1 -4 1 2 0 4 -1 -1 2 0 2 -4 0 -1 -1 3 -1 2 1 -2 -1 1 -2 1 2 0 -1 0 0 -1 0 -1 -2 -1 1 0
-1 0 0 0 0 -2 1 1 0 0 1 2 -1 0 1 -1 0 -1 0 1 0 1 1 0 0 0 0 0 -1 1 -1 0 0 0 0 0
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-5 5 -6 -5 2 0 -5 -4 1 0 -2 -4 2 2 -2 2 0 1 1 0 0 1 -3 0 1 -1 0 0 0 -2 0 -2 -1 -1 1 -1
1 4 2 0-4 2 3-2 1-2 5 0 1 1-3 1-1-1 1 1-1 3-2-3 1 0 1 1 0 2 1-2 0
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2 -6 4 4 1 2 4 2 -1 0 2 1 0 -1 1 1 -1 0 0 -1 -1 1 1 0 0 0 0 0 0 1 0 0 0 0 -1 1
2 -1 2 1 2 1 1 2 -1 1 -1 0 0 2 2 0 0 1 1 -1 0 0 2 0 -1 -1 0 2 2 0 0 1 1 0 -1 1
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3 -3 2 3 -5 -1 2 1 0 -2 2 4 -2 -4 0 -1 0 -1 -2 1 0 -2 1 0 -1 2 0 -2 -1 2 0 1 1 1 0 0
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2 3 1 2-4-2 1 3 0 0 5-2 0 1-2 2 0-2 1 2-2 4-1-3 1 1 0 2 0 2 1 1-1 1
-2 4 -2 -1 0 0 -3 -1 1 1 -1 -2 0 2 -1 1 1 2 1 0 0 1 0 -1 0 0 0 1 1 -1 0 0 -1 0 0 0
1 -4 3 2 1 1 4 2 -2 0 1 2 0 0 1 0 0 -1 -1 1 0 0 1 0 -1 0 1 0 0 1 0 0 1 0 -1 1
4 -6 5 4 -1 5 2 2 1 0 2 -2 -1 -2 -1 1 0 1 0 -1 0 -1 0 0 0 1 0 0 1 0 1 1 0 0 0 1
3 -5 2 2 0 3 1 0 -1 -1 0 -1 0 -2 -1 1 -1 0 0 -1 0 -1 -1 0 0 1 0 -1 1 0 1 0 1 1 0 0
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2 1 0 1 -1 -2 1 1 0 0 0 3 -1 0 2 -1 0 0 0 -1 0 0 1 0 0 0 -1 0 0 1 -1 1 0 0 0 0
3 -5 6 5 -2 0 6 3 -2 -1 2 5 -1 -4 1 -2 -1 -2 -2 1 0 -2 2 0 -2 2 0 -1 -1 2 0 2 2 1 -1 1
1-1 2 1-2-1 1 1 0-1 1 2-1-2 0-1 0-1 1 1 1 1 1 0-1 1 0 0 1 0 0
4 -10 7 4 3 4 6 2 -3 0 1 0 1 -2 1 1 -3 -1 0 -2 -2 0 -1 1 0 0 -1 0 1 0 0 0 1 0 -1 0
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1 -8 2 1 4 7 1 -2 0 0 1 -7 2 -1 -2 3 -2 1 2 -2 -2 1 -4 2 3 -1 0 0 1 -2 1 -1 -1 -1 1 0
-3 -1 -2 0 2 3 -2 -2 2 0 1 -5 1 1 0 2 -1 2 2 -2 -1 2 -1 1 2 -2 0 1 0 -1 0 -1 -2 -1 1 0
0 5 1 2 -5 -5 1 3 1 0 1 7 -2 -2 0 -2 1 -1 -3 2 2 -1 3 -2 -3 3 -1 -2 -2 2 -1 2 0 1 -1 0
-2 4 -2 -2 -3 -6 -1 0 0 -1 0 4 -1 -1 0 -2 0 -2 -1 2 0 0 1 -1 -1 1 0 -2 -1 1 -1 0 0 1 0 -1
7 -9 6 5 -1 5 3 2 -1 0 2 -1 -1 -3 0 1 -1 0 0 -1 0 -2 0 1 0 1 0 0 1 0 1 1 1 1 0 1
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