格Q_23(6)^{+2}
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)
最后修改时间:2014年7月18日星期五13:23:37
索引文件|缩写
此文件的内容
名称
尺寸
格拉姆
分流器
最小_形式
亲吻_编号
组订单(_O)
组_名称
发电机组
笔记
参考文献
最后一行
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名称
问题23(6)^{+2}
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尺寸
23
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格拉姆
23
9 -2 2 0 2 -2 3 -1 4 4 3 2 -4 -4 -3
1 4 -1 4 -3 2 2 3
-2 8 0 2 -4 2 0 -2 -4 2 0 2 2 4 0
2 2 0 2 2 -4 -4 0
2 0 8 -2 0 -4 0 0 -2 2 0 -2 0 0 2
-2 -2 0 0 2 0 4 2
0 2 -2 8 0 4 0 0 0 -2 2 4 2 4 2
4 2 2 -2 0 2 -4 0
2 -4 0 0 8 0 0 0 4 -2 0 2 -4 -2 -2
-2 2 2 0 -2 4 4 -2
-2 2 -4 4 0 8 -2 -2 0 0 2 2 0 2 2
2 2 0 0-2-2-4-2
3 0 0 0 0 -2 5 -1 2 0 -1 2 0 -2 -1
1 0 1 2 -1 2 0 1
-1 -2 0 0 0 -2 -1 5 0 -2 -1 -2 2 0 -1
1 0 1 -2 1 2 0 1
4 -4 -2 0 4 0 2 0 8 -2 0 2 -4 -4 -4
0 2 2 0 -2 4 2 0
4 2 2 -2 -2 0 0 -2 -2 8 2 0 -2 -2 0
0 2 -4 4 -2 -4 0 2
3 0 0 2 0 2 -1 -1 0 2 5 0 -2 0 1
1 2 -1 2 -1 0 0 1
2 2 -2 4 2 2 2 -2 2 0 0 8 -2 2 -2
2 4 2 2-2 0-2-2
-4 2 0 2 -4 0 0 2 -4 -2 -2 -2 8 4 4
2 -2 0 -2 2 0 -4 0
-4 4 0 4 -2 2 -2 0 -4 -2 0 2 4 8 2
2 0 2 -2 2 -2 -4 -2
-3 0 2 2 -2 2 -1 -1 -4 0 1 -2 4 2 9
-1 -4 -1 -2 1 0 0 -1
1 2 -2 4 -2 2 1 1 0 0 1 2 2 2 -1
5 2 1 0 -1 0 -4 1
4 2 -2 2 2 2 0 0 2 2 2 4 -2 0 -4
2 8 0 4 -2 0 -2 0
-1 0 0 2 2 0 1 1 2 -4 -1 2 0 2 -1
1 0 5 -2 1 2 0 -1
4 2 0-2 0 2-2 0 4 2-2-2-2-2
0 4 -2 8 -2 -2 0 0
-3 2 2 0 -2 -2 -1 1 -2 -2 -1 -2 2 2 1
-1 -2 1 -2 5 0 0 1
2 -4 0 2 4 -2 2 2 4 -4 0 0 0 -2 0
0 0 2 -2 0 8 2 0
2 -4 4 -4 4 -4 0 0 2 0 0 -2 -4 -4 0
-4 -2 0 0 0 2 8 0
3 0 2 0 -2 -2 1 1 0 2 1 -2 0 -2 -1
1 0 -1 0 1 0 0 5
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分流器
1 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 6
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最小_形式
5
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亲吻_编号
552
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组订单(_O)
991533312000
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组_名称
C2 x二氧化碳
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发电机组
2
23
2 1 0-2 1 0-2 0 0-1 0 1 0 0 1
1 -1 0 0 1 0 -1 0
1 1 -1 -3 0 1 -1 0 -1 0 1 2 1 0 0
0 -1 0 -1 0 2 0 1
0 -1 0 1 0 0 0 -1 -1 1 1 0 1 -1 -1
0 0 1 0 1 0 0 -1
1 0 0 -3 0 2 -1 0 -1 0 1 3 2 -1 -1
0 -1 0 -1 1 1 0 1
-1 -1 1 2 -1 -1 0 -1 0 -1 -1 -1 -1 0 0
0 1 0 1 -1 -1 0 0
0 0 0 -2 -1 2 0 0 0 0 1 2 2 0 -1
-1 0 0 -1 0 1 1 1
1 1 0-1 1-1-2 0-1 0 1 0-1 0-1 1
1 -1 0 0 0 0 -1 0
0 0 0 1 0 0 0 0 0 0 -1 -1 -1 0 0
0 0 0 1 0 0 0 0
-1 0 1 2 0 -2 -1 -1 1 -1 -2 -2 -2 0 1
1 1 0 1 -1 -1 -1 0
2 1 -1 -2 0 1 -1 1 0 0 0 1 0 1 1
0 -1 0 0 1 1 0 0
1 0 0 -2 0 1 0 0 0 0 1 1 1 0 0
0 0 0 -1 1 0 0 0
3 1 -1 -2 0 1 -3 0 -1 -1 -1 2 1 0 0
0 -2 0 0 0 1 0 1
0 0 0 -1 0 2 1 1 -1 1 2 2 2 -1 -2
-1-1 0-1 1 1 1 0
3 1 -1 -3 0 3 0 1 -2 0 2 3 3 -1 -2
-1 -2 0 -2 1 1 1 0
-2 -2 1 1 -1 1 2 0 0 2 2 1 2 -1 -2
-1 1 0 -1 1 0 1 -1
3 2 -1 -4 1 2 -2 1 -1 -1 1 3 2 -1 0
0 -2 0 -1 1 1 0 1
1 1 0 -2 0 1 -1 0 0 -1 0 1 0 1 0
0 -1 -1 0 0 1 0 1
1 0 0 0 0 0 -1 -1 -1 -1 -1 0 0 -1 0
1 0 0 0 0 0 0 0
2 1 -1 -2 0 0 -2 0 0 -1 0 1 0 1 1
0 -1 0 0 0 1 0 1
-2-1 0 1 0-1 1-1 0 1 0-1 0 0
1 1 0 0 0 0 0 0
-3 -1 2 2 0 -2 0 -1 1 0 0 -1 -1 -1 0
1 1 0 1 -1 -1 -1 0
-2 -1 1 4 0 -3 1 -1 1 0 -1 -3 -2 0 1
0 2 0 1 -1 -2 -1 -1
0 0 0 -1 1 0 0 0 0 0 0 0 -1 0 1
1 0 0 0 1 0 -1 0
23
0 0 -1 -1 0 1 -1 0 0 1 1 1 2 0 -1
0 -1 1 0 0 1 1 1
1 1 0 -1 0 0 -1 0 0 0 1 1 1 -1 0
0 0 0 -1 0 0 0 -1
-3-1 1 1 0-1 2 0 1 2 0 1-1-1
0 1 -1 -1 0 -1 0 -1
0 2 0 0 1 -1 -1 1 1 0 0 0 -1 0 1
0 -1 0 0 -1 0 -1 0
1 1 -1 -1 1 0 0 1 0 0 0 0 0 1 1
0 -1 0 0 0 0 0 1
1 2 0 -2 1 0 -2 0 0 -1 0 1 0 0 1
0 -1 0 0 -1 1 -1 1
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0
1 0 0 0 0 0 0 0
1 0 0 -1 0 1 0 1 0 0 0 1 0 0 0
0 -1 0 0 1 0 0 0
1 0 -1 -1 0 1 -1 0 -1 0 -1 0 0 1 0
1 -1 1 1 0 1 1 1
0 0 0-1 0 1 0 0 2 1 2-1-1
-1 0 0 -1 0 0 0 0
1 1 -1 -1 0 0 -2 0 0 0 0 1 1 0 0
-1 -1 1 0 -1 1 0 1
0 0 0 1 0 0 0 0 0 1 0 -1 0 0 0
0 0 1 0 0 0 0 -1
-2 0 1 0 0 -1 1 0 1 0 0 0 -2 0 1
1 1 -1 0 0 0 -1 0
-2 0 1 2 -1 -1 1 0 1 1 0 -1 -1 0 0
-1 1 0 0 -1 0 0 -1
-2 1 1 0 1 -2 1 0 1 -1 1 0 -1 -1 1
0 1 -1 -1 -1 -1 -2 0
1 1 0 -1 0 1 -1 1 0 0 0 1 0 0 0
0-1 0 0 0 1 0 0
3 1 -2 -3 0 2 -3 0 -1 1 0 2 2 0 0
0 -2 2 0 1 2 1 1
1 1 0 0 0 0 0 1 0 0 0 0 0 0 0
0 -1 0 0 0 0 0 -1
1 0 -1 -2 0 0 -2 -1 0 0 0 1 1 0 1
1 0 1 0 0 1 0 1
0 0 0 1 0 -1 0 0 0 0 0 0 0 -1 0
0 0 0 0 0 -1 0 -1
1 1 -1 -1 1 0 0 1 0 0 -1 0 -1 1 1
1 -1 0 0 0 0 0 1
-1 -1 0 1 0 -1 1 0 0 0 0 -1 0 0 0
0 1 0 0 0-1 0 0
0 0 0 0 0 0 -1 0 0 0 1 1 1 -1 -1
0 -1 0 0 0 0 0 0
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笔记
Plesken称为F_3(vii),LDL II中的Q_23(6)^{+2}(见参考文献)
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参考文献
Plesken,J.代数,第97卷(1985),第286-312页
Conway-Sloane,“低维格II:GL(n,Z)的子群”,
程序。伦敦皇家学会,A 419(1988),29-68。
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最后一行
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