Name(s): [2S_4^2]2=2S_4wr2
Order: 4608 = 29 · 32
Parity: -1
|Aut(K)|=|CS12(G)|= 2
Other representations: 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 12T260, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648, 16T1648
Resolvents
2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
8: 4T3, 4T3, 4T3, 4T3, 4T3, 4T3, 8T3
16: 8T9, 8T9, 8T9
32: 8T18
72: 6T13
144: 12T77
288: 12T125
1152: 8T47
2304: 12T235