Name(s): [D(4)^4]S(3)=D(4)wrS(3)
Order: 3072 = 210 · 3
Parity: -1
|Aut(K)|=|CS12(G)|= 2
Other representations: 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250, 12T250
Resolvents
2: 2T1, 2T1, 2T1, 2T1, 2T1, 2T1, 2T1
4: 4T2, 4T2, 4T2, 4T2, 4T2, 4T2, 4T2
6: 3T2
8: 8T3
12: 6T3, 6T3, 6T3
24: 4T5, 4T5, 4T5, 12T10
48: 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11, 6T11
96: 8T34, 12T48, 12T48, 12T48
192: 12T100, 12T100, 12T100
384: 12T139
768: 16T1055
1536: 24T3386