Direct product G=NxQ with N=C72 and Q=C6
Semidirect products G=N:Q with N=C72 and Q=C6
extension | φ:Q→Aut N | d | ρ | Label | ID |
C72:1C6 = D72:C3 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6+ | C72:1C6 | 432,123 |
C72:2C6 = C72:2C6 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:2C6 | 432,122 |
C72:3C6 = C8xC9:C6 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:3C6 | 432,120 |
C72:4C6 = C72:C6 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:4C6 | 432,121 |
C72:5C6 = D8x3- 1+2 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:5C6 | 432,217 |
C72:6C6 = SD16x3- 1+2 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:6C6 | 432,220 |
C72:7C6 = M4(2)x3- 1+2 | φ: C6/C1 → C6 ⊆ Aut C72 | 72 | 6 | C72:7C6 | 432,214 |
C72:8C6 = C2xC8x3- 1+2 | φ: C6/C2 → C3 ⊆ Aut C72 | 144 | | C72:8C6 | 432,211 |
C72:9C6 = C3xD72 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72:9C6 | 432,108 |
C72:10C6 = C3xC72:C2 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72:10C6 | 432,107 |
C72:11C6 = D9xC24 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72:11C6 | 432,105 |
C72:12C6 = C3xC8:D9 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72:12C6 | 432,106 |
C72:13C6 = D8xC3xC9 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | | C72:13C6 | 432,215 |
C72:14C6 = SD16xC3xC9 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | | C72:14C6 | 432,218 |
C72:15C6 = M4(2)xC3xC9 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | | C72:15C6 | 432,212 |
Non-split extensions G=N.Q with N=C72 and Q=C6
extension | φ:Q→Aut N | d | ρ | Label | ID |
C72.1C6 = C72.C6 | φ: C6/C1 → C6 ⊆ Aut C72 | 144 | 6- | C72.1C6 | 432,119 |
C72.2C6 = C9:C48 | φ: C6/C1 → C6 ⊆ Aut C72 | 144 | 6 | C72.2C6 | 432,31 |
C72.3C6 = Q16x3- 1+2 | φ: C6/C1 → C6 ⊆ Aut C72 | 144 | 6 | C72.3C6 | 432,223 |
C72.4C6 = C16x3- 1+2 | φ: C6/C2 → C3 ⊆ Aut C72 | 144 | 3 | C72.4C6 | 432,36 |
C72.5C6 = C3xDic36 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72.5C6 | 432,104 |
C72.6C6 = C3xC9:C16 | φ: C6/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72.6C6 | 432,28 |
C72.7C6 = D8xC27 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.7C6 | 432,25 |
C72.8C6 = Q16xC27 | φ: C6/C3 → C2 ⊆ Aut C72 | 432 | 2 | C72.8C6 | 432,27 |
C72.9C6 = Q16xC3xC9 | φ: C6/C3 → C2 ⊆ Aut C72 | 432 | | C72.9C6 | 432,221 |
C72.10C6 = SD16xC27 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.10C6 | 432,26 |
C72.11C6 = M4(2)xC27 | φ: C6/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.11C6 | 432,24 |
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