Direct product G=NxQ with N=C72 and Q=S3
Semidirect products G=N:Q with N=C72 and Q=S3
Non-split extensions G=N.Q with N=C72 and Q=S3
extension | φ:Q→Aut N | d | ρ | Label | ID |
C72.1S3 = Dic108 | φ: S3/C3 → C2 ⊆ Aut C72 | 432 | 2- | C72.1S3 | 432,4 |
C72.2S3 = D216 | φ: S3/C3 → C2 ⊆ Aut C72 | 216 | 2+ | C72.2S3 | 432,8 |
C72.3S3 = C24.D9 | φ: S3/C3 → C2 ⊆ Aut C72 | 432 | | C72.3S3 | 432,168 |
C72.4S3 = C216:C2 | φ: S3/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.4S3 | 432,7 |
C72.5S3 = C27:C16 | φ: S3/C3 → C2 ⊆ Aut C72 | 432 | 2 | C72.5S3 | 432,1 |
C72.6S3 = C8xD27 | φ: S3/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.6S3 | 432,5 |
C72.7S3 = C8:D27 | φ: S3/C3 → C2 ⊆ Aut C72 | 216 | 2 | C72.7S3 | 432,6 |
C72.8S3 = C72.S3 | φ: S3/C3 → C2 ⊆ Aut C72 | 432 | | C72.8S3 | 432,32 |
C72.9S3 = C9xDic12 | φ: S3/C3 → C2 ⊆ Aut C72 | 144 | 2 | C72.9S3 | 432,113 |
C72.10S3 = C9xC3:C16 | central extension (φ=1) | 144 | 2 | C72.10S3 | 432,29 |
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