Extensions 1→N→G→Q→1 with N=Dic6 and Q=C3×C6

Direct product G=N×Q with N=Dic6 and Q=C3×C6

Semidirect products G=N:Q with N=Dic6 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Dic61(C3×C6) = C32×C24⋊C2φ: C3×C6/C32C2 ⊆ Out Dic6144Dic6:1(C3xC6)432,466
Dic62(C3×C6) = C32×D4.S3φ: C3×C6/C32C2 ⊆ Out Dic672Dic6:2(C3xC6)432,476
Dic63(C3×C6) = C32×D42S3φ: C3×C6/C32C2 ⊆ Out Dic672Dic6:3(C3xC6)432,705
Dic64(C3×C6) = S3×Q8×C32φ: C3×C6/C32C2 ⊆ Out Dic6144Dic6:4(C3xC6)432,706
Dic65(C3×C6) = C32×C4○D12φ: trivial image72Dic6:5(C3xC6)432,703

Non-split extensions G=N.Q with N=Dic6 and Q=C3×C6
extensionφ:Q→Out NdρLabelID
Dic6.1(C3×C6) = C32×Dic12φ: C3×C6/C32C2 ⊆ Out Dic6144Dic6.1(C3xC6)432,468
Dic6.2(C3×C6) = C32×C3⋊Q16φ: C3×C6/C32C2 ⊆ Out Dic6144Dic6.2(C3xC6)432,478