Extensions 1→N→G→Q→1 with N=Dic3 and Q=C62

Direct product G=N×Q with N=Dic3 and Q=C62

Semidirect products G=N:Q with N=Dic3 and Q=C62
extensionφ:Q→Out NdρLabelID
Dic31C62 = S3×D4×C32φ: C62/C3×C6C2 ⊆ Out Dic372Dic3:1C6^2432,704
Dic32C62 = C3×C6×C3⋊D4φ: C62/C3×C6C2 ⊆ Out Dic372Dic3:2C6^2432,709
Dic33C62 = S3×C6×C12φ: trivial image144Dic3:3C6^2432,701

Non-split extensions G=N.Q with N=Dic3 and Q=C62
extensionφ:Q→Out NdρLabelID
Dic3.1C62 = C3×C6×Dic6φ: C62/C3×C6C2 ⊆ Out Dic3144Dic3.1C6^2432,700
Dic3.2C62 = C32×C4○D12φ: C62/C3×C6C2 ⊆ Out Dic372Dic3.2C6^2432,703
Dic3.3C62 = C32×D42S3φ: C62/C3×C6C2 ⊆ Out Dic372Dic3.3C6^2432,705
Dic3.4C62 = S3×Q8×C32φ: C62/C3×C6C2 ⊆ Out Dic3144Dic3.4C6^2432,706
Dic3.5C62 = C32×Q83S3φ: trivial image144Dic3.5C6^2432,707