Extensions 1→N→G→Q→1 with N=Dic3 and Q=Dic6

Direct product G=N×Q with N=Dic3 and Q=Dic6

Semidirect products G=N:Q with N=Dic3 and Q=Dic6
extensionφ:Q→Out NdρLabelID
Dic31Dic6 = C62.9C23φ: Dic6/Dic3C2 ⊆ Out Dic396Dic3:1Dic6288,487
Dic32Dic6 = C62.10C23φ: Dic6/Dic3C2 ⊆ Out Dic396Dic3:2Dic6288,488
Dic33Dic6 = Dic3⋊Dic6φ: Dic6/C12C2 ⊆ Out Dic396Dic3:3Dic6288,514
Dic34Dic6 = C123Dic6φ: Dic6/C12C2 ⊆ Out Dic396Dic3:4Dic6288,566
Dic35Dic6 = Dic35Dic6φ: trivial image96Dic3:5Dic6288,485
Dic36Dic6 = Dic36Dic6φ: trivial image96Dic3:6Dic6288,492

Non-split extensions G=N.Q with N=Dic3 and Q=Dic6
extensionφ:Q→Out NdρLabelID
Dic3.1Dic6 = Dic3.Dic6φ: Dic6/Dic3C2 ⊆ Out Dic396Dic3.1Dic6288,493
Dic3.2Dic6 = C62.16C23φ: Dic6/Dic3C2 ⊆ Out Dic396Dic3.2Dic6288,494
Dic3.3Dic6 = C62.37C23φ: Dic6/C12C2 ⊆ Out Dic396Dic3.3Dic6288,515