Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×C6

Direct product G=N×Q with N=Dic3 and Q=C2×C6

Semidirect products G=N:Q with N=Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic31(C2×C6) = C3×S3×D4φ: C2×C6/C6C2 ⊆ Out Dic3244Dic3:1(C2xC6)144,162
Dic32(C2×C6) = C6×C3⋊D4φ: C2×C6/C6C2 ⊆ Out Dic324Dic3:2(C2xC6)144,167
Dic33(C2×C6) = S3×C2×C12φ: trivial image48Dic3:3(C2xC6)144,159

Non-split extensions G=N.Q with N=Dic3 and Q=C2×C6
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×C6) = C6×Dic6φ: C2×C6/C6C2 ⊆ Out Dic348Dic3.1(C2xC6)144,158
Dic3.2(C2×C6) = C3×C4○D12φ: C2×C6/C6C2 ⊆ Out Dic3242Dic3.2(C2xC6)144,161
Dic3.3(C2×C6) = C3×D42S3φ: C2×C6/C6C2 ⊆ Out Dic3244Dic3.3(C2xC6)144,163
Dic3.4(C2×C6) = C3×S3×Q8φ: C2×C6/C6C2 ⊆ Out Dic3484Dic3.4(C2xC6)144,164
Dic3.5(C2×C6) = C3×Q83S3φ: trivial image484Dic3.5(C2xC6)144,165