Extensions 1→N→G→Q→1 with N=Dic3 and Q=C2×C18

Direct product G=N×Q with N=Dic3 and Q=C2×C18

Semidirect products G=N:Q with N=Dic3 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
Dic31(C2×C18) = S3×D4×C9φ: C2×C18/C18C2 ⊆ Out Dic3724Dic3:1(C2xC18)432,358
Dic32(C2×C18) = C18×C3⋊D4φ: C2×C18/C18C2 ⊆ Out Dic372Dic3:2(C2xC18)432,375
Dic33(C2×C18) = S3×C2×C36φ: trivial image144Dic3:3(C2xC18)432,345

Non-split extensions G=N.Q with N=Dic3 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
Dic3.1(C2×C18) = C18×Dic6φ: C2×C18/C18C2 ⊆ Out Dic3144Dic3.1(C2xC18)432,341
Dic3.2(C2×C18) = C9×C4○D12φ: C2×C18/C18C2 ⊆ Out Dic3722Dic3.2(C2xC18)432,347
Dic3.3(C2×C18) = C9×D42S3φ: C2×C18/C18C2 ⊆ Out Dic3724Dic3.3(C2xC18)432,359
Dic3.4(C2×C18) = S3×Q8×C9φ: C2×C18/C18C2 ⊆ Out Dic31444Dic3.4(C2xC18)432,366
Dic3.5(C2×C18) = C9×Q83S3φ: trivial image1444Dic3.5(C2xC18)432,367