Extensions 1→N→G→Q→1 with N=D6 and Q=C2×C18

Direct product G=N×Q with N=D6 and Q=C2×C18

Semidirect products G=N:Q with N=D6 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
D61(C2×C18) = C18×D12φ: C2×C18/C18C2 ⊆ Out D6144D6:1(C2xC18)432,346
D62(C2×C18) = S3×D4×C9φ: C2×C18/C18C2 ⊆ Out D6724D6:2(C2xC18)432,358
D63(C2×C18) = C18×C3⋊D4φ: C2×C18/C18C2 ⊆ Out D672D6:3(C2xC18)432,375

Non-split extensions G=N.Q with N=D6 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
D6.1(C2×C18) = C9×C4○D12φ: C2×C18/C18C2 ⊆ Out D6722D6.1(C2xC18)432,347
D6.2(C2×C18) = C9×D42S3φ: C2×C18/C18C2 ⊆ Out D6724D6.2(C2xC18)432,359
D6.3(C2×C18) = C9×Q83S3φ: C2×C18/C18C2 ⊆ Out D61444D6.3(C2xC18)432,367
D6.4(C2×C18) = S3×C2×C36φ: trivial image144D6.4(C2xC18)432,345
D6.5(C2×C18) = S3×Q8×C9φ: trivial image1444D6.5(C2xC18)432,366