Extensions 1→N→G→Q→1 with N=Q8 and Q=C2×C18

Direct product G=N×Q with N=Q8 and Q=C2×C18
dρLabelID
Q8×C2×C18288Q8xC2xC18288,369

Semidirect products G=N:Q with N=Q8 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
Q8⋊(C2×C18) = C22×Q8⋊C9φ: C2×C18/C2×C6C3 ⊆ Out Q8288Q8:(C2xC18)288,345
Q82(C2×C18) = SD16×C18φ: C2×C18/C18C2 ⊆ Out Q8144Q8:2(C2xC18)288,183
Q83(C2×C18) = C9×C8⋊C22φ: C2×C18/C18C2 ⊆ Out Q8724Q8:3(C2xC18)288,186
Q84(C2×C18) = C4○D4×C18φ: trivial image144Q8:4(C2xC18)288,370
Q85(C2×C18) = C9×2+ 1+4φ: trivial image724Q8:5(C2xC18)288,371

Non-split extensions G=N.Q with N=Q8 and Q=C2×C18
extensionφ:Q→Out NdρLabelID
Q8.1(C2×C18) = C2×Q8.C18φ: C2×C18/C2×C6C3 ⊆ Out Q8144Q8.1(C2xC18)288,347
Q8.2(C2×C18) = 2+ 1+4⋊C9φ: C2×C18/C2×C6C3 ⊆ Out Q8724Q8.2(C2xC18)288,348
Q8.3(C2×C18) = 2- 1+4⋊C9φ: C2×C18/C2×C6C3 ⊆ Out Q81444Q8.3(C2xC18)288,349
Q8.4(C2×C18) = Q16×C18φ: C2×C18/C18C2 ⊆ Out Q8288Q8.4(C2xC18)288,184
Q8.5(C2×C18) = C9×C4○D8φ: C2×C18/C18C2 ⊆ Out Q81442Q8.5(C2xC18)288,185
Q8.6(C2×C18) = C9×C8.C22φ: C2×C18/C18C2 ⊆ Out Q81444Q8.6(C2xC18)288,187
Q8.7(C2×C18) = C9×2- 1+4φ: trivial image1444Q8.7(C2xC18)288,372

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