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

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

Semidirect products G=N:Q with N=C2×C18 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C18)⋊Q8 = C222Dic18φ: Q8/C2C22 ⊆ Aut C2×C18144(C2xC18):Q8288,88
(C2×C18)⋊2Q8 = C9×C22⋊Q8φ: Q8/C4C2 ⊆ Aut C2×C18144(C2xC18):2Q8288,172
(C2×C18)⋊3Q8 = C36.49D4φ: Q8/C4C2 ⊆ Aut C2×C18144(C2xC18):3Q8288,134
(C2×C18)⋊4Q8 = C22×Dic18φ: Q8/C4C2 ⊆ Aut C2×C18288(C2xC18):4Q8288,352

Non-split extensions G=N.Q with N=C2×C18 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C2×C18).Q8 = C36.53D4φ: Q8/C2C22 ⊆ Aut C2×C181444(C2xC18).Q8288,29
(C2×C18).2Q8 = C9×C8.C4φ: Q8/C4C2 ⊆ Aut C2×C181442(C2xC18).2Q8288,58
(C2×C18).3Q8 = C72.C4φ: Q8/C4C2 ⊆ Aut C2×C181442(C2xC18).3Q8288,20
(C2×C18).4Q8 = C18.C42φ: Q8/C4C2 ⊆ Aut C2×C18288(C2xC18).4Q8288,38
(C2×C18).5Q8 = C2×Dic9⋊C4φ: Q8/C4C2 ⊆ Aut C2×C18288(C2xC18).5Q8288,133
(C2×C18).6Q8 = C2×C4⋊Dic9φ: Q8/C4C2 ⊆ Aut C2×C18288(C2xC18).6Q8288,135
(C2×C18).7Q8 = C9×C2.C42central extension (φ=1)288(C2xC18).7Q8288,45
(C2×C18).8Q8 = C4⋊C4×C18central extension (φ=1)288(C2xC18).8Q8288,166

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