# Extensions 1→N→G→Q→1 with N=C3×C18 and Q=Q8

Direct product G=N×Q with N=C3×C18 and Q=Q8
dρLabelID
Q8×C3×C18432Q8xC3xC18432,406

Semidirect products G=N:Q with N=C3×C18 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C3×C18)⋊Q8 = C2×C9⋊Dic6φ: Q8/C2C22 ⊆ Aut C3×C18144(C3xC18):Q8432,303
(C3×C18)⋊2Q8 = C18×Dic6φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18):2Q8432,341
(C3×C18)⋊3Q8 = C6×Dic18φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18):3Q8432,340
(C3×C18)⋊4Q8 = C2×C12.D9φ: Q8/C4C2 ⊆ Aut C3×C18432(C3xC18):4Q8432,380

Non-split extensions G=N.Q with N=C3×C18 and Q=Q8
extensionφ:Q→Aut NdρLabelID
(C3×C18).1Q8 = Dic9⋊Dic3φ: Q8/C2C22 ⊆ Aut C3×C18144(C3xC18).1Q8432,88
(C3×C18).2Q8 = C18.Dic6φ: Q8/C2C22 ⊆ Aut C3×C18144(C3xC18).2Q8432,89
(C3×C18).3Q8 = Dic3⋊Dic9φ: Q8/C2C22 ⊆ Aut C3×C18144(C3xC18).3Q8432,90
(C3×C18).4Q8 = C9×Dic3⋊C4φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18).4Q8432,132
(C3×C18).5Q8 = C9×C4⋊Dic3φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18).5Q8432,133
(C3×C18).6Q8 = C3×Dic9⋊C4φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18).6Q8432,129
(C3×C18).7Q8 = C3×C4⋊Dic9φ: Q8/C4C2 ⊆ Aut C3×C18144(C3xC18).7Q8432,130
(C3×C18).8Q8 = C6.Dic18φ: Q8/C4C2 ⊆ Aut C3×C18432(C3xC18).8Q8432,181
(C3×C18).9Q8 = C36⋊Dic3φ: Q8/C4C2 ⊆ Aut C3×C18432(C3xC18).9Q8432,182
(C3×C18).10Q8 = C4⋊C4×C3×C9central extension (φ=1)432(C3xC18).10Q8432,206

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