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

Direct product G=N×Q with N=C₁₈ and Q=C₂×Q₈

		d	ρ	Label	ID
Q₈×C₂×C₁₈		288		Q8xC2xC18	288,369

Semidirect products G=N:Q with N=C₁₈ and Q=C₂×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₂×Q₈) = C₂²×Dic₁₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18:1(C2xQ8)	288,352
C₁₈⋊₂(C₂×Q₈) = C₂×Q₈×D₉	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	144		C18:2(C2xQ8)	288,359

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂×Q₈

extension	φ:Q→Aut N	d	Label	ID
C₁₈.₁(C₂×Q₈) = C₄×Dic₁₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.1(C2xQ8)	288,78
C₁₈.₂(C₂×Q₈) = C₃₆⋊₂Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.2(C2xQ8)	288,79
C₁₈.₃(C₂×Q₈) = C₃₆.₆Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.3(C2xQ8)	288,80
C₁₈.₄(C₂×Q₈) = C₂²⋊₂Dic₁₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	C18.4(C2xQ8)	288,88
C₁₈.₅(C₂×Q₈) = C₃₆⋊Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.5(C2xQ8)	288,98
C₁₈.₆(C₂×Q₈) = C₃₆.₃Q₈	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.6(C2xQ8)	288,100
C₁₈.₇(C₂×Q₈) = C₂×Dic₉⋊C₄	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.7(C2xQ8)	288,133
C₁₈.₈(C₂×Q₈) = C₃₆.₄₉D₄	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	C18.8(C2xQ8)	288,134
C₁₈.₉(C₂×Q₈) = C₂×C₄⋊Dic₉	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288	C18.9(C2xQ8)	288,135
C₁₈.₁₀(C₂×Q₈) = Dic₉⋊₃Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	288	C18.10(C2xQ8)	288,97
C₁₈.₁₁(C₂×Q₈) = Dic₉.Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	288	C18.11(C2xQ8)	288,99
C₁₈.₁₂(C₂×Q₈) = C₄⋊C₄×D₉	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	144	C18.12(C2xQ8)	288,101
C₁₈.₁₃(C₂×Q₈) = D₁₈⋊Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	144	C18.13(C2xQ8)	288,106
C₁₈.₁₄(C₂×Q₈) = D₁₈⋊₂Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	144	C18.14(C2xQ8)	288,107
C₁₈.₁₅(C₂×Q₈) = Dic₉⋊Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	288	C18.15(C2xQ8)	288,154
C₁₈.₁₆(C₂×Q₈) = Q₈×Dic₉	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	288	C18.16(C2xQ8)	288,155
C₁₈.₁₇(C₂×Q₈) = D₁₈⋊₃Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₁₈	144	C18.17(C2xQ8)	288,156
C₁₈.₁₈(C₂×Q₈) = C₄⋊C₄×C₁₈	central extension (φ=1)	288	C18.18(C2xQ8)	288,166
C₁₈.₁₉(C₂×Q₈) = Q₈×C₃₆	central extension (φ=1)	288	C18.19(C2xQ8)	288,169
C₁₈.₂₀(C₂×Q₈) = C₉×C₂²⋊Q₈	central extension (φ=1)	144	C18.20(C2xQ8)	288,172
C₁₈.₂₁(C₂×Q₈) = C₉×C₄².C₂	central extension (φ=1)	288	C18.21(C2xQ8)	288,175
C₁₈.₂₂(C₂×Q₈) = C₉×C₄⋊Q₈	central extension (φ=1)	288	C18.22(C2xQ8)	288,178

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

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