Extensions 1→N→G→Q→1 with N=C₁₈ and Q=C₂×C₈

Direct product G=N×Q with N=C₁₈ and Q=C₂×C₈

		d	ρ	Label	ID
C₂²×C₇₂		288		C2^2xC72	288,179

Semidirect products G=N:Q with N=C₁₈ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁(C₂×C₈) = C₂×C₈×D₉	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	144		C18:1(C2xC8)	288,110
C₁₈⋊₂(C₂×C₈) = C₂²×C₉⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18:2(C2xC8)	288,130

Non-split extensions G=N.Q with N=C₁₈ and Q=C₂×C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁(C₂×C₈) = C₁₆×D₉	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	144	2	C18.1(C2xC8)	288,4
C₁₈.₂(C₂×C₈) = C₁₆⋊D₉	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	144	2	C18.2(C2xC8)	288,5
C₁₈.₃(C₂×C₈) = C₈×Dic₉	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	288		C18.3(C2xC8)	288,21
C₁₈.₄(C₂×C₈) = Dic₉⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	288		C18.4(C2xC8)	288,22
C₁₈.₅(C₂×C₈) = D₁₈⋊C₈	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₁₈	144		C18.5(C2xC8)	288,27
C₁₈.₆(C₂×C₈) = C₄×C₉⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.6(C2xC8)	288,9
C₁₈.₇(C₂×C₈) = C₃₆⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.7(C2xC8)	288,11
C₁₈.₈(C₂×C₈) = C₂×C₉⋊C₁₆	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.8(C2xC8)	288,18
C₁₈.₉(C₂×C₈) = C₃₆.C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	144	2	C18.9(C2xC8)	288,19
C₁₈.₁₀(C₂×C₈) = C₃₆.₅₅D₄	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.10(C2xC8)	288,37
C₁₈.₁₁(C₂×C₈) = C₉×C₂²⋊C₈	central extension (φ=1)	144		C18.11(C2xC8)	288,48
C₁₈.₁₂(C₂×C₈) = C₉×C₄⋊C₈	central extension (φ=1)	288		C18.12(C2xC8)	288,55
C₁₈.₁₃(C₂×C₈) = C₉×M₅(2)	central extension (φ=1)	144	2	C18.13(C2xC8)	288,60

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