Extensions 1→N→G→Q→1 with N=C₁₈ and Q=M₄(2)

Direct product G=N×Q with N=C₁₈ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₁₈		144		M4(2)xC18	288,180

Semidirect products G=N:Q with N=C₁₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈⋊₁M₄(2) = C₂×C₈⋊D₉	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₈	144		C18:1M4(2)	288,111
C₁₈⋊₂M₄(2) = C₂×C₄.Dic₉	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18:2M4(2)	288,131

Non-split extensions G=N.Q with N=C₁₈ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₁₈.₁M₄(2) = Dic₉⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₈	288		C18.1M4(2)	288,22
C₁₈.₂M₄(2) = C₇₂⋊C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₈	288		C18.2M4(2)	288,23
C₁₈.₃M₄(2) = D₁₈⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₁₈	144		C18.3M4(2)	288,27
C₁₈.₄M₄(2) = C₄².D₉	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.4M4(2)	288,10
C₁₈.₅M₄(2) = C₃₆⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₈	288		C18.5M4(2)	288,11
C₁₈.₆M₄(2) = C₃₆.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₁₈	144		C18.6M4(2)	288,37
C₁₈.₇M₄(2) = C₉×C₈⋊C₄	central extension (φ=1)	288		C18.7M4(2)	288,47
C₁₈.₈M₄(2) = C₉×C₂²⋊C₈	central extension (φ=1)	144		C18.8M4(2)	288,48
C₁₈.₉M₄(2) = C₉×C₄⋊C₈	central extension (φ=1)	288		C18.9M4(2)	288,55

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