Extensions 1→N→G→Q→1 with N=C₃×C₉ and Q=M₄(2)

Direct product G=N×Q with N=C₃×C₉ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃×C₉		216		M4(2)xC3xC9	432,212

Semidirect products G=N:Q with N=C₃×C₉ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₉)⋊₁M₄(2) = C₃₆.₃₉D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃×C₉	144	4	(C3xC9):1M4(2)	432,60
(C₃×C₉)⋊₂M₄(2) = C₃₆.₄₀D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃×C₉	72	4	(C3xC9):2M4(2)	432,61
(C₃×C₉)⋊₃M₄(2) = D₆.Dic₉	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃×C₉	144	4	(C3xC9):3M4(2)	432,67
(C₃×C₉)⋊₄M₄(2) = C₉×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃×C₉	144	2	(C3xC9):4M4(2)	432,110
(C₃×C₉)⋊₅M₄(2) = C₃×C₈⋊D₉	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃×C₉	144	2	(C3xC9):5M4(2)	432,106
(C₃×C₉)⋊₆M₄(2) = C₇₂⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):6M4(2)	432,170
(C₃×C₉)⋊₇M₄(2) = C₉×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	72	2	(C3xC9):7M4(2)	432,127
(C₃×C₉)⋊₈M₄(2) = C₃×C₄.Dic₉	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	72	2	(C3xC9):8M4(2)	432,125
(C₃×C₉)⋊₉M₄(2) = C₃₆.₆₉D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃×C₉	216		(C3xC9):9M4(2)	432,179

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