Extensions 1→N→G→Q→1 with N=C₂₇ and Q=M₄(2)

Direct product G=N×Q with N=C₂₇ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₇		216	2	M4(2)xC27	432,24

Semidirect products G=N:Q with N=C₂₇ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₇⋊₁M₄(2) = C₈⋊D₂₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₇	216	2	C27:1M4(2)	432,6
C₂₇⋊₂M₄(2) = C₄.Dic₂₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₇	216	2	C27:2M4(2)	432,10

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