Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₂₇

Direct product G=N×Q with N=C₂×C₄ and Q=D₂₇

		d	ρ	Label	ID
C₂×C₄×D₂₇		216		C2xC4xD27	432,44

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₂₇ = D₅₄⋊C₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):1D27	432,14
(C₂×C₄)⋊₂D₂₇ = C₂×D₁₀₈	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	216		(C2xC4):2D27	432,45
(C₂×C₄)⋊₃D₂₇ = D₁₀₈⋊₅C₂	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	216	2	(C2xC4):3D27	432,46

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₂₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₂₇ = Dic₂₇⋊C₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).1D27	432,12
(C₂×C₄).₂D₂₇ = C₄.Dic₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	216	2	(C2xC4).2D27	432,10
(C₂×C₄).₃D₂₇ = C₄⋊Dic₂₇	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).3D27	432,13
(C₂×C₄).₄D₂₇ = C₂×Dic₅₄	φ: D₂₇/C₂₇ → C₂ ⊆ Aut C₂×C₄	432		(C2xC4).4D27	432,43
(C₂×C₄).₅D₂₇ = C₂×C₂₇⋊C₈	central extension (φ=1)	432		(C2xC4).5D27	432,9
(C₂×C₄).₆D₂₇ = C₄×Dic₂₇	central extension (φ=1)	432		(C2xC4).6D27	432,11

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