Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₇

Direct product G=N×Q with N=C₂×C₄ and Q=D₇

		d	ρ	Label	ID
C₂×C₄×D₇		56		C2xC4xD7	112,28

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₇ = D₁₄⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	56		(C2xC4):1D7	112,13
(C₂×C₄)⋊₂D₇ = C₂×D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	56		(C2xC4):2D7	112,29
(C₂×C₄)⋊₃D₇ = C₄○D₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	56	2	(C2xC4):3D7	112,30

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₇ = Dic₇⋊C₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).1D7	112,11
(C₂×C₄).₂D₇ = C₄.Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	56	2	(C2xC4).2D7	112,9
(C₂×C₄).₃D₇ = C₄⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).3D7	112,12
(C₂×C₄).₄D₇ = C₂×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).4D7	112,27
(C₂×C₄).₅D₇ = C₂×C₇⋊C₈	central extension (φ=1)	112		(C2xC4).5D7	112,8
(C₂×C₄).₆D₇ = C₄×Dic₇	central extension (φ=1)	112		(C2xC4).6D7	112,10

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