Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=Dic₇

Direct product G=N×Q with N=C₂×C₄ and Q=Dic₇

		d	ρ	Label	ID
C₂×C₄×Dic₇		224		C2xC4xDic7	224,117

Semidirect products G=N:Q with N=C₂×C₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊Dic₇ = C₂³⋊Dic₇	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₄	56	4	(C2xC4):Dic7	224,40
(C₂×C₄)⋊₂Dic₇ = C₁₄.C₄²	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):2Dic7	224,37
(C₂×C₄)⋊₃Dic₇ = C₂×C₄⋊Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):3Dic7	224,120
(C₂×C₄)⋊₄Dic₇ = C₂³.₂₁D₁₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4):4Dic7	224,121

Non-split extensions G=N.Q with N=C₂×C₄ and Q=Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).Dic₇ = C₂₈.₁₀D₄	φ: Dic₇/C₇ → C₄ ⊆ Aut C₂×C₄	112	4	(C2xC4).Dic7	224,42
(C₂×C₄).₂Dic₇ = C₄².D₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).2Dic7	224,9
(C₂×C₄).₃Dic₇ = C₂₈⋊C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).3Dic7	224,10
(C₂×C₄).₄Dic₇ = C₂₈.₅₅D₄	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).4Dic7	224,36
(C₂×C₄).₅Dic₇ = C₂₈.C₈	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	112	2	(C2xC4).5Dic7	224,18
(C₂×C₄).₆Dic₇ = C₂×C₄.Dic₇	φ: Dic₇/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).6Dic7	224,116
(C₂×C₄).₇Dic₇ = C₄×C₇⋊C₈	central extension (φ=1)	224		(C2xC4).7Dic7	224,8
(C₂×C₄).₈Dic₇ = C₂×C₇⋊C₁₆	central extension (φ=1)	224		(C2xC4).8Dic7	224,17
(C₂×C₄).₉Dic₇ = C₂²×C₇⋊C₈	central extension (φ=1)	224		(C2xC4).9Dic7	224,115

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