Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=C₂₈

Direct product G=N×Q with N=C₂×C₄ and Q=C₂₈

		d	ρ	Label	ID
C₂×C₄×C₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₂×C₄ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊C₂₈ = C₇×C₂³⋊C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂×C₄	56	4	(C2xC4):C28	224,48
(C₂×C₄)⋊₂C₂₈ = C₇×C₂.C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):2C28	224,44
(C₂×C₄)⋊₃C₂₈ = C₁₄×C₄⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4):3C28	224,151
(C₂×C₄)⋊₄C₂₈ = C₇×C₄²⋊C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4):4C28	224,152

Non-split extensions G=N.Q with N=C₂×C₄ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).C₂₈ = C₇×C₄.₁₀D₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂×C₄	112	4	(C2xC4).C28	224,50
(C₂×C₄).₂C₂₈ = C₇×C₈⋊C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).2C28	224,46
(C₂×C₄).₃C₂₈ = C₇×C₂²⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).3C28	224,47
(C₂×C₄).₄C₂₈ = C₇×C₄⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	224		(C2xC4).4C28	224,54
(C₂×C₄).₅C₂₈ = C₇×M₅(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	112	2	(C2xC4).5C28	224,59
(C₂×C₄).₆C₂₈ = C₁₄×M₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂×C₄	112		(C2xC4).6C28	224,165

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