Extensions 1→N→G→Q→1 with N=C₂xC₄ and Q=C₂₈

Direct product G=NxQ with N=C₂xC₄ and Q=C₂₈

		d	ρ	Label	ID
C₂xC₄xC₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₂xC₄ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄):C₂₈ = C₇xC₂³:C₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂xC₄	56	4	(C2xC4):C28	224,48
(C₂xC₄):₂C₂₈ = C₇xC₂.C₄²	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4):2C28	224,44
(C₂xC₄):₃C₂₈ = C₁₄xC₄:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4):3C28	224,151
(C₂xC₄):₄C₂₈ = C₇xC₄²:C₂	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4):4C28	224,152

Non-split extensions G=N.Q with N=C₂xC₄ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₄).C₂₈ = C₇xC₄.₁₀D₄	φ: C₂₈/C₇ → C₄ ⊆ Aut C₂xC₄	112	4	(C2xC4).C28	224,50
(C₂xC₄).₂C₂₈ = C₇xC₈:C₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).2C28	224,46
(C₂xC₄).₃C₂₈ = C₇xC₂²:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).3C28	224,47
(C₂xC₄).₄C₂₈ = C₇xC₄:C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	224		(C2xC4).4C28	224,54
(C₂xC₄).₅C₂₈ = C₇xM₅(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	112	2	(C2xC4).5C28	224,59
(C₂xC₄).₆C₂₈ = C₁₄xM₄(2)	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₂xC₄	112		(C2xC4).6C28	224,165

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