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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₂₈)⋊₁C₂ = C₄²⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):1C2	224,71
(C₄×C₂₈)⋊₂C₂ = C₇×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):2C2	224,152
(C₄×C₂₈)⋊₃C₂ = C₇×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):3C2	224,161
(C₄×C₂₈)⋊₄C₂ = C₂₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):4C2	224,69
(C₄×C₂₈)⋊₅C₂ = C₄.D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):5C2	224,70
(C₄×C₂₈)⋊₆C₂ = Dic₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	56	2	(C4xC28):6C2	224,11
(C₄×C₂₈)⋊₇C₂ = C₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):7C2	224,68
(C₄×C₂₈)⋊₈C₂ = D₇×C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):8C2	224,66
(C₄×C₂₈)⋊₉C₂ = C₄²⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):9C2	224,67
(C₄×C₂₈)⋊₁₀C₂ = C₇×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	56	2	(C4xC28):10C2	224,53
(C₄×C₂₈)⋊₁₁C₂ = D₄×C₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):11C2	224,153
(C₄×C₂₈)⋊₁₂C₂ = C₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):12C2	224,159
(C₄×C₂₈)⋊₁₃C₂ = C₇×C₄⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	112		(C4xC28):13C2	224,162

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄×C₂₈).₁C₂ = C₇×C₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).1C2	224,46
(C₄×C₂₈).₂C₂ = C₂₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).2C2	224,64
(C₄×C₂₈).₃C₂ = C₂₈.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).3C2	224,65
(C₄×C₂₈).₄C₂ = C₂₈⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).4C2	224,10
(C₄×C₂₈).₅C₂ = C₄×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).5C2	224,63
(C₄×C₂₈).₆C₂ = C₄×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).6C2	224,8
(C₄×C₂₈).₇C₂ = C₄².D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).7C2	224,9
(C₄×C₂₈).₈C₂ = C₇×C₄⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).8C2	224,54
(C₄×C₂₈).₉C₂ = Q₈×C₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).9C2	224,154
(C₄×C₂₈).₁₀C₂ = C₇×C₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).10C2	224,160
(C₄×C₂₈).₁₁C₂ = C₇×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄×C₂₈	224		(C4xC28).11C2	224,163

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