Extensions 1→N→G→Q→1 with N=C₄xC₂₈ and Q=C₂

Direct product G=NxQ with N=C₄xC₂₈ and Q=C₂

		d	ρ	Label	ID
C₂xC₄xC₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₄xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₂₈):₁C₂ = C₄²:₂D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):1C2	224,71
(C₄xC₂₈):₂C₂ = C₇xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):2C2	224,152
(C₄xC₂₈):₃C₂ = C₇xC₄²:₂C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):3C2	224,161
(C₄xC₂₈):₄C₂ = C₂₈:₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):4C2	224,69
(C₄xC₂₈):₅C₂ = C₄.D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):5C2	224,70
(C₄xC₂₈):₆C₂ = Dic₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	56	2	(C4xC28):6C2	224,11
(C₄xC₂₈):₇C₂ = C₄xD₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):7C2	224,68
(C₄xC₂₈):₈C₂ = D₇xC₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):8C2	224,66
(C₄xC₂₈):₉C₂ = C₄²:D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):9C2	224,67
(C₄xC₂₈):₁₀C₂ = C₇xC₄wrC₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	56	2	(C4xC28):10C2	224,53
(C₄xC₂₈):₁₁C₂ = D₄xC₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):11C2	224,153
(C₄xC₂₈):₁₂C₂ = C₇xC₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):12C2	224,159
(C₄xC₂₈):₁₃C₂ = C₇xC₄:₁D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	112		(C4xC28):13C2	224,162

Non-split extensions G=N.Q with N=C₄xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₄xC₂₈).₁C₂ = C₇xC₈:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).1C2	224,46
(C₄xC₂₈).₂C₂ = C₂₈:₂Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).2C2	224,64
(C₄xC₂₈).₃C₂ = C₂₈.₆Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).3C2	224,65
(C₄xC₂₈).₄C₂ = C₂₈:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).4C2	224,10
(C₄xC₂₈).₅C₂ = C₄xDic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).5C2	224,63
(C₄xC₂₈).₆C₂ = C₄xC₇:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).6C2	224,8
(C₄xC₂₈).₇C₂ = C₄².D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).7C2	224,9
(C₄xC₂₈).₈C₂ = C₇xC₄:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).8C2	224,54
(C₄xC₂₈).₉C₂ = Q₈xC₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).9C2	224,154
(C₄xC₂₈).₁₀C₂ = C₇xC₄².C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).10C2	224,160
(C₄xC₂₈).₁₁C₂ = C₇xC₄:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₄xC₂₈	224		(C4xC28).11C2	224,163

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