Extensions 1→N→G→Q→1 with N=C₂xC₂₈ and Q=C₄

Direct product G=NxQ with N=C₂xC₂₈ and Q=C₄

		d	ρ	Label	ID
C₂xC₄xC₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₂xC₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₈):₁C₄ = C₂³:Dic₇	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₂₈	56	4	(C2xC28):1C4	224,40
(C₂xC₂₈):₂C₄ = C₇xC₂³:C₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₂₈	56	4	(C2xC28):2C4	224,48
(C₂xC₂₈):₃C₄ = C₁₄.C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28):3C4	224,37
(C₂xC₂₈):₄C₄ = C₇xC₂.C₄²	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28):4C4	224,44
(C₂xC₂₈):₅C₄ = C₂xC₄:Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28):5C4	224,120
(C₂xC₂₈):₆C₄ = C₂³.₂₁D₁₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28):6C4	224,121
(C₂xC₂₈):₇C₄ = C₂xC₄xDic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28):7C4	224,117
(C₂xC₂₈):₈C₄ = C₁₄xC₄:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28):8C4	224,151
(C₂xC₂₈):₉C₄ = C₇xC₄²:C₂	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28):9C4	224,152

Non-split extensions G=N.Q with N=C₂xC₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₂₈).₁C₄ = C₂₈.₁₀D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₂₈	112	4	(C2xC28).1C4	224,42
(C₂xC₂₈).₂C₄ = C₇xC₄.₁₀D₄	φ: C₄/C₁ → C₄ ⊆ Aut C₂xC₂₈	112	4	(C2xC28).2C4	224,50
(C₂xC₂₈).₃C₄ = C₄².D₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).3C4	224,9
(C₂xC₂₈).₄C₄ = C₂₈.₅₅D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28).4C4	224,36
(C₂xC₂₈).₅C₄ = C₇xC₈:C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).5C4	224,46
(C₂xC₂₈).₆C₄ = C₇xC₂²:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28).6C4	224,47
(C₂xC₂₈).₇C₄ = C₂₈:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).7C4	224,10
(C₂xC₂₈).₈C₄ = C₂₈.C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112	2	(C2xC28).8C4	224,18
(C₂xC₂₈).₉C₄ = C₂xC₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28).9C4	224,116
(C₂xC₂₈).₁₀C₄ = C₄xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).10C4	224,8
(C₂xC₂₈).₁₁C₄ = C₂xC₇:C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).11C4	224,17
(C₂xC₂₈).₁₂C₄ = C₂²xC₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).12C4	224,115
(C₂xC₂₈).₁₃C₄ = C₇xC₄:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	224		(C2xC28).13C4	224,54
(C₂xC₂₈).₁₄C₄ = C₇xM₅(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112	2	(C2xC28).14C4	224,59
(C₂xC₂₈).₁₅C₄ = C₁₄xM₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₂₈	112		(C2xC28).15C4	224,165

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