Extensions 1→N→G→Q→1 with N=C₂²xC₂₈ and Q=C₂

Direct product G=NxQ with N=C₂²xC₂₈ and Q=C₂

		d	ρ	Label	ID
C₂³xC₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂²xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₂₈):₁C₂ = C₂xD₁₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):1C2	224,122
(C₂²xC₂₈):₂C₂ = C₂³.₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):2C2	224,124
(C₂²xC₂₈):₃C₂ = C₁₄xC₂²:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):3C2	224,150
(C₂²xC₂₈):₄C₂ = D₄xC₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):4C2	224,153
(C₂²xC₂₈):₅C₂ = C₇xC₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):5C2	224,158
(C₂²xC₂₈):₆C₂ = C₂₈:₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):6C2	224,125
(C₂²xC₂₈):₇C₂ = C₂²xD₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):7C2	224,176
(C₂²xC₂₈):₈C₂ = C₂xC₄oD₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):8C2	224,177
(C₂²xC₂₈):₉C₂ = C₄xC₇:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):9C2	224,123
(C₂²xC₂₈):₁₀C₂ = D₇xC₂²xC₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):10C2	224,175
(C₂²xC₂₈):₁₁C₂ = C₇xC₄:D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):11C2	224,156
(C₂²xC₂₈):₁₂C₂ = D₄xC₂xC₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):12C2	224,190
(C₂²xC₂₈):₁₃C₂ = C₁₄xC₄oD₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28):13C2	224,192

Non-split extensions G=N.Q with N=C₂²xC₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²xC₂₈).₁C₂ = C₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).1C2	224,37
(C₂²xC₂₈).₂C₂ = C₇xC₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).2C2	224,44
(C₂²xC₂₈).₃C₂ = C₇xC₂²:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).3C2	224,47
(C₂²xC₂₈).₄C₂ = C₂xDic₇:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).4C2	224,118
(C₂²xC₂₈).₅C₂ = C₁₄xC₄:C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).5C2	224,151
(C₂²xC₂₈).₆C₂ = C₂₈.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).6C2	224,119
(C₂²xC₂₈).₇C₂ = C₂xC₄:Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).7C2	224,120
(C₂²xC₂₈).₈C₂ = C₂²xDic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).8C2	224,174
(C₂²xC₂₈).₉C₂ = C₂xC₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).9C2	224,116
(C₂²xC₂₈).₁₀C₂ = C₂³.₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).10C2	224,121
(C₂²xC₂₈).₁₁C₂ = C₂₈.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).11C2	224,36
(C₂²xC₂₈).₁₂C₂ = C₂²xC₇:C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).12C2	224,115
(C₂²xC₂₈).₁₃C₂ = C₂xC₄xDic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).13C2	224,117
(C₂²xC₂₈).₁₄C₂ = C₇xC₄²:C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).14C2	224,152
(C₂²xC₂₈).₁₅C₂ = C₇xC₂²:Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).15C2	224,157
(C₂²xC₂₈).₁₆C₂ = C₁₄xM₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	112		(C2^2xC28).16C2	224,165
(C₂²xC₂₈).₁₇C₂ = Q₈xC₂xC₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²xC₂₈	224		(C2^2xC28).17C2	224,191

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