Extensions 1→N→G→Q→1 with N=C₂²×C₂₈ and Q=C₂

Direct product G=N×Q with N=C₂²×C₂₈ and Q=C₂

		d	ρ	Label	ID
C₂³×C₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂²×C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₈)⋊₁C₂ = C₂×D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):1C2	224,122
(C₂²×C₂₈)⋊₂C₂ = C₂³.₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):2C2	224,124
(C₂²×C₂₈)⋊₃C₂ = C₁₄×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):3C2	224,150
(C₂²×C₂₈)⋊₄C₂ = D₄×C₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):4C2	224,153
(C₂²×C₂₈)⋊₅C₂ = C₇×C₂².D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):5C2	224,158
(C₂²×C₂₈)⋊₆C₂ = C₂₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):6C2	224,125
(C₂²×C₂₈)⋊₇C₂ = C₂²×D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):7C2	224,176
(C₂²×C₂₈)⋊₈C₂ = C₂×C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):8C2	224,177
(C₂²×C₂₈)⋊₉C₂ = C₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):9C2	224,123
(C₂²×C₂₈)⋊₁₀C₂ = D₇×C₂²×C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):10C2	224,175
(C₂²×C₂₈)⋊₁₁C₂ = C₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):11C2	224,156
(C₂²×C₂₈)⋊₁₂C₂ = D₄×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):12C2	224,190
(C₂²×C₂₈)⋊₁₃C₂ = C₁₄×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28):13C2	224,192

Non-split extensions G=N.Q with N=C₂²×C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂²×C₂₈).₁C₂ = C₁₄.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).1C2	224,37
(C₂²×C₂₈).₂C₂ = C₇×C₂.C₄²	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).2C2	224,44
(C₂²×C₂₈).₃C₂ = C₇×C₂²⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).3C2	224,47
(C₂²×C₂₈).₄C₂ = C₂×Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).4C2	224,118
(C₂²×C₂₈).₅C₂ = C₁₄×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).5C2	224,151
(C₂²×C₂₈).₆C₂ = C₂₈.₄₈D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).6C2	224,119
(C₂²×C₂₈).₇C₂ = C₂×C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).7C2	224,120
(C₂²×C₂₈).₈C₂ = C₂²×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).8C2	224,174
(C₂²×C₂₈).₉C₂ = C₂×C₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).9C2	224,116
(C₂²×C₂₈).₁₀C₂ = C₂³.₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).10C2	224,121
(C₂²×C₂₈).₁₁C₂ = C₂₈.₅₅D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).11C2	224,36
(C₂²×C₂₈).₁₂C₂ = C₂²×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).12C2	224,115
(C₂²×C₂₈).₁₃C₂ = C₂×C₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).13C2	224,117
(C₂²×C₂₈).₁₄C₂ = C₇×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).14C2	224,152
(C₂²×C₂₈).₁₅C₂ = C₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).15C2	224,157
(C₂²×C₂₈).₁₆C₂ = C₁₄×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	112		(C2^2xC28).16C2	224,165
(C₂²×C₂₈).₁₇C₂ = Q₈×C₂×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂²×C₂₈	224		(C2^2xC28).17C2	224,191

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