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

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

		d	ρ	Label	ID
C₂²×C₂₈		112		C2^2xC28	112,37

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₈)⋊₁C₂ = D₁₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56		(C2xC28):1C2	112,13
(C₂×C₂₈)⋊₂C₂ = C₇×C₂²⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56		(C2xC28):2C2	112,20
(C₂×C₂₈)⋊₃C₂ = C₂×D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56		(C2xC28):3C2	112,29
(C₂×C₂₈)⋊₄C₂ = C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28):4C2	112,30
(C₂×C₂₈)⋊₅C₂ = C₂×C₄×D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56		(C2xC28):5C2	112,28
(C₂×C₂₈)⋊₆C₂ = D₄×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56		(C2xC28):6C2	112,38
(C₂×C₂₈)⋊₇C₂ = C₇×C₄○D₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28):7C2	112,40

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

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₂₈).₁C₂ = Dic₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).1C2	112,11
(C₂×C₂₈).₂C₂ = C₇×C₄⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).2C2	112,21
(C₂×C₂₈).₃C₂ = C₄⋊Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).3C2	112,12
(C₂×C₂₈).₄C₂ = C₂×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).4C2	112,27
(C₂×C₂₈).₅C₂ = C₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28).5C2	112,9
(C₂×C₂₈).₆C₂ = C₂×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).6C2	112,8
(C₂×C₂₈).₇C₂ = C₄×Dic₇	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).7C2	112,10
(C₂×C₂₈).₈C₂ = C₇×M₄(2)	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	56	2	(C2xC28).8C2	112,23
(C₂×C₂₈).₉C₂ = Q₈×C₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₂₈	112		(C2xC28).9C2	112,39

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