Extensions 1→N→G→Q→1 with N=C₇×C₂₈ and Q=C₂

Direct product G=N×Q with N=C₇×C₂₈ and Q=C₂

		d	ρ	Label	ID
C₁₄×C₂₈		392		C14xC28	392,33

Semidirect products G=N:Q with N=C₇×C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₂₈)⋊₁C₂ = C₂₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	196		(C7xC28):1C2	392,30
(C₇×C₂₈)⋊₂C₂ = C₇×D₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	56	2	(C7xC28):2C2	392,25
(C₇×C₂₈)⋊₃C₂ = D₇×C₂₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	56	2	(C7xC28):3C2	392,24
(C₇×C₂₈)⋊₄C₂ = C₄×C₇⋊D₇	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	196		(C7xC28):4C2	392,29
(C₇×C₂₈)⋊₅C₂ = D₄×C₇²	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	196		(C7xC28):5C2	392,34

Non-split extensions G=N.Q with N=C₇×C₂₈ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₇×C₂₈).₁C₂ = C₇²⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	392		(C7xC28).1C2	392,28
(C₇×C₂₈).₂C₂ = C₇×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	56	2	(C7xC28).2C2	392,23
(C₇×C₂₈).₃C₂ = C₇×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	56	2	(C7xC28).3C2	392,14
(C₇×C₂₈).₄C₂ = C₇²⋊₄C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	392		(C7xC28).4C2	392,15
(C₇×C₂₈).₅C₂ = Q₈×C₇²	φ: C₂/C₁ → C₂ ⊆ Aut C₇×C₂₈	392		(C7xC28).5C2	392,35

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