Extensions 1→N→G→Q→1 with N=C₄×D₇ and Q=C₂

Direct product G=N×Q with N=C₄×D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄×D₇		56		C2xC4xD7	112,28

Semidirect products G=N:Q with N=C₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₂ = D₄×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	28	4+	(C4xD7):1C2	112,31
(C₄×D₇)⋊₂C₂ = D₄⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	56	4-	(C4xD7):2C2	112,32
(C₄×D₇)⋊₃C₂ = Q₈⋊₂D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	56	4+	(C4xD7):3C2	112,34
(C₄×D₇)⋊₄C₂ = C₄○D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	56	2	(C4xD7):4C2	112,30

Non-split extensions G=N.Q with N=C₄×D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₂ = Q₈×D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	56	4-	(C4xD7).1C2	112,33
(C₄×D₇).₂C₂ = C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₄×D₇	56	2	(C4xD7).2C2	112,4
(C₄×D₇).₃C₂ = C₈×D₇	φ: trivial image	56	2	(C4xD7).3C2	112,3

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