Extensions 1→N→G→Q→1 with N=C₄.F₇ and Q=C₂

Direct product G=N×Q with N=C₄.F₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄.F₇		112		C2xC4.F7	336,121

Semidirect products G=N:Q with N=C₄.F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₇⋊₁C₂ = D₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	56	12-	C4.F7:1C2	336,19
C₄.F₇⋊₂C₂ = D₄⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	56	12-	C4.F7:2C2	336,126
C₄.F₇⋊₃C₂ = Q₈×F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	56	12-	C4.F7:3C2	336,127
C₄.F₇⋊₄C₂ = C₅₆⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	56	6	C4.F7:4C2	336,9
C₄.F₇⋊₅C₂ = D₂₈⋊₆C₆	φ: trivial image	56	6	C4.F7:5C2	336,124

Non-split extensions G=N.Q with N=C₄.F₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄.F₇.₁C₂ = Q₈.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	112	12-	C4.F7.1C2	336,21
C₄.F₇.₂C₂ = C₈.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₄.F₇	112	6-	C4.F7.2C2	336,11

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