Extensions 1→N→G→Q→1 with N=C₇⋊C₂₄ and Q=C₂

Direct product G=N×Q with N=C₇⋊C₂₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊C₂₄		112		C2xC7:C24	336,12

Semidirect products G=N:Q with N=C₇⋊C₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₂₄⋊₁C₂ = D₄⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	56	12+	C7:C24:1C2	336,18
C₇⋊C₂₄⋊₂C₂ = D₄.F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	56	12-	C7:C24:2C2	336,19
C₇⋊C₂₄⋊₃C₂ = Q₈⋊₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	56	12+	C7:C24:3C2	336,20
C₇⋊C₂₄⋊₄C₂ = C₈⋊F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	56	6	C7:C24:4C2	336,8
C₇⋊C₂₄⋊₅C₂ = C₂₈.C₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	56	6	C7:C24:5C2	336,13
C₇⋊C₂₄⋊₆C₂ = C₈×F₇	φ: trivial image	56	6	C7:C24:6C2	336,7

Non-split extensions G=N.Q with N=C₇⋊C₂₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₂₄.C₂ = Q₈.₂F₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₂₄	112	12-	C7:C24.C2	336,21

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