Extensions 1→N→G→Q→1 with N=C₇⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₇⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₇⋊C₈		112		C2xC7:C8	112,8

Semidirect products G=N:Q with N=C₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈⋊₁C₂ = D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	56	4+	C7:C8:1C2	112,14
C₇⋊C₈⋊₂C₂ = D₄.D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	56	4-	C7:C8:2C2	112,15
C₇⋊C₈⋊₃C₂ = Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	56	4+	C7:C8:3C2	112,16
C₇⋊C₈⋊₄C₂ = C₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	56	2	C7:C8:4C2	112,4
C₇⋊C₈⋊₅C₂ = C₄.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	56	2	C7:C8:5C2	112,9
C₇⋊C₈⋊₆C₂ = C₈×D₇	φ: trivial image	56	2	C7:C8:6C2	112,3

Non-split extensions G=N.Q with N=C₇⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₇⋊C₈.C₂ = C₇⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₇⋊C₈	112	4-	C7:C8.C2	112,17

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