Extensions 1→N→G→Q→1 with N=D₈ and Q=D₇

Direct product G=N×Q with N=D₈ and Q=D₇

		d	ρ	Label	ID
D₇×D₈		56	4+	D7xD8	224,105

Semidirect products G=N:Q with N=D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₈⋊₁D₇ = C₇⋊D₁₆	φ: D₇/C₇ → C₂ ⊆ Out D₈	112	4+	D8:1D7	224,32
D₈⋊₂D₇ = D₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out D₈	56	4	D8:2D7	224,106
D₈⋊₃D₇ = D₈⋊₃D₇	φ: trivial image	112	4-	D8:3D7	224,107

Non-split extensions G=N.Q with N=D₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
D₈.D₇ = D₈.D₇	φ: D₇/C₇ → C₂ ⊆ Out D₈	112	4-	D8.D7	224,33

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Extensions 1→N→G→Q→1 with N=D8 and Q=D7