Extensions 1→N→G→Q→1 with N=Q₈ and Q=D₇

Direct product G=N×Q with N=Q₈ and Q=D₇

		d	ρ	Label	ID
Q₈×D₇		56	4-	Q8xD7	112,33

Semidirect products G=N:Q with N=Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₇ = Q₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out Q₈	56	4+	Q8:D7	112,16
Q₈⋊₂D₇ = Q₈⋊₂D₇	φ: trivial image	56	4+	Q8:2D7	112,34

Non-split extensions G=N.Q with N=Q₈ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈.D₇ = C₇⋊Q₁₆	φ: D₇/C₇ → C₂ ⊆ Out Q₈	112	4-	Q8.D7	112,17

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Extensions 1→N→G→Q→1 with N=Q8 and Q=D7