Extensions 1→N→G→Q→1 with N=Q₈⋊₂D₇ and Q=C₄

Direct product G=N×Q with N=Q₈⋊₂D₇ and Q=C₄

		d	ρ	Label	ID
C₄×Q₈⋊₂D₇		224		C4xQ8:2D7	448,1026

Semidirect products G=N:Q with N=Q₈⋊₂D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇⋊₁C₄ = Q₈⋊(C₄×D₇)	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:1C4	448,337
Q₈⋊₂D₇⋊₂C₄ = Q₈⋊₂D₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:2C4	448,338
Q₈⋊₂D₇⋊₃C₄ = D₇×C₄≀C₂	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	56	4	Q8:2D7:3C4	448,354
Q₈⋊₂D₇⋊₄C₄ = C₄²⋊D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7:4C4	448,355
Q₈⋊₂D₇⋊₅C₄ = C₄².₁₂₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	224		Q8:2D7:5C4	448,1027

Non-split extensions G=N.Q with N=Q₈⋊₂D₇ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊₂D₇.C₄ = C₅₆.₄₉C₂³	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊₂D₇	112	4	Q8:2D7.C4	448,1203
Q₈⋊₂D₇.₂C₄ = D₇×C₈○D₄	φ: trivial image	112	4	Q8:2D7.2C4	448,1202

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