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

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

		d	ρ	Label	ID
C₄×Q₈⋊D₇		224		C4xQ8:D7	448,559

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

extension	φ:Q→Out N	d	ρ	Label	ID
Q₈⋊D₇⋊₁C₄ = Dic₇⋊₇SD₁₆	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:1C4	448,322
Q₈⋊D₇⋊₂C₄ = Q₈⋊D₇⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:2C4	448,351
Q₈⋊D₇⋊₃C₄ = M₄(2).₂₂D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:3C4	448,357
Q₈⋊D₇⋊₄C₄ = C₄².₁₉₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:4C4	448,358
Q₈⋊D₇⋊₅C₄ = C₄².₅₆D₁₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	224		Q8:D7:5C4	448,560
Q₈⋊D₇⋊₆C₄ = C₅₆.₅₀D₄	φ: C₄/C₂ → C₂ ⊆ Out Q₈⋊D₇	112	4	Q8:D7:6C4	448,679
Q₈⋊D₇⋊₇C₄ = C₅₆.₉₃D₄	φ: trivial image	112	4	Q8:D7:7C4	448,678

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