Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²⋊Q₈

Direct product G=N×Q with N=C₇ and Q=C₂²⋊Q₈

		d	ρ	Label	ID
C₇×C₂²⋊Q₈		112		C7xC2^2:Q8	224,157

Semidirect products G=N:Q with N=C₇ and Q=C₂²⋊Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²⋊Q₈) = C₂²⋊Dic₁₄	φ: C₂²⋊Q₈/C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:1(C2^2:Q8)	224,73
C₇⋊₂(C₂²⋊Q₈) = D₁₄⋊Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C2^2:Q8)	224,91
C₇⋊₃(C₂²⋊Q₈) = D₁₄⋊₂Q₈	φ: C₂²⋊Q₈/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:3(C2^2:Q8)	224,92
C₇⋊₄(C₂²⋊Q₈) = C₂₈.₄₈D₄	φ: C₂²⋊Q₈/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:4(C2^2:Q8)	224,119
C₇⋊₅(C₂²⋊Q₈) = D₁₄⋊₃Q₈	φ: C₂²⋊Q₈/C₂×Q₈ → C₂ ⊆ Aut C₇	112		C7:5(C2^2:Q8)	224,141

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