Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²⋊D₈

Direct product G=N×Q with N=C₇ and Q=C₂²⋊D₈

		d	ρ	Label	ID
C₇×C₂²⋊D₈		112		C7xC2^2:D8	448,855

Semidirect products G=N:Q with N=C₇ and Q=C₂²⋊D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²⋊D₈) = D₂₈⋊₁₃D₄	φ: C₂²⋊D₈/C₂²⋊C₈ → C₂ ⊆ Aut C₇	112		C7:1(C2^2:D8)	448,266
C₇⋊₂(C₂²⋊D₈) = D₄⋊D₂₈	φ: C₂²⋊D₈/D₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C2^2:D8)	448,307
C₇⋊₃(C₂²⋊D₈) = D₂₈⋊₁₆D₄	φ: C₂²⋊D₈/C₄⋊D₄ → C₂ ⊆ Aut C₇	112		C7:3(C2^2:D8)	448,570
C₇⋊₄(C₂²⋊D₈) = D₂₈⋊D₄	φ: C₂²⋊D₈/C₂×D₈ → C₂ ⊆ Aut C₇	112		C7:4(C2^2:D8)	448,690
C₇⋊₅(C₂²⋊D₈) = (C₂×C₁₄)⋊₈D₈	φ: C₂²⋊D₈/C₂²×D₄ → C₂ ⊆ Aut C₇	112		C7:5(C2^2:D8)	448,751

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