Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₂²⋊C₈

Direct product G=N×Q with N=C₇ and Q=C₂×C₂²⋊C₈

		d	ρ	Label	ID
C₁₄×C₂²⋊C₈		224		C14xC2^2:C8	448,814

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₂²⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₂²⋊C₈) = D₇×C₂²⋊C₈	φ: C₂×C₂²⋊C₈/C₂²⋊C₈ → C₂ ⊆ Aut C₇	112		C7:1(C2xC2^2:C8)	448,258
C₇⋊₂(C₂×C₂²⋊C₈) = C₂×D₁₄⋊C₈	φ: C₂×C₂²⋊C₈/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:2(C2xC2^2:C8)	448,642
C₇⋊₃(C₂×C₂²⋊C₈) = C₂×C₂₈.₅₅D₄	φ: C₂×C₂²⋊C₈/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2xC2^2:C8)	448,740

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