Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₄²⋊C₂

Direct product G=N×Q with N=C₇ and Q=C₂×C₄²⋊C₂

		d	ρ	Label	ID
C₁₄×C₄²⋊C₂		224		C14xC4^2:C2	448,1297

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₄²⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₄²⋊C₂) = C₂×C₄²⋊D₇	φ: C₂×C₄²⋊C₂/C₂×C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2xC4^2:C2)	448,925
C₇⋊₂(C₂×C₄²⋊C₂) = C₂×C₂³.₁₁D₁₄	φ: C₂×C₄²⋊C₂/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2xC4^2:C2)	448,933
C₇⋊₃(C₂×C₄²⋊C₂) = C₂×C₄⋊C₄⋊₇D₇	φ: C₂×C₄²⋊C₂/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2xC4^2:C2)	448,955
C₇⋊₄(C₂×C₄²⋊C₂) = D₇×C₄²⋊C₂	φ: C₂×C₄²⋊C₂/C₄²⋊C₂ → C₂ ⊆ Aut C₇	112		C7:4(C2xC4^2:C2)	448,973
C₇⋊₅(C₂×C₄²⋊C₂) = C₂×C₂³.₂₁D₁₄	φ: C₂×C₄²⋊C₂/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:5(C2xC4^2:C2)	448,1239

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