Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²≀C₂

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

		d	ρ	Label	ID
C₇×C₂²≀C₂		56		C7xC2^2wrC2	224,155

Semidirect products G=N:Q with N=C₇ and Q=C₂²≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁C₂²≀C₂ = C₂²⋊D₂₈	φ: C₂²≀C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₇	56		C7:1C2^2wrC2	224,77
C₇⋊₂C₂²≀C₂ = C₂³⋊D₁₄	φ: C₂²≀C₂/C₂×D₄ → C₂ ⊆ Aut C₇	56		C7:2C2^2wrC2	224,132
C₇⋊₃C₂²≀C₂ = C₂⁴⋊D₇	φ: C₂²≀C₂/C₂⁴ → C₂ ⊆ Aut C₇	56		C7:3C2^2wrC2	224,148

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