Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄²⋊₂C₂

Direct product G=N×Q with N=C₇ and Q=C₄²⋊₂C₂

		d	ρ	Label	ID
C₇×C₄²⋊₂C₂		112		C7xC4^2:2C2	224,161

Semidirect products G=N:Q with N=C₇ and Q=C₄²⋊₂C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄²⋊₂C₂) = C₄²⋊₂D₇	φ: C₄²⋊₂C₂/C₄² → C₂ ⊆ Aut C₇	112		C7:1(C4^2:2C2)	224,71
C₇⋊₂(C₄²⋊₂C₂) = C₂³.D₁₄	φ: C₄²⋊₂C₂/C₂²⋊C₄ → C₂ ⊆ Aut C₇	112		C7:2(C4^2:2C2)	224,74
C₇⋊₃(C₄²⋊₂C₂) = C₄⋊C₄⋊D₇	φ: C₄²⋊₂C₂/C₄⋊C₄ → C₂ ⊆ Aut C₇	112		C7:3(C4^2:2C2)	224,93

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