Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂×C₂²⋊C₄

Direct product G=N×Q with N=C₇ and Q=C₂×C₂²⋊C₄

		d	ρ	Label	ID
C₁₄×C₂²⋊C₄		112		C14xC2^2:C4	224,150

Semidirect products G=N:Q with N=C₇ and Q=C₂×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂×C₂²⋊C₄) = D₇×C₂²⋊C₄	φ: C₂×C₂²⋊C₄/C₂²⋊C₄ → C₂ ⊆ Aut C₇	56		C7:1(C2xC2^2:C4)	224,75
C₇⋊₂(C₂×C₂²⋊C₄) = C₂×D₁₄⋊C₄	φ: C₂×C₂²⋊C₄/C₂²×C₄ → C₂ ⊆ Aut C₇	112		C7:2(C2xC2^2:C4)	224,122
C₇⋊₃(C₂×C₂²⋊C₄) = C₂×C₂³.D₇	φ: C₂×C₂²⋊C₄/C₂⁴ → C₂ ⊆ Aut C₇	112		C7:3(C2xC2^2:C4)	224,147

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