Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄≀C₂

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

		d	ρ	Label	ID
C₇×C₄≀C₂		56	2	C7xC4wrC2	224,53

Semidirect products G=N:Q with N=C₇ and Q=C₄≀C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁C₄≀C₂ = Dic₁₄⋊C₄	φ: C₄≀C₂/C₄² → C₂ ⊆ Aut C₇	56	2	C7:1C4wrC2	224,11
C₇⋊₂C₄≀C₂ = D₂₈⋊₄C₄	φ: C₄≀C₂/M₄(2) → C₂ ⊆ Aut C₇	56	4	C7:2C4wrC2	224,31
C₇⋊₃C₄≀C₂ = D₄⋊₂Dic₇	φ: C₄≀C₂/C₄○D₄ → C₂ ⊆ Aut C₇	56	4	C7:3C4wrC2	224,43

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