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

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

		d	ρ	Label	ID
C₇×C₂≀C₄		56	4	C7xC2wrC4	448,155

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁C₂≀C₄ = C₇⋊C₂≀C₄	φ: C₂≀C₄/C₂³⋊C₄ → C₂ ⊆ Aut C₇	56	8+	C7:1C2wrC4	448,28
C₇⋊₂C₂≀C₄ = C₂³.₃D₂₈	φ: C₂≀C₄/C₄.D₄ → C₂ ⊆ Aut C₇	56	8+	C7:2C2wrC4	448,32
C₇⋊₃C₂≀C₄ = C₂⁴⋊Dic₇	φ: C₂≀C₄/C₂²≀C₂ → C₂ ⊆ Aut C₇	56	4	C7:3C2wrC4	448,93

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