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

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

		d	ρ	Label	ID
C₇×C₂≀C₂²		56	4	C7xC2wrC2^2	448,865

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁C₂≀C₂² = C₂³⋊D₂₈	φ: C₂≀C₂²/C₂³⋊C₄ → C₂ ⊆ Aut C₇	56	8+	C7:1C2wrC2^2	448,275
C₇⋊₂C₂≀C₂² = C₂⁴⋊D₁₄	φ: C₂≀C₂²/C₂²≀C₂ → C₂ ⊆ Aut C₇	56	4	C7:2C2wrC2^2	448,566
C₇⋊₃C₂≀C₂² = 2₊¹⁺⁴⋊₂D₇	φ: C₂≀C₂²/2₊¹⁺⁴ → C₂ ⊆ Aut C₇	56	8+	C7:3C2wrC2^2	448,778

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