Extensions 1→N→G→Q→1 with N=C₇ and Q=C₄².₃₀C₂²

Direct product G=N×Q with N=C₇ and Q=C₄².₃₀C₂²

		d	ρ	Label	ID
C₇×C₄².₃₀C₂²		448		C7xC4^2.30C2^2	448,899

Semidirect products G=N:Q with N=C₇ and Q=C₄².₃₀C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₄².₃₀C₂²) = C₄².₁₄D₁₄	φ: C₄².₃₀C₂²/C₈⋊C₄ → C₂ ⊆ Aut C₇	448		C7:1(C4^2.30C2^2)	448,237
C₇⋊₂(C₄².₃₀C₂²) = C₅₆⋊C₄.C₂	φ: C₄².₃₀C₂²/Q₈⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C4^2.30C2^2)	448,331
C₇⋊₃(C₄².₃₀C₂²) = C₄².₇₁D₁₄	φ: C₄².₃₀C₂²/C₄².C₂ → C₂ ⊆ Aut C₇	448		C7:3(C4^2.30C2^2)	448,603
C₇⋊₄(C₄².₃₀C₂²) = C₄².₇₇D₁₄	φ: C₄².₃₀C₂²/C₄⋊Q₈ → C₂ ⊆ Aut C₇	448		C7:4(C4^2.30C2^2)	448,616

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