Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₂₃D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₂₃D₄

		d	ρ	Label	ID
C₇×C₂³.₂₃D₄		224		C7xC2^3.23D4	448,794

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₂₃D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₂₃D₄) = (C₂×C₄)⋊₉D₂₈	φ: C₂³.₂₃D₄/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3.23D4)	448,199
C₇⋊₂(C₂³.₂₃D₄) = C₂⁴.₁₂D₁₄	φ: C₂³.₂₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.23D4)	448,490
C₇⋊₃(C₂³.₂₃D₄) = C₂³.₄₅D₂₈	φ: C₂³.₂₃D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.23D4)	448,492
C₇⋊₄(C₂³.₂₃D₄) = C₂³.₂₈D₂₈	φ: C₂³.₂₃D₄/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.23D4)	448,747
C₇⋊₅(C₂³.₂₃D₄) = C₂⁴.₁₈D₁₄	φ: C₂³.₂₃D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.23D4)	448,754

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