Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₂₄D₄

Direct product G=N×Q with N=C₇ and Q=C₂³.₂₄D₄

		d	ρ	Label	ID
C₇×C₂³.₂₄D₄		224		C7xC2^3.24D4	448,824

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₂₄D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₂₄D₄) = D₄⋊₂D₇⋊C₄	φ: C₂³.₂₄D₄/D₄⋊C₄ → C₂ ⊆ Aut C₇	224		C7:1(C2^3.24D4)	448,306
C₇⋊₂(C₂³.₂₄D₄) = Q₈⋊₂D₇⋊C₄	φ: C₂³.₂₄D₄/Q₈⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3.24D4)	448,338
C₇⋊₃(C₂³.₂₄D₄) = C₄.(C₂×D₂₈)	φ: C₂³.₂₄D₄/C₄²⋊C₂ → C₂ ⊆ Aut C₇	224		C7:3(C2^3.24D4)	448,536
C₇⋊₄(C₂³.₂₄D₄) = C₂³.₂₃D₂₈	φ: C₂³.₂₄D₄/C₂²×C₈ → C₂ ⊆ Aut C₇	224		C7:4(C2^3.24D4)	448,647
C₇⋊₅(C₂³.₂₄D₄) = C₂₈.(C₂×D₄)	φ: C₂³.₂₄D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	224		C7:5(C2^3.24D4)	448,767

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