Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³⋊₂D₄

Direct product G=N×Q with N=C₇ and Q=C₂³⋊₂D₄

		d	ρ	Label	ID
C₇×C₂³⋊₂D₄		224		C7xC2^3:2D4	448,800

Semidirect products G=N:Q with N=C₇ and Q=C₂³⋊₂D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³⋊₂D₄) = (C₂×C₂₈)⋊₅D₄	φ: C₂³⋊₂D₄/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3:2D4)	448,205
C₇⋊₂(C₂³⋊₂D₄) = C₂³⋊₂D₂₈	φ: C₂³⋊₂D₄/C₂×C₂²⋊C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3:2D4)	448,494
C₇⋊₃(C₂³⋊₂D₄) = C₂⁴.₂₁D₁₄	φ: C₂³⋊₂D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:3(C2^3:2D4)	448,757

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