Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂²×C₄○D₄

Direct product G=N×Q with N=C₇ and Q=C₂²×C₄○D₄

		d	ρ	Label	ID
C₄○D₄×C₂×C₁₄		224		C4oD4xC2xC14	448,1388

Semidirect products G=N:Q with N=C₇ and Q=C₂²×C₄○D₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂²×C₄○D₄) = C₂²×C₄○D₂₈	φ: C₂²×C₄○D₄/C₂³×C₄ → C₂ ⊆ Aut C₇	224		C7:1(C2^2xC4oD4)	448,1368
C₇⋊₂(C₂²×C₄○D₄) = C₂²×D₄⋊₂D₇	φ: C₂²×C₄○D₄/C₂²×D₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^2xC4oD4)	448,1370
C₇⋊₃(C₂²×C₄○D₄) = C₂²×Q₈⋊₂D₇	φ: C₂²×C₄○D₄/C₂²×Q₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^2xC4oD4)	448,1373
C₇⋊₄(C₂²×C₄○D₄) = C₂×D₇×C₄○D₄	φ: C₂²×C₄○D₄/C₂×C₄○D₄ → C₂ ⊆ Aut C₇	112		C7:4(C2^2xC4oD4)	448,1375

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