Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³:Q₈

Direct product G=NxQ with N=C₇ and Q=C₂³:Q₈

		d	ρ	Label	ID
C₇xC₂³:Q₈		224		C7xC2^3:Q8	448,801

Semidirect products G=N:Q with N=C₇ and Q=C₂³:Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇:₁(C₂³:Q₈) = (C₂xC₄).₂₀D₂₈	φ: C₂³:Q₈/C₂.C₄² → C₂ ⊆ Aut C₇	224		C7:1(C2^3:Q8)	448,207
C₇:₂(C₂³:Q₈) = C₂³:Dic₁₄	φ: C₂³:Q₈/C₂xC₂²:C₄ → C₂ ⊆ Aut C₇	224		C7:2(C2^3:Q8)	448,481
C₇:₃(C₂³:Q₈) = (C₂²xQ₈):D₇	φ: C₂³:Q₈/C₂²xQ₈ → C₂ ⊆ Aut C₇	224		C7:3(C2^3:Q8)	448,765

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