Extensions 1→N→G→Q→1 with N=C₇ and Q=C₂³.₇₈C₂³

Direct product G=N×Q with N=C₇ and Q=C₂³.₇₈C₂³

		d	ρ	Label	ID
C₇×C₂³.₇₈C₂³		448		C7xC2^3.78C2^3	448,803

Semidirect products G=N:Q with N=C₇ and Q=C₂³.₇₈C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁(C₂³.₇₈C₂³) = (C₂×Dic₇)⋊Q₈	φ: C₂³.₇₈C₂³/C₂.C₄² → C₂ ⊆ Aut C₇	448		C7:1(C2^3.78C2^3)	448,190
C₇⋊₂(C₂³.₇₈C₂³) = (C₂×C₄)⋊Dic₁₄	φ: C₂³.₇₈C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₇	448		C7:2(C2^3.78C2^3)	448,513
C₇⋊₃(C₂³.₇₈C₂³) = C₁₄.C₂²≀C₂	φ: C₂³.₇₈C₂³/C₂²×Q₈ → C₂ ⊆ Aut C₇	448		C7:3(C2^3.78C2^3)	448,763

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