Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₇₈C₂³

Direct product G=N×Q with N=C₅ and Q=C₂³.₇₈C₂³

		d	ρ	Label	ID
C₅×C₂³.₇₈C₂³		320		C5xC2^3.78C2^3	320,896

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₇₈C₂³

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₇₈C₂³) = (C₂×Dic₅)⋊Q₈	φ: C₂³.₇₈C₂³/C₂.C₄² → C₂ ⊆ Aut C₅	320		C5:1(C2^3.78C2^3)	320,283
C₅⋊₂(C₂³.₇₈C₂³) = (C₂×C₄)⋊Dic₁₀	φ: C₂³.₇₈C₂³/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	320		C5:2(C2^3.78C2^3)	320,606
C₅⋊₃(C₂³.₇₈C₂³) = C₁₀.C₂²≀C₂	φ: C₂³.₇₈C₂³/C₂²×Q₈ → C₂ ⊆ Aut C₅	320		C5:3(C2^3.78C2^3)	320,856

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