Extensions 1→N→G→Q→1 with N=C₅ and Q=C₄².₇₈C₂²

Direct product G=N×Q with N=C₅ and Q=C₄².₇₈C₂²

		d	ρ	Label	ID
C₅×C₄².₇₈C₂²		160		C5xC4^2.78C2^2	320,989

Semidirect products G=N:Q with N=C₅ and Q=C₄².₇₈C₂²

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₄².₇₈C₂²) = C₄².₂₆₄D₁₀	φ: C₄².₇₈C₂²/C₄×C₈ → C₂ ⊆ Aut C₅	160		C5:1(C4^2.78C2^2)	320,324
C₅⋊₂(C₄².₇₈C₂²) = (C₈×Dic₅)⋊C₂	φ: C₄².₇₈C₂²/D₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:2(C4^2.78C2^2)	320,395
C₅⋊₃(C₄².₇₈C₂²) = Q₈⋊Dic₅⋊C₂	φ: C₄².₇₈C₂²/Q₈⋊C₄ → C₂ ⊆ Aut C₅	160		C5:3(C4^2.78C2^2)	320,427
C₅⋊₄(C₄².₇₈C₂²) = C₄².₂₁₃D₁₀	φ: C₄².₇₈C₂²/C₄.₄D₄ → C₂ ⊆ Aut C₅	160		C5:4(C4^2.78C2^2)	320,683
C₅⋊₅(C₄².₇₈C₂²) = C₄².₂₁₆D₁₀	φ: C₄².₇₈C₂²/C₄².C₂ → C₂ ⊆ Aut C₅	160		C5:5(C4^2.78C2^2)	320,695

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