Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂².M₄(2)

Direct product G=N×Q with N=C₅ and Q=C₂².M₄(2)

		d	ρ	Label	ID
C₅×C₂².M₄(2)		160		C5xC2^2.M4(2)	320,129

Semidirect products G=N:Q with N=C₅ and Q=C₂².M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂².M₄(2)) = (C₂×C₂₀)⋊₁C₈	φ: C₂².M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:1(C2^2.M4(2))	320,251
C₅⋊₂(C₂².M₄(2)) = (C₂²×C₄).F₅	φ: C₂².M₄(2)/C₂²×C₄ → C₄ ⊆ Aut C₅	160		C5:2(C2^2.M4(2))	320,252
C₅⋊₃(C₂².M₄(2)) = (C₂×Dic₅)⋊C₈	φ: C₂².M₄(2)/C₂²⋊C₈ → C₂ ⊆ Aut C₅	160		C5:3(C2^2.M4(2))	320,27
C₅⋊₄(C₂².M₄(2)) = (C₂×C₂₀)⋊C₈	φ: C₂².M₄(2)/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₅	160		C5:4(C2^2.M4(2))	320,86

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