Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₂²⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₂²⋊C₄

		d	ρ	Label	ID
C₁₅×C₂²⋊C₄		120		C15xC2^2:C4	240,82

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₃×C₂²⋊C₄) = C₃×C₂²⋊F₅	φ: C₃×C₂²⋊C₄/C₂×C₆ → C₄ ⊆ Aut C₅	60	4	C5:(C3xC2^2:C4)	240,117
C₅⋊₂(C₃×C₂²⋊C₄) = C₃×D₁₀⋊C₄	φ: C₃×C₂²⋊C₄/C₂×C₁₂ → C₂ ⊆ Aut C₅	120		C5:2(C3xC2^2:C4)	240,43
C₅⋊₃(C₃×C₂²⋊C₄) = C₃×C₂³.D₅	φ: C₃×C₂²⋊C₄/C₂²×C₆ → C₂ ⊆ Aut C₅	120		C5:3(C3xC2^2:C4)	240,48

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