Extensions 1→N→G→Q→1 with N=C₅ and Q=C₃×C₂³⋊C₄

Direct product G=N×Q with N=C₅ and Q=C₃×C₂³⋊C₄

		d	ρ	Label	ID
C₁₅×C₂³⋊C₄		120	4	C15xC2^3:C4	480,202

Semidirect products G=N:Q with N=C₅ and Q=C₃×C₂³⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₃×C₂³⋊C₄) = C₃×D₁₀.D₄	φ: C₃×C₂³⋊C₄/C₂×C₁₂ → C₄ ⊆ Aut C₅	120	4	C5:1(C3xC2^3:C4)	480,279
C₅⋊₂(C₃×C₂³⋊C₄) = C₃×C₂³⋊F₅	φ: C₃×C₂³⋊C₄/C₂²×C₆ → C₄ ⊆ Aut C₅	120	4	C5:2(C3xC2^3:C4)	480,291
C₅⋊₃(C₃×C₂³⋊C₄) = C₃×C₂³.₁D₁₀	φ: C₃×C₂³⋊C₄/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	120	4	C5:3(C3xC2^3:C4)	480,84
C₅⋊₄(C₃×C₂³⋊C₄) = C₃×C₂³⋊Dic₅	φ: C₃×C₂³⋊C₄/C₆×D₄ → C₂ ⊆ Aut C₅	120	4	C5:4(C3xC2^3:C4)	480,112

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