Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×Dic₃

Direct product G=N×Q with N=C₅ and Q=C₂²×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₀		240		Dic3xC2xC10	240,173

Semidirect products G=N:Q with N=C₅ and Q=C₂²×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂²×Dic₃) = C₂²×C₃⋊F₅	φ: C₂²×Dic₃/C₂×C₆ → C₄ ⊆ Aut C₅	60		C5:(C2^2xDic3)	240,201
C₅⋊₂(C₂²×Dic₃) = C₂×D₅×Dic₃	φ: C₂²×Dic₃/C₂×Dic₃ → C₂ ⊆ Aut C₅	120		C5:2(C2^2xDic3)	240,139
C₅⋊₃(C₂²×Dic₃) = C₂²×Dic₁₅	φ: C₂²×Dic₃/C₂²×C₆ → C₂ ⊆ Aut C₅	240		C5:3(C2^2xDic3)	240,183

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁