Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³×Dic₃

Direct product G=N×Q with N=C₅ and Q=C₂³×Dic₃

		d	ρ	Label	ID
Dic₃×C₂²×C₁₀		480		Dic3xC2^2xC10	480,1163

Semidirect products G=N:Q with N=C₅ and Q=C₂³×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊(C₂³×Dic₃) = C₂³×C₃⋊F₅	φ: C₂³×Dic₃/C₂²×C₆ → C₄ ⊆ Aut C₅	120		C5:(C2^3xDic3)	480,1206
C₅⋊₂(C₂³×Dic₃) = C₂²×D₅×Dic₃	φ: C₂³×Dic₃/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:2(C2^3xDic3)	480,1112
C₅⋊₃(C₂³×Dic₃) = C₂³×Dic₁₅	φ: C₂³×Dic₃/C₂³×C₆ → C₂ ⊆ Aut C₅	480		C5:3(C2^3xDic3)	480,1178

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁