Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₂⁴

Direct product G=N×Q with N=C₅ and Q=S₃×C₂⁴

		d	ρ	Label	ID
S₃×C₂³×C₁₀		240		S3xC2^3xC10	480,1211

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₂⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₂⁴) = S₃×C₂³×D₅	φ: S₃×C₂⁴/S₃×C₂³ → C₂ ⊆ Aut C₅	120		C5:1(S3xC2^4)	480,1207
C₅⋊₂(S₃×C₂⁴) = C₂⁴×D₁₅	φ: S₃×C₂⁴/C₂³×C₆ → C₂ ⊆ Aut C₅	240		C5:2(S3xC2^4)	480,1212

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁