Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂²×D₁₂

Direct product G=N×Q with N=C₅ and Q=C₂²×D₁₂

		d	ρ	Label	ID
C₂×C₁₀×D₁₂		240		C2xC10xD12	480,1152

Semidirect products G=N:Q with N=C₅ and Q=C₂²×D₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂²×D₁₂) = C₂×D₅×D₁₂	φ: C₂²×D₁₂/C₂×D₁₂ → C₂ ⊆ Aut C₅	120		C5:1(C2^2xD12)	480,1087
C₅⋊₂(C₂²×D₁₂) = C₂²×D₆₀	φ: C₂²×D₁₂/C₂²×C₁₂ → C₂ ⊆ Aut C₅	240		C5:2(C2^2xD12)	480,1167
C₅⋊₃(C₂²×D₁₂) = C₂²×C₅⋊D₁₂	φ: C₂²×D₁₂/S₃×C₂³ → C₂ ⊆ Aut C₅	240		C5:3(C2^2xD12)	480,1120

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁