Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₂₃D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₂₃D₆

		d	ρ	Label	ID
C₅×C₂³.₂₃D₆		240		C5xC2^3.23D6	480,814

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₂₃D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₂₃D₆) = (C₆×D₅).D₄	φ: C₂³.₂₃D₆/Dic₃⋊C₄ → C₂ ⊆ Aut C₅	240		C5:1(C2^3.23D6)	480,483
C₅⋊₂(C₂³.₂₃D₆) = C₆.(C₂×D₂₀)	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:2(C2^3.23D6)	480,613
C₅⋊₃(C₂³.₂₃D₆) = C₂³.₁₇(S₃×D₅)	φ: C₂³.₂₃D₆/C₆.D₄ → C₂ ⊆ Aut C₅	240		C5:3(C2^3.23D6)	480,624
C₅⋊₄(C₂³.₂₃D₆) = (C₂×C₃₀).D₄	φ: C₂³.₂₃D₆/C₂²×Dic₃ → C₂ ⊆ Aut C₅	240		C5:4(C2^3.23D6)	480,612
C₅⋊₅(C₂³.₂₃D₆) = C₂³.₂₂D₃₀	φ: C₂³.₂₃D₆/C₆×D₄ → C₂ ⊆ Aut C₅	240		C5:5(C2^3.23D6)	480,900

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁