Extensions 1→N→G→Q→1 with N=C₅ and Q=C₂³.₆D₆

Direct product G=N×Q with N=C₅ and Q=C₂³.₆D₆

		d	ρ	Label	ID
C₅×C₂³.₆D₆		120	4	C5xC2^3.6D6	480,125

Semidirect products G=N:Q with N=C₅ and Q=C₂³.₆D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(C₂³.₆D₆) = D₁₀.₄D₁₂	φ: C₂³.₆D₆/C₂×Dic₃ → C₄ ⊆ Aut C₅	120	8+	C5:1(C2^3.6D6)	480,249
C₅⋊₂(C₂³.₆D₆) = D₁₀.D₁₂	φ: C₂³.₆D₆/C₂²×S₃ → C₄ ⊆ Aut C₅	120	8-	C5:2(C2^3.6D6)	480,248
C₅⋊₃(C₂³.₆D₆) = C₁₅⋊₉(C₂³⋊C₄)	φ: C₂³.₆D₆/C₆.D₄ → C₂ ⊆ Aut C₅	120	4	C5:3(C2^3.6D6)	480,73
C₅⋊₄(C₂³.₆D₆) = C₂³.₆D₃₀	φ: C₂³.₆D₆/C₃×C₂²⋊C₄ → C₂ ⊆ Aut C₅	120	4	C5:4(C2^3.6D6)	480,166
C₅⋊₅(C₂³.₆D₆) = C₁₅⋊₈(C₂³⋊C₄)	φ: C₂³.₆D₆/C₂×C₃⋊D₄ → C₂ ⊆ Aut C₅	120	4	C5:5(C2^3.6D6)	480,72

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁