Extensions 1→N→G→Q→1 with N=C₅×S₃ and Q=C₂×D₄

Direct product G=N×Q with N=C₅×S₃ and Q=C₂×D₄

		d	ρ	Label	ID
S₃×D₄×C₁₀		120		S3xD4xC10	480,1154

Semidirect products G=N:Q with N=C₅×S₃ and Q=C₂×D₄

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×S₃)⋊₁(C₂×D₄) = C₂×S₃×D₂₀	φ: C₂×D₄/C₂×C₄ → C₂ ⊆ Out C₅×S₃	120		(C5xS3):1(C2xD4)	480,1088
(C₅×S₃)⋊₂(C₂×D₄) = S₃×D₄×D₅	φ: C₂×D₄/D₄ → C₂ ⊆ Out C₅×S₃	60	8+	(C5xS3):2(C2xD4)	480,1097
(C₅×S₃)⋊₃(C₂×D₄) = C₂×S₃×C₅⋊D₄	φ: C₂×D₄/C₂³ → C₂ ⊆ Out C₅×S₃	120		(C5xS3):3(C2xD4)	480,1123

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁