Extensions 1→N→G→Q→1 with N=C₅ and Q=S₃×C₁₄

Direct product G=N×Q with N=C₅ and Q=S₃×C₁₄

		d	ρ	Label	ID
S₃×C₇₀		210	2	S3xC70	420,37

Semidirect products G=N:Q with N=C₅ and Q=S₃×C₁₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₅⋊₁(S₃×C₁₄) = S₃×C₇×D₅	φ: S₃×C₁₄/S₃×C₇ → C₂ ⊆ Aut C₅	105	4	C5:1(S3xC14)	420,27
C₅⋊₂(S₃×C₁₄) = C₁₄×D₁₅	φ: S₃×C₁₄/C₄₂ → C₂ ⊆ Aut C₅	210	2	C5:2(S3xC14)	420,39

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁