Extensions 1→N→G→Q→1 with N=C₃×S₃×D₅ and Q=C₂

Direct product G=N×Q with N=C₃×S₃×D₅ and Q=C₂

		d	ρ	Label	ID
S₃×C₆×D₅		60	4	S3xC6xD5	360,151

Semidirect products G=N:Q with N=C₃×S₃×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃×D₅)⋊C₂ = S₃²×D₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×S₃×D₅	30	8+	(C3xS3xD5):C2	360,137

Non-split extensions G=N.Q with N=C₃×S₃×D₅ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₃×S₃×D₅).₁C₂ = S₃×C₃⋊F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×S₃×D₅	30	8	(C3xS3xD5).1C2	360,128
(C₃×S₃×D₅).₂C₂ = C₃×S₃×F₅	φ: C₂/C₁ → C₂ ⊆ Out C₃×S₃×D₅	30	8	(C3xS3xD5).2C2	360,126

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3×S3×D5 and Q=C2