Extensions 1→N→G→Q→1 with N=C₃ and Q=S₃×F₅

Direct product G=N×Q with N=C₃ and Q=S₃×F₅

		d	ρ	Label	ID
C₃×S₃×F₅		30	8	C3xS3xF5	360,126

Semidirect products G=N:Q with N=C₃ and Q=S₃×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(S₃×F₅) = C₃⋊S₃×F₅	φ: S₃×F₅/C₃×F₅ → C₂ ⊆ Aut C₃	45		C3:1(S3xF5)	360,127
C₃⋊₂(S₃×F₅) = C₃⋊F₅⋊S₃	φ: S₃×F₅/C₃⋊F₅ → C₂ ⊆ Aut C₃	30	8+	C3:2(S3xF5)	360,129
C₃⋊₃(S₃×F₅) = S₃×C₃⋊F₅	φ: S₃×F₅/S₃×D₅ → C₂ ⊆ Aut C₃	30	8	C3:3(S3xF5)	360,128

Non-split extensions G=N.Q with N=C₃ and Q=S₃×F₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(S₃×F₅) = D₉×F₅	φ: S₃×F₅/C₃×F₅ → C₂ ⊆ Aut C₃	45	8+	C3.(S3xF5)	360,39

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=S3×F5