Extensions 1→N→G→Q→1 with N=C₂² and Q=C₃×D₅

Direct product G=N×Q with N=C₂² and Q=C₃×D₅

		d	ρ	Label	ID
D₅×C₂×C₆		60		D5xC2xC6	120,44

Semidirect products G=N:Q with N=C₂² and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×D₅) = D₅×A₄	φ: C₃×D₅/D₅ → C₃ ⊆ Aut C₂²	20	6+	C2^2:(C3xD5)	120,39
C₂²⋊₂(C₃×D₅) = C₃×C₅⋊D₄	φ: C₃×D₅/C₁₅ → C₂ ⊆ Aut C₂²	60	2	C2^2:2(C3xD5)	120,20

Non-split extensions G=N.Q with N=C₂² and Q=C₃×D₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×D₅) = C₆×Dic₅	central extension (φ=1)	120		C2^2.(C3xD5)	120,19

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C3×D5