Extensions 1→N→G→Q→1 with N=C₃ and Q=C₅×D₁₅

Direct product G=N×Q with N=C₃ and Q=C₅×D₁₅

		d	ρ	Label	ID
C₁₅×D₁₅		30	2	C15xD15	450,29

Semidirect products G=N:Q with N=C₃ and Q=C₅×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₅×D₁₅) = C₅×C₃⋊D₁₅	φ: C₅×D₁₅/C₅×C₁₅ → C₂ ⊆ Aut C₃	90		C3:(C5xD15)	450,32

Non-split extensions G=N.Q with N=C₃ and Q=C₅×D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₅×D₁₅) = C₅×D₄₅	φ: C₅×D₁₅/C₅×C₁₅ → C₂ ⊆ Aut C₃	90	2	C3.(C5xD15)	450,17

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C5×D15