Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃⋊D₁₅

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

		d	ρ	Label	ID
C₃×C₃⋊D₁₅		90		C3xC3:D15	270,27

Semidirect products G=N:Q with N=C₃ and Q=C₃⋊D₁₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(C₃⋊D₁₅) = C₃³⋊D₅	φ: C₃⋊D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	135		C3:(C3:D15)	270,29

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃⋊D₁₅) = C₃⋊D₄₅	φ: C₃⋊D₁₅/C₃×C₁₅ → C₂ ⊆ Aut C₃	135		C3.(C3:D15)	270,18
C₃.₂(C₃⋊D₁₅) = C₃²⋊D₁₅	central stem extension (φ=1)	45	6	C3.2(C3:D15)	270,19

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C3⋊D15