Extensions 1→N→G→Q→1 with N=C₃² and Q=C₁₃⋊C₃

Direct product G=N×Q with N=C₃² and Q=C₁₃⋊C₃

		d	ρ	Label	ID
C₃²×C₁₃⋊C₃		117		C3^2xC13:C3	351,13

Semidirect products G=N:Q with N=C₃² and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊(C₁₃⋊C₃) = C₁₃⋊He₃	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₃²	117	3	C3^2:(C13:C3)	351,8

Non-split extensions G=N.Q with N=C₃² and Q=C₁₃⋊C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².(C₁₃⋊C₃) = C₃₉.C₃²	φ: C₁₃⋊C₃/C₁₃ → C₃ ⊆ Aut C₃²	117	3	C3^2.(C13:C3)	351,7
C₃².₂(C₁₃⋊C₃) = C₃×C₁₃⋊C₉	central extension (φ=1)	351		C3^2.2(C13:C3)	351,6

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C32 and Q=C13⋊C3