Extensions 1→N→G→Q→1 with N=C₂² and Q=C₉⋊C₆

Direct product G=N×Q with N=C₂² and Q=C₉⋊C₆

		d	ρ	Label	ID
C₂²×C₉⋊C₆		36		C2^2xC9:C6	216,111

Semidirect products G=N:Q with N=C₂² and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₉⋊C₆) = C₃².S₄	φ: C₉⋊C₆/C₃² → S₃ ⊆ Aut C₂²	18	6+	C2^2:(C9:C6)	216,90
C₂²⋊₂(C₉⋊C₆) = D₉⋊A₄	φ: C₉⋊C₆/D₉ → C₃ ⊆ Aut C₂²	36	6+	C2^2:2(C9:C6)	216,96
C₂²⋊₃(C₉⋊C₆) = Dic₉⋊C₆	φ: C₉⋊C₆/3_-¹⁺² → C₂ ⊆ Aut C₂²	36	6	C2^2:3(C9:C6)	216,62

Non-split extensions G=N.Q with N=C₂² and Q=C₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₉⋊C₆) = C₂×C₉⋊C₁₂	central extension (φ=1)	72		C2^2.(C9:C6)	216,61

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C9⋊C6