Extensions 1→N→G→Q→1 with N=C₂² and Q=S₃×C₉

Direct product G=N×Q with N=C₂² and Q=S₃×C₉

		d	ρ	Label	ID
S₃×C₂×C₁₈		72		S3xC2xC18	216,109

Semidirect products G=N:Q with N=C₂² and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(S₃×C₉) = C₉×S₄	φ: S₃×C₉/C₉ → S₃ ⊆ Aut C₂²	36	3	C2^2:(S3xC9)	216,89
C₂²⋊₂(S₃×C₉) = S₃×C₃.A₄	φ: S₃×C₉/C₃×S₃ → C₃ ⊆ Aut C₂²	36	6	C2^2:2(S3xC9)	216,98
C₂²⋊₃(S₃×C₉) = C₉×C₃⋊D₄	φ: S₃×C₉/C₃×C₉ → C₂ ⊆ Aut C₂²	36	2	C2^2:3(S3xC9)	216,58

Non-split extensions G=N.Q with N=C₂² and Q=S₃×C₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(S₃×C₉) = Dic₃×C₁₈	central extension (φ=1)	72		C2^2.(S3xC9)	216,56

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=S3×C9