Extensions 1→N→G→Q→1 with N=C₂² and Q=C₉×Dic₃

Direct product G=N×Q with N=C₂² and Q=C₉×Dic₃

		d	ρ	Label	ID
Dic₃×C₂×C₁₈		144		Dic3xC2xC18	432,373

Semidirect products G=N:Q with N=C₂² and Q=C₉×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₉×Dic₃) = C₉×A₄⋊C₄	φ: C₉×Dic₃/C₁₈ → S₃ ⊆ Aut C₂²	108	3	C2^2:(C9xDic3)	432,242
C₂²⋊₂(C₉×Dic₃) = Dic₃×C₃.A₄	φ: C₉×Dic₃/C₃×Dic₃ → C₃ ⊆ Aut C₂²	36	6	C2^2:2(C9xDic3)	432,271
C₂²⋊₃(C₉×Dic₃) = C₉×C₆.D₄	φ: C₉×Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₂²	72		C2^2:3(C9xDic3)	432,165

Non-split extensions G=N.Q with N=C₂² and Q=C₉×Dic₃

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₉×Dic₃) = C₉×C₄.Dic₃	φ: C₉×Dic₃/C₃×C₁₈ → C₂ ⊆ Aut C₂²	72	2	C2^2.(C9xDic3)	432,127
C₂².₂(C₉×Dic₃) = C₁₈×C₃⋊C₈	central extension (φ=1)	144		C2^2.2(C9xDic3)	432,126

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C22 and Q=C9×Dic3