Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂×Dic₉

Direct product G=N×Q with N=C₂² and Q=C₂×Dic₉

		d	ρ	Label	ID
C₂³×Dic₉		288		C2^3xDic9	288,365

Semidirect products G=N:Q with N=C₂² and Q=C₂×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₂×Dic₉) = C₂×C₆.S₄	φ: C₂×Dic₉/C₂×C₆ → S₃ ⊆ Aut C₂²	72		C2^2:(C2xDic9)	288,341
C₂²⋊₂(C₂×Dic₉) = D₄×Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₂²	144		C2^2:2(C2xDic9)	288,144
C₂²⋊₃(C₂×Dic₉) = C₂×C₁₈.D₄	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2:3(C2xDic9)	288,162

Non-split extensions G=N.Q with N=C₂² and Q=C₂×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂×Dic₉) = D₄.Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₂²	144	4	C2^2.1(C2xDic9)	288,158
C₂².₂(C₂×Dic₉) = C₃₆.D₄	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.2(C2xDic9)	288,39
C₂².₃(C₂×Dic₉) = C₂³⋊₂Dic₉	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	72	4	C2^2.3(C2xDic9)	288,41
C₂².₄(C₂×Dic₉) = C₃₆.₉D₄	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144	4	C2^2.4(C2xDic9)	288,42
C₂².₅(C₂×Dic₉) = C₂³.₂₆D₁₈	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₂²	144		C2^2.5(C2xDic9)	288,136
C₂².₆(C₂×Dic₉) = C₄×C₉⋊C₈	central extension (φ=1)	288		C2^2.6(C2xDic9)	288,9
C₂².₇(C₂×Dic₉) = C₄².D₉	central extension (φ=1)	288		C2^2.7(C2xDic9)	288,10
C₂².₈(C₂×Dic₉) = C₃₆⋊C₈	central extension (φ=1)	288		C2^2.8(C2xDic9)	288,11
C₂².₉(C₂×Dic₉) = C₃₆.₅₅D₄	central extension (φ=1)	144		C2^2.9(C2xDic9)	288,37
C₂².₁₀(C₂×Dic₉) = C₁₈.C₄²	central extension (φ=1)	288		C2^2.10(C2xDic9)	288,38
C₂².₁₁(C₂×Dic₉) = C₂²×C₉⋊C₈	central extension (φ=1)	288		C2^2.11(C2xDic9)	288,130
C₂².₁₂(C₂×Dic₉) = C₂×C₄.Dic₉	central extension (φ=1)	144		C2^2.12(C2xDic9)	288,131
C₂².₁₃(C₂×Dic₉) = C₂×C₄×Dic₉	central extension (φ=1)	288		C2^2.13(C2xDic9)	288,132
C₂².₁₄(C₂×Dic₉) = C₂×C₄⋊Dic₉	central extension (φ=1)	288		C2^2.14(C2xDic9)	288,135

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