Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xDic₉

Direct product G=NxQ with N=C₄ and Q=C₂xDic₉

		d	ρ	Label	ID
C₂xC₄xDic₉		288		C2xC4xDic9	288,132

Semidirect products G=N:Q with N=C₄ and Q=C₂xDic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xDic₉) = D₄xDic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	144		C4:1(C2xDic9)	288,144
C₄:₂(C₂xDic₉) = C₂xC₄:Dic₉	φ: C₂xDic₉/C₂xC₁₈ → C₂ ⊆ Aut C₄	288		C4:2(C2xDic9)	288,135

Non-split extensions G=N.Q with N=C₄ and Q=C₂xDic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xDic₉) = D₄:Dic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	144		C4.1(C2xDic9)	288,40
C₄.₂(C₂xDic₉) = Q₈:₂Dic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.2(C2xDic9)	288,43
C₄.₃(C₂xDic₉) = Q₈:₃Dic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	72	4	C4.3(C2xDic9)	288,44
C₄.₄(C₂xDic₉) = Q₈xDic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.4(C2xDic9)	288,155
C₄.₅(C₂xDic₉) = D₄.Dic₉	φ: C₂xDic₉/Dic₉ → C₂ ⊆ Aut C₄	144	4	C4.5(C2xDic9)	288,158
C₄.₆(C₂xDic₉) = C₇₂.C₄	φ: C₂xDic₉/C₂xC₁₈ → C₂ ⊆ Aut C₄	144	2	C4.6(C2xDic9)	288,20
C₄.₇(C₂xDic₉) = C₈:Dic₉	φ: C₂xDic₉/C₂xC₁₈ → C₂ ⊆ Aut C₄	288		C4.7(C2xDic9)	288,25
C₄.₈(C₂xDic₉) = C₇₂:₁C₄	φ: C₂xDic₉/C₂xC₁₈ → C₂ ⊆ Aut C₄	288		C4.8(C2xDic9)	288,26
C₄.₉(C₂xDic₉) = C₂xC₉:C₁₆	central extension (φ=1)	288		C4.9(C2xDic9)	288,18
C₄.₁₀(C₂xDic₉) = C₃₆.C₈	central extension (φ=1)	144	2	C4.10(C2xDic9)	288,19
C₄.₁₁(C₂xDic₉) = C₈xDic₉	central extension (φ=1)	288		C4.11(C2xDic9)	288,21
C₄.₁₂(C₂xDic₉) = C₇₂:C₄	central extension (φ=1)	288		C4.12(C2xDic9)	288,23
C₄.₁₃(C₂xDic₉) = C₂²xC₉:C₈	central extension (φ=1)	288		C4.13(C2xDic9)	288,130
C₄.₁₄(C₂xDic₉) = C₂xC₄.Dic₉	central extension (φ=1)	144		C4.14(C2xDic9)	288,131
C₄.₁₅(C₂xDic₉) = C₂³.₂₆D₁₈	central extension (φ=1)	144		C4.15(C2xDic9)	288,136

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