Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂×Dic₉

Direct product G=N×Q with N=C₄ and Q=C₂×Dic₉

		d	ρ	Label	ID
C₂×C₄×Dic₉		288		C2xC4xDic9	288,132

Semidirect products G=N:Q with N=C₄ and Q=C₂×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₂×Dic₉) = D₄×Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	144		C4:1(C2xDic9)	288,144
C₄⋊₂(C₂×Dic₉) = C₂×C₄⋊Dic₉	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4:2(C2xDic9)	288,135

Non-split extensions G=N.Q with N=C₄ and Q=C₂×Dic₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂×Dic₉) = D₄⋊Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	144		C4.1(C2xDic9)	288,40
C₄.₂(C₂×Dic₉) = Q₈⋊₂Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.2(C2xDic9)	288,43
C₄.₃(C₂×Dic₉) = Q₈⋊₃Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	72	4	C4.3(C2xDic9)	288,44
C₄.₄(C₂×Dic₉) = Q₈×Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	288		C4.4(C2xDic9)	288,155
C₄.₅(C₂×Dic₉) = D₄.Dic₉	φ: C₂×Dic₉/Dic₉ → C₂ ⊆ Aut C₄	144	4	C4.5(C2xDic9)	288,158
C₄.₆(C₂×Dic₉) = C₇₂.C₄	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	144	2	C4.6(C2xDic9)	288,20
C₄.₇(C₂×Dic₉) = C₈⋊Dic₉	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4.7(C2xDic9)	288,25
C₄.₈(C₂×Dic₉) = C₇₂⋊₁C₄	φ: C₂×Dic₉/C₂×C₁₈ → C₂ ⊆ Aut C₄	288		C4.8(C2xDic9)	288,26
C₄.₉(C₂×Dic₉) = C₂×C₉⋊C₁₆	central extension (φ=1)	288		C4.9(C2xDic9)	288,18
C₄.₁₀(C₂×Dic₉) = C₃₆.C₈	central extension (φ=1)	144	2	C4.10(C2xDic9)	288,19
C₄.₁₁(C₂×Dic₉) = C₈×Dic₉	central extension (φ=1)	288		C4.11(C2xDic9)	288,21
C₄.₁₂(C₂×Dic₉) = C₇₂⋊C₄	central extension (φ=1)	288		C4.12(C2xDic9)	288,23
C₄.₁₃(C₂×Dic₉) = C₂²×C₉⋊C₈	central extension (φ=1)	288		C4.13(C2xDic9)	288,130
C₄.₁₄(C₂×Dic₉) = C₂×C₄.Dic₉	central extension (φ=1)	144		C4.14(C2xDic9)	288,131
C₄.₁₅(C₂×Dic₉) = C₂³.₂₆D₁₈	central extension (φ=1)	144		C4.15(C2xDic9)	288,136

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