Extensions 1→N→G→Q→1 with N=C₄² and Q=D₉

Direct product G=NxQ with N=C₄² and Q=D₉

		d	ρ	Label	ID
C₄²xD₉		144		C4^2xD9	288,81

Semidirect products G=N:Q with N=C₄² and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄²:D₉ = C₄²:D₉	φ: D₉/C₃ → S₃ ⊆ Aut C₄²	36	6+	C4^2:D9	288,67
C₄²:₂D₉ = C₄²:₂D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	144		C4^2:2D9	288,82
C₄²:₃D₉ = C₄²:₃D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	144		C4^2:3D9	288,86
C₄²:₄D₉ = C₄²:₄D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	72	2	C4^2:4D9	288,12
C₄²:₅D₉ = C₄xD₃₆	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	144		C4^2:5D9	288,83
C₄²:₆D₉ = C₄²:₆D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	144		C4^2:6D9	288,84
C₄²:₇D₉ = C₄²:₇D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	144		C4^2:7D9	288,85

Non-split extensions G=N.Q with N=C₄² and Q=D₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄².₁D₉ = C₄².D₉	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	288		C4^2.1D9	288,10
C₄².₂D₉ = C₃₆:C₈	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	288		C4^2.2D9	288,11
C₄².₃D₉ = C₄xDic₁₈	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	288		C4^2.3D9	288,78
C₄².₄D₉ = C₃₆:₂Q₈	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	288		C4^2.4D9	288,79
C₄².₅D₉ = C₃₆.₆Q₈	φ: D₉/C₉ → C₂ ⊆ Aut C₄²	288		C4^2.5D9	288,80
C₄².₆D₉ = C₄xC₉:C₈	central extension (φ=1)	288		C4^2.6D9	288,9

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