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

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

		d	ρ	Label	ID
C₄²×D₉		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 = C₄×D₃₆	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 = C₄×Dic₁₈	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 = C₄×C₉⋊C₈	central extension (φ=1)	288		C4^2.6D9	288,9

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