Extensions 1→N→G→Q→1 with N=C₄⋊C₄ and Q=D₉

Direct product G=N×Q with N=C₄⋊C₄ and Q=D₉

		d	ρ	Label	ID
C₄⋊C₄×D₉		144		C4:C4xD9	288,101

Semidirect products G=N:Q with N=C₄⋊C₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄⋊₁D₉ = C₁₈.D₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:1D9	288,17
C₄⋊C₄⋊₂D₉ = D₁₈.D₄	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:2D9	288,104
C₄⋊C₄⋊₃D₉ = C₄⋊D₃₆	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:3D9	288,105
C₄⋊C₄⋊₄D₉ = D₁₈⋊Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:4D9	288,106
C₄⋊C₄⋊₅D₉ = D₁₈⋊₂Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:5D9	288,107
C₄⋊C₄⋊₆D₉ = C₄⋊C₄⋊D₉	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	144		C4:C4:6D9	288,108
C₄⋊C₄⋊₇D₉ = C₄⋊C₄⋊₇D₉	φ: trivial image	144		C4:C4:7D9	288,102
C₄⋊C₄⋊₈D₉ = D₃₆⋊C₄	φ: trivial image	144		C4:C4:8D9	288,103

Non-split extensions G=N.Q with N=C₄⋊C₄ and Q=D₉

extension	φ:Q→Out N	d	ρ	Label	ID
C₄⋊C₄.₁D₉ = C₃₆.Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.1D9	288,14
C₄⋊C₄.₂D₉ = C₄.Dic₁₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.2D9	288,15
C₄⋊C₄.₃D₉ = C₁₈.Q₁₆	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.3D9	288,16
C₄⋊C₄.₄D₉ = C₃₆⋊Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.4D9	288,98
C₄⋊C₄.₅D₉ = Dic₉.Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.5D9	288,99
C₄⋊C₄.₆D₉ = C₃₆.₃Q₈	φ: D₉/C₉ → C₂ ⊆ Out C₄⋊C₄	288		C4:C4.6D9	288,100
C₄⋊C₄.₇D₉ = Dic₉⋊₃Q₈	φ: trivial image	288		C4:C4.7D9	288,97

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