Extensions 1→N→G→Q→1 with N=Dic₉ and Q=D₄

Direct product G=N×Q with N=Dic₉ and Q=D₄

		d	ρ	Label	ID
D₄×Dic₉		144		D4xDic9	288,144

Semidirect products G=N:Q with N=Dic₉ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊₁D₄ = C₃₆⋊D₄	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	144		Dic9:1D4	288,150
Dic₉⋊₂D₄ = D₁₈⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9:2D4	288,94
Dic₉⋊₃D₄ = Dic₉⋊D₄	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9:3D4	288,149
Dic₉⋊₄D₄ = Dic₉⋊₄D₄	φ: trivial image	144		Dic9:4D4	288,91
Dic₉⋊₅D₄ = D₃₆⋊C₄	φ: trivial image	144		Dic9:5D4	288,103

Non-split extensions G=N.Q with N=Dic₉ and Q=D₄

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁D₄ = Dic₉.D₄	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	144		Dic9.1D4	288,95
Dic₉.₂D₄ = C₃₆⋊Q₈	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	288		Dic9.2D4	288,98
Dic₉.₃D₄ = D₈×D₉	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	72	4+	Dic9.3D4	288,120
Dic₉.₄D₄ = SD₁₆×D₉	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	72	4	Dic9.4D4	288,123
Dic₉.₅D₄ = Q₁₆×D₉	φ: D₄/C₄ → C₂ ⊆ Out Dic₉	144	4-	Dic9.5D4	288,127
Dic₉.₆D₄ = C₂²⋊₂Dic₁₈	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.6D4	288,88
Dic₉.₇D₄ = D₁₈⋊Q₈	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.7D4	288,106
Dic₉.₈D₄ = D₈⋊D₉	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	72	4	Dic9.8D4	288,121
Dic₉.₉D₄ = D₇₂⋊C₂	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	72	4+	Dic9.9D4	288,124
Dic₉.₁₀D₄ = SD₁₆⋊D₉	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144	4-	Dic9.10D4	288,125
Dic₉.₁₁D₄ = Q₁₆⋊D₉	φ: D₄/C₂² → C₂ ⊆ Out Dic₉	144	4	Dic9.11D4	288,128
Dic₉.₁₂D₄ = D₈⋊₃D₉	φ: trivial image	144	4-	Dic9.12D4	288,122
Dic₉.₁₃D₄ = SD₁₆⋊₃D₉	φ: trivial image	144	4	Dic9.13D4	288,126
Dic₉.₁₄D₄ = D₇₂⋊₅C₂	φ: trivial image	144	4+	Dic9.14D4	288,129

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