Extensions 1→N→G→Q→1 with N=Dic₉ and Q=D₆

Direct product G=N×Q with N=Dic₉ and Q=D₆

		d	ρ	Label	ID
C₂×S₃×Dic₉		144		C2xS3xDic9	432,308

Semidirect products G=N:Q with N=Dic₉ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊₁D₆ = S₃×C₉⋊D₄	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4	Dic9:1D6	432,313
Dic₉⋊₂D₆ = D₁₈⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	36	4+	Dic9:2D6	432,315
Dic₉⋊₃D₆ = D₉×D₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₉	72	4+	Dic9:3D6	432,292
Dic₉⋊₄D₆ = C₂×C₉⋊D₁₂	φ: D₆/C₆ → C₂ ⊆ Out Dic₉	72		Dic9:4D6	432,312
Dic₉⋊₅D₆ = C₄×S₃×D₉	φ: trivial image	72	4	Dic9:5D6	432,290
Dic₉⋊₆D₆ = C₂×C₁₈.D₆	φ: trivial image	72		Dic9:6D6	432,306

Non-split extensions G=N.Q with N=Dic₉ and Q=D₆

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁D₆ = Dic₁₈⋊S₃	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4	Dic9.1D6	432,283
Dic₉.₂D₆ = S₃×Dic₁₈	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	144	4-	Dic9.2D6	432,284
Dic₉.₃D₆ = D₁₂⋊D₉	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4	Dic9.3D6	432,286
Dic₉.₄D₆ = Dic₉.D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4+	Dic9.4D6	432,289
Dic₉.₅D₆ = D₁₈.₃D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4	Dic9.5D6	432,305
Dic₉.₆D₆ = D₁₈.₄D₆	φ: D₆/S₃ → C₂ ⊆ Out Dic₉	72	4-	Dic9.6D6	432,310
Dic₉.₇D₆ = D₉×Dic₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₉	144	4-	Dic9.7D6	432,280
Dic₉.₈D₆ = D₆.D₁₈	φ: D₆/C₆ → C₂ ⊆ Out Dic₉	72	4	Dic9.8D6	432,287
Dic₉.₉D₆ = C₂×C₉⋊Dic₆	φ: D₆/C₆ → C₂ ⊆ Out Dic₉	144		Dic9.9D6	432,303
Dic₉.₁₀D₆ = Dic₆⋊₅D₉	φ: trivial image	72	4+	Dic9.10D6	432,282
Dic₉.₁₁D₆ = D₁₂⋊₅D₉	φ: trivial image	144	4-	Dic9.11D6	432,285
Dic₉.₁₂D₆ = Dic₃.D₁₈	φ: trivial image	72	4	Dic9.12D6	432,309

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