Extensions 1→N→G→Q→1 with N=Dic₉ and Q=C₂³

Direct product G=N×Q with N=Dic₉ and Q=C₂³

		d	ρ	Label	ID
C₂³×Dic₉		288		C2^3xDic9	288,365

Semidirect products G=N:Q with N=Dic₉ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉⋊₁C₂³ = C₂×D₄×D₉	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	72		Dic9:1C2^3	288,356
Dic₉⋊₂C₂³ = C₂²×C₉⋊D₄	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144		Dic9:2C2^3	288,366
Dic₉⋊₃C₂³ = C₂²×C₄×D₉	φ: trivial image	144		Dic9:3C2^3	288,353

Non-split extensions G=N.Q with N=Dic₉ and Q=C₂³

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₉.₁C₂³ = C₂²×Dic₁₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	288		Dic9.1C2^3	288,352
Dic₉.₂C₂³ = C₂×D₃₆⋊₅C₂	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.2C2^3	288,355
Dic₉.₃C₂³ = C₂×D₄⋊₂D₉	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.3C2^3	288,357
Dic₉.₄C₂³ = D₄⋊₆D₁₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	72	4	Dic9.4C2^3	288,358
Dic₉.₅C₂³ = C₂×Q₈×D₉	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144		Dic9.5C2^3	288,359
Dic₉.₆C₂³ = Q₈.₁₅D₁₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144	4	Dic9.6C2^3	288,361
Dic₉.₇C₂³ = D₄⋊₈D₁₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	72	4+	Dic9.7C2^3	288,363
Dic₉.₈C₂³ = D₄.₁₀D₁₈	φ: C₂³/C₂² → C₂ ⊆ Out Dic₉	144	4-	Dic9.8C2^3	288,364
Dic₉.₉C₂³ = C₂×Q₈⋊₃D₉	φ: trivial image	144		Dic9.9C2^3	288,360
Dic₉.₁₀C₂³ = C₄○D₄×D₉	φ: trivial image	72	4	Dic9.10C2^3	288,362

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