Extensions 1→N→G→Q→1 with N=Dic₃ and Q=D₁₈

Direct product G=N×Q with N=Dic₃ and Q=D₁₈

		d	ρ	Label	ID
C₂×Dic₃×D₉		144		C2xDic3xD9	432,304

Semidirect products G=N:Q with N=Dic₃ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁D₁₈ = D₉×C₃⋊D₄	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4	Dic3:1D18	432,314
Dic₃⋊₂D₁₈ = D₁₈⋊D₆	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	36	4+	Dic3:2D18	432,315
Dic₃⋊₃D₁₈ = S₃×D₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72	4+	Dic3:3D18	432,291
Dic₃⋊₄D₁₈ = C₂×C₃⋊D₃₆	φ: D₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72		Dic3:4D18	432,307
Dic₃⋊₅D₁₈ = C₄×S₃×D₉	φ: trivial image	72	4	Dic3:5D18	432,290
Dic₃⋊₆D₁₈ = C₂×C₁₈.D₆	φ: trivial image	72		Dic3:6D18	432,306

Non-split extensions G=N.Q with N=Dic₃ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁D₁₈ = D₉×Dic₆	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	144	4-	Dic3.1D18	432,280
Dic₃.₂D₁₈ = D₁₈.D₆	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4	Dic3.2D18	432,281
Dic₃.₃D₁₈ = Dic₆⋊₅D₉	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4+	Dic3.3D18	432,282
Dic₃.₄D₁₈ = Dic₁₈⋊S₃	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4	Dic3.4D18	432,283
Dic₃.₅D₁₈ = Dic₃.D₁₈	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4	Dic3.5D18	432,309
Dic₃.₆D₁₈ = D₁₈.₄D₆	φ: D₁₈/D₉ → C₂ ⊆ Out Dic₃	72	4-	Dic3.6D18	432,310
Dic₃.₇D₁₈ = S₃×Dic₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out Dic₃	144	4-	Dic3.7D18	432,284
Dic₃.₈D₁₈ = D₆.D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out Dic₃	72	4	Dic3.8D18	432,287
Dic₃.₉D₁₈ = C₂×C₉⋊Dic₆	φ: D₁₈/C₁₈ → C₂ ⊆ Out Dic₃	144		Dic3.9D18	432,303
Dic₃.₁₀D₁₈ = D₃₆⋊₅S₃	φ: trivial image	144	4-	Dic3.10D18	432,288
Dic₃.₁₁D₁₈ = Dic₉.D₆	φ: trivial image	72	4+	Dic3.11D18	432,289
Dic₃.₁₂D₁₈ = D₁₈.₃D₆	φ: trivial image	72	4	Dic3.12D18	432,305

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