Extensions 1→N→G→Q→1 with N=D₆ and Q=D₁₈

Direct product G=N×Q with N=D₆ and Q=D₁₈

		d	ρ	Label	ID
C₂²×S₃×D₉		72		C2^2xS3xD9	432,544

Semidirect products G=N:Q with N=D₆ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁D₁₈ = D₉×D₁₂	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4+	D6:1D18	432,292
D₆⋊₂D₁₈ = C₃₆⋊D₆	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4	D6:2D18	432,293
D₆⋊₃D₁₈ = D₉×C₃⋊D₄	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4	D6:3D18	432,314
D₆⋊₄D₁₈ = D₁₈⋊D₆	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	36	4+	D6:4D18	432,315
D₆⋊₅D₁₈ = C₂×D₆⋊D₉	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	144		D6:5D18	432,311
D₆⋊₆D₁₈ = C₂×C₉⋊D₁₂	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	72		D6:6D18	432,312
D₆⋊₇D₁₈ = S₃×C₉⋊D₄	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	72	4	D6:7D18	432,313

Non-split extensions G=N.Q with N=D₆ and Q=D₁₈

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁D₁₈ = D₁₂⋊₅D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	144	4-	D6.1D18	432,285
D₆.₂D₁₈ = D₁₂⋊D₉	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4	D6.2D18	432,286
D₆.₃D₁₈ = Dic₃.D₁₈	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4	D6.3D18	432,309
D₆.₄D₁₈ = D₁₈.₄D₆	φ: D₁₈/D₉ → C₂ ⊆ Out D₆	72	4-	D6.4D18	432,310
D₆.₅D₁₈ = D₆.D₁₈	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	72	4	D6.5D18	432,287
D₆.₆D₁₈ = D₃₆⋊₅S₃	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	144	4-	D6.6D18	432,288
D₆.₇D₁₈ = Dic₉.D₆	φ: D₁₈/C₁₈ → C₂ ⊆ Out D₆	72	4+	D6.7D18	432,289
D₆.₈D₁₈ = S₃×Dic₁₈	φ: trivial image	144	4-	D6.8D18	432,284
D₆.₉D₁₈ = C₄×S₃×D₉	φ: trivial image	72	4	D6.9D18	432,290
D₆.₁₀D₁₈ = S₃×D₃₆	φ: trivial image	72	4+	D6.10D18	432,291
D₆.₁₁D₁₈ = C₂×S₃×Dic₉	φ: trivial image	144		D6.11D18	432,308

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