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

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

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

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈⋊₁D₆ = S₃×D₃₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4+	D18:1D6	432,291
D₁₈⋊₂D₆ = C₃₆⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4	D18:2D6	432,293
D₁₈⋊₃D₆ = S₃×C₉⋊D₄	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4	D18:3D6	432,313
D₁₈⋊₄D₆ = D₁₈⋊D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	36	4+	D18:4D6	432,315
D₁₈⋊₅D₆ = C₂×C₃⋊D₃₆	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	72		D18:5D6	432,307
D₁₈⋊₆D₆ = C₂×D₆⋊D₉	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	144		D18:6D6	432,311
D₁₈⋊₇D₆ = D₉×C₃⋊D₄	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	72	4	D18:7D6	432,314

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

extension	φ:Q→Out N	d	ρ	Label	ID
D₁₈.₁D₆ = D₁₈.D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4	D18.1D6	432,281
D₁₈.₂D₆ = D₃₆⋊₅S₃	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	144	4-	D18.2D6	432,288
D₁₈.₃D₆ = D₁₈.₃D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4	D18.3D6	432,305
D₁₈.₄D₆ = D₁₈.₄D₆	φ: D₆/S₃ → C₂ ⊆ Out D₁₈	72	4-	D18.4D6	432,310
D₁₈.₅D₆ = Dic₆⋊₅D₉	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	72	4+	D18.5D6	432,282
D₁₈.₆D₆ = D₁₂⋊₅D₉	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	144	4-	D18.6D6	432,285
D₁₈.₇D₆ = D₆.D₁₈	φ: D₆/C₆ → C₂ ⊆ Out D₁₈	72	4	D18.7D6	432,287
D₁₈.₈D₆ = D₉×Dic₆	φ: trivial image	144	4-	D18.8D6	432,280
D₁₈.₉D₆ = C₄×S₃×D₉	φ: trivial image	72	4	D18.9D6	432,290
D₁₈.₁₀D₆ = D₉×D₁₂	φ: trivial image	72	4+	D18.10D6	432,292
D₁₈.₁₁D₆ = C₂×Dic₃×D₉	φ: trivial image	144		D18.11D6	432,304

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