Extensions 1→N→G→Q→1 with N=C₃₆:S₃ and Q=C₂

Direct product G=NxQ with N=C₃₆:S₃ and Q=C₂

		d	ρ	Label	ID
C₂xC₃₆:S₃		216		C2xC36:S3	432,382

Semidirect products G=N:Q with N=C₃₆:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₆:S₃:₁C₂ = C₃:D₇₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:1C2	432,64
C₃₆:S₃:₂C₂ = C₇₂:₁S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	216		C36:S3:2C2	432,172
C₃₆:S₃:₃C₂ = Dic₉.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:3C2	432,289
C₃₆:S₃:₄C₂ = S₃xD₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:4C2	432,291
C₃₆:S₃:₅C₂ = C₉:D₂₄	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:5C2	432,69
C₃₆:S₃:₆C₂ = C₃₆.₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	216		C36:S3:6C2	432,191
C₃₆:S₃:₇C₂ = Dic₆:₅D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:7C2	432,282
C₃₆:S₃:₈C₂ = D₉xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3:8C2	432,292
C₃₆:S₃:₉C₂ = D₄xC₉:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	108		C36:S3:9C2	432,388
C₃₆:S₃:₁₀C₂ = C₃₆.₂₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	216		C36:S3:10C2	432,393
C₃₆:S₃:₁₁C₂ = C₃₆.₇₀D₆	φ: trivial image	216		C36:S3:11C2	432,383

Non-split extensions G=N.Q with N=C₃₆:S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃₆:S₃.₁C₂ = C₆.D₃₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3.1C2	432,63
C₃₆:S₃.₂C₂ = C₂₄:D₉	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	216		C36:S3.2C2	432,171
C₃₆:S₃.₃C₂ = C₁₈.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	72	4+	C36:S3.3C2	432,73
C₃₆:S₃.₄C₂ = C₃₆.₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₃₆:S₃	216		C36:S3.4C2	432,195

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