Extensions 1→N→G→Q→1 with N=D₃₆ and Q=S₃

Direct product G=N×Q with N=D₃₆ and Q=S₃

		d	ρ	Label	ID
S₃×D₃₆		72	4+	S3xD36	432,291

Semidirect products G=N:Q with N=D₃₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆⋊₁S₃ = C₃⋊D₇₂	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	72	4+	D36:1S3	432,64
D₃₆⋊₂S₃ = D₃₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	144	4	D36:2S3	432,68
D₃₆⋊₃S₃ = D₁₈.D₆	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	72	4	D36:3S3	432,281
D₃₆⋊₄S₃ = C₃₆⋊D₆	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	72	4	D36:4S3	432,293
D₃₆⋊₅S₃ = D₃₆⋊₅S₃	φ: trivial image	144	4-	D36:5S3	432,288

Non-split extensions G=N.Q with N=D₃₆ and Q=S₃

extension	φ:Q→Out N	d	ρ	Label	ID
D₃₆.₁S₃ = D₃₆.S₃	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	144	4-	D36.1S3	432,62
D₃₆.₂S₃ = Dic₆⋊D₉	φ: S₃/C₃ → C₂ ⊆ Out D₃₆	144	4	D36.2S3	432,72

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