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

Direct product G=N×Q with N=C₃₆ and Q=S₃

		d	ρ	Label	ID
S₃×C₃₆		72	2	S3xC36	216,47

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆⋊₁S₃ = C₃₆⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	108		C36:1S3	216,65
C₃₆⋊₂S₃ = C₄×C₉⋊S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	108		C36:2S3	216,64
C₃₆⋊₃S₃ = C₉×D₁₂	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36:3S3	216,48

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₆.₁S₃ = Dic₅₄	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	216	2-	C36.1S3	216,4
C₃₆.₂S₃ = D₁₀₈	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	108	2+	C36.2S3	216,6
C₃₆.₃S₃ = C₁₂.D₉	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	216		C36.3S3	216,63
C₃₆.₄S₃ = C₂₇⋊C₈	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	216	2	C36.4S3	216,1
C₃₆.₅S₃ = C₄×D₂₇	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	108	2	C36.5S3	216,5
C₃₆.₆S₃ = C₃₆.S₃	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	216		C36.6S3	216,16
C₃₆.₇S₃ = C₉×Dic₆	φ: S₃/C₃ → C₂ ⊆ Aut C₃₆	72	2	C36.7S3	216,44
C₃₆.₈S₃ = C₉×C₃⋊C₈	central extension (φ=1)	72	2	C36.8S3	216,13

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