Extensions 1→N→G→Q→1 with N=C₃² and Q=C₃₆

Direct product G=N×Q with N=C₃² and Q=C₃₆

		d	ρ	Label	ID
C₃²×C₃₆		324		C3^2xC36	324,105

Semidirect products G=N:Q with N=C₃² and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊C₃₆ = C₃²⋊C₃₆	φ: C₃₆/C₆ → C₆ ⊆ Aut C₃²	36	6	C3^2:C36	324,7
C₃²⋊₂C₃₆ = C₉×C₃²⋊C₄	φ: C₃₆/C₉ → C₄ ⊆ Aut C₃²	36	4	C3^2:2C36	324,109
C₃²⋊₃C₃₆ = C₄×C₃²⋊C₉	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₃²	108		C3^2:3C36	324,27
C₃²⋊₄C₃₆ = Dic₃×C₃×C₉	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₃²	108		C3^2:4C36	324,91
C₃²⋊₅C₃₆ = C₉×C₃⋊Dic₃	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₃²	108		C3^2:5C36	324,97

Non-split extensions G=N.Q with N=C₃² and Q=C₃₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃².C₃₆ = C₄×C₂₇⋊C₃	φ: C₃₆/C₁₂ → C₃ ⊆ Aut C₃²	108	3	C3^2.C36	324,30
C₃².₂C₃₆ = Dic₃×C₂₇	φ: C₃₆/C₁₈ → C₂ ⊆ Aut C₃²	108	2	C3^2.2C36	324,11

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