Extensions 1→N→G→Q→1 with N=C₃×C₃₆ and Q=C₃

Direct product G=N×Q with N=C₃×C₃₆ and Q=C₃

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

Semidirect products G=N:Q with N=C₃×C₃₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₆)⋊₁C₃ = C₄×C₃²⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108		(C3xC36):1C3	324,27
(C₃×C₃₆)⋊₂C₃ = C₄×He₃.C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108	3	(C3xC36):2C3	324,32
(C₃×C₃₆)⋊₃C₃ = C₄×He₃⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108	3	(C3xC36):3C3	324,33
(C₃×C₃₆)⋊₄C₃ = C₁₂×3_-¹⁺²	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108		(C3xC36):4C3	324,107
(C₃×C₃₆)⋊₅C₃ = C₄×C₉○He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108	3	(C3xC36):5C3	324,108

Non-split extensions G=N.Q with N=C₃×C₃₆ and Q=C₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃×C₃₆).₁C₃ = C₄×C₃.He₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108	3	(C3xC36).1C3	324,34
(C₃×C₃₆).₂C₃ = C₄×C₉⋊C₉	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	324		(C3xC36).2C3	324,28
(C₃×C₃₆).₃C₃ = C₄×C₂₇⋊C₃	φ: C₃/C₁ → C₃ ⊆ Aut C₃×C₃₆	108	3	(C3xC36).3C3	324,30

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