Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₆

Direct product G=N×Q with N=C₃²×C₆ and Q=C₆

		d	ρ	Label	ID
C₃²×C₆²		324		C3^2xC6^2	324,176

Semidirect products G=N:Q with N=C₃²×C₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆)⋊₁C₆ = C₂×C₃³⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	18	6+	(C3^2xC6):1C6	324,69
(C₃²×C₆)⋊₂C₆ = C₆×C₃²⋊C₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6):2C6	324,138
(C₃²×C₆)⋊₃C₆ = C₂×S₃×He₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6):3C6	324,139
(C₃²×C₆)⋊₄C₆ = C₂×He₃⋊₄S₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	54		(C3^2xC6):4C6	324,144
(C₃²×C₆)⋊₅C₆ = C₂²×C₃≀C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	36		(C3^2xC6):5C6	324,86
(C₃²×C₆)⋊₆C₆ = C₂×C₆×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6):6C6	324,152
(C₃²×C₆)⋊₇C₆ = S₃×C₃²×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6):7C6	324,172
(C₃²×C₆)⋊₈C₆ = C₃⋊S₃×C₃×C₆	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	36		(C3^2xC6):8C6	324,173
(C₃²×C₆)⋊₉C₆ = C₆×C₃³⋊C₂	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6):9C6	324,174

Non-split extensions G=N.Q with N=C₃²×C₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃²×C₆).₁C₆ = C₃²⋊C₃₆	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).1C6	324,7
(C₃²×C₆).₂C₆ = C₃³⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6-	(C3^2xC6).2C6	324,14
(C₃²×C₆).₃C₆ = C₂×C₃²⋊C₁₈	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).3C6	324,62
(C₃²×C₆).₄C₆ = C₃×C₃²⋊C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).4C6	324,92
(C₃²×C₆).₅C₆ = Dic₃×He₃	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).5C6	324,93
(C₃²×C₆).₆C₆ = Dic₃×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).6C6	324,95
(C₃²×C₆).₇C₆ = C₃³⋊₄C₁₂	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	108		(C3^2xC6).7C6	324,98
(C₃²×C₆).₈C₆ = C₂×S₃×3_-¹⁺²	φ: C₆/C₁ → C₆ ⊆ Aut C₃²×C₆	36	6	(C3^2xC6).8C6	324,141
(C₃²×C₆).₉C₆ = C₄×C₃²⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6).9C6	324,27
(C₃²×C₆).₁₀C₆ = C₄×C₃≀C₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	36	3	(C3^2xC6).10C6	324,31
(C₃²×C₆).₁₁C₆ = C₂²×C₃²⋊C₉	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6).11C6	324,82
(C₃²×C₆).₁₂C₆ = C₁₂×He₃	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6).12C6	324,106
(C₃²×C₆).₁₃C₆ = C₁₂×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6).13C6	324,107
(C₃²×C₆).₁₄C₆ = C₂×C₆×3_-¹⁺²	φ: C₆/C₂ → C₃ ⊆ Aut C₃²×C₆	108		(C3^2xC6).14C6	324,153
(C₃²×C₆).₁₅C₆ = Dic₃×C₃×C₉	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).15C6	324,91
(C₃²×C₆).₁₆C₆ = C₉×C₃⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).16C6	324,97
(C₃²×C₆).₁₇C₆ = S₃×C₃×C₁₈	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).17C6	324,137
(C₃²×C₆).₁₈C₆ = C₁₈×C₃⋊S₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).18C6	324,143
(C₃²×C₆).₁₉C₆ = Dic₃×C₃³	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).19C6	324,155
(C₃²×C₆).₂₀C₆ = C₃²×C₃⋊Dic₃	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	36		(C3^2xC6).20C6	324,156
(C₃²×C₆).₂₁C₆ = C₃×C₃³⋊₅C₄	φ: C₆/C₃ → C₂ ⊆ Aut C₃²×C₆	108		(C3^2xC6).21C6	324,157

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Extensions 1→N→G→Q→1 with N=C32×C6 and Q=C6

Extensions 1→N→G→Q→1 with N=C₃²×C₆ and Q=C₆