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

Direct product G=NxQ with N=C₆ and Q=C₃²:C₆

		d	ρ	Label	ID
C₆xC₃²:C₆		36	6	C6xC3^2:C6	324,138

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆:(C₃²:C₆) = C₂xHe₃:₄S₃	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	54		C6:(C3^2:C6)	324,144

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁(C₃²:C₆) = C₃²:Dic₉	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	108		C6.1(C3^2:C6)	324,8
C₆.₂(C₃²:C₆) = C₃³:C₁₂	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	36	6-	C6.2(C3^2:C6)	324,14
C₆.₃(C₃²:C₆) = He₃.Dic₃	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	108	6-	C6.3(C3^2:C6)	324,16
C₆.₄(C₃²:C₆) = He₃.₂Dic₃	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	108	6-	C6.4(C3^2:C6)	324,18
C₆.₅(C₃²:C₆) = C₂xC₃²:D₉	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	54		C6.5(C3^2:C6)	324,63
C₆.₆(C₃²:C₆) = C₂xC₃³:C₆	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	18	6+	C6.6(C3^2:C6)	324,69
C₆.₇(C₃²:C₆) = C₂xHe₃.S₃	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	54	6+	C6.7(C3^2:C6)	324,71
C₆.₈(C₃²:C₆) = C₂xHe₃.₂S₃	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	54	6+	C6.8(C3^2:C6)	324,73
C₆.₉(C₃²:C₆) = C₃³:₄C₁₂	φ: C₃²:C₆/He₃ → C₂ ⊆ Aut C₆	108		C6.9(C3^2:C6)	324,98
C₆.₁₀(C₃²:C₆) = C₃²:C₃₆	central extension (φ=1)	36	6	C6.10(C3^2:C6)	324,7
C₆.₁₁(C₃²:C₆) = He₃:C₁₂	central extension (φ=1)	36	3	C6.11(C3^2:C6)	324,13
C₆.₁₂(C₃²:C₆) = He₃.C₁₂	central extension (φ=1)	108	3	C6.12(C3^2:C6)	324,15
C₆.₁₃(C₃²:C₆) = He₃.₂C₁₂	central extension (φ=1)	108	3	C6.13(C3^2:C6)	324,17
C₆.₁₄(C₃²:C₆) = C₂xC₃²:C₁₈	central extension (φ=1)	36	6	C6.14(C3^2:C6)	324,62
C₆.₁₅(C₃²:C₆) = C₂xC₃wrS₃	central extension (φ=1)	18	3	C6.15(C3^2:C6)	324,68
C₆.₁₆(C₃²:C₆) = C₂xHe₃.C₆	central extension (φ=1)	54	3	C6.16(C3^2:C6)	324,70
C₆.₁₇(C₃²:C₆) = C₂xHe₃.₂C₆	central extension (φ=1)	54	3	C6.17(C3^2:C6)	324,72
C₆.₁₈(C₃²:C₆) = C₃xC₃²:C₁₂	central extension (φ=1)	36	6	C6.18(C3^2:C6)	324,92

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