Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃xS₃

Direct product G=NxQ with N=C₃xC₆ and Q=C₃xS₃

		d	ρ	Label	ID
S₃xC₃²xC₆		108		S3xC3^2xC6	324,172

Semidirect products G=N:Q with N=C₃xC₆ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):₁(C₃xS₃) = C₆xC₃²:C₆	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6):1(C3xS3)	324,138
(C₃xC₆):₂(C₃xS₃) = C₆xHe₃:C₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	54		(C3xC6):2(C3xS3)	324,145
(C₃xC₆):₃(C₃xS₃) = C₂xHe₃:₄S₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	54		(C3xC6):3(C3xS3)	324,144
(C₃xC₆):₄(C₃xS₃) = C₂xS₃xHe₃	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₃xC₆	36	6	(C3xC6):4(C3xS3)	324,139
(C₃xC₆):₅(C₃xS₃) = C₃:S₃xC₃xC₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36		(C3xC6):5(C3xS3)	324,173
(C₃xC₆):₆(C₃xS₃) = C₆xC₃³:C₂	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6):6(C3xS3)	324,174

Non-split extensions G=N.Q with N=C₃xC₆ and Q=C₃xS₃

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁(C₃xS₃) = He₃:C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	36	3	(C3xC6).1(C3xS3)	324,13
(C₃xC₆).₂(C₃xS₃) = He₃.C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	108	3	(C3xC6).2(C3xS3)	324,15
(C₃xC₆).₃(C₃xS₃) = He₃.₂C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	108	3	(C3xC6).3(C3xS3)	324,17
(C₃xC₆).₄(C₃xS₃) = C₂xC₃wrS₃	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	18	3	(C3xC6).4(C3xS3)	324,68
(C₃xC₆).₅(C₃xS₃) = C₂xHe₃.C₆	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	54	3	(C3xC6).5(C3xS3)	324,70
(C₃xC₆).₆(C₃xS₃) = C₂xHe₃.₂C₆	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	54	3	(C3xC6).6(C3xS3)	324,72
(C₃xC₆).₇(C₃xS₃) = C₃xC₃²:C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).7(C3xS3)	324,92
(C₃xC₆).₈(C₃xS₃) = C₃xC₉:C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).8(C3xS3)	324,94
(C₃xC₆).₉(C₃xS₃) = C₃xHe₃:₃C₄	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	108		(C3xC6).9(C3xS3)	324,99
(C₃xC₆).₁₀(C₃xS₃) = He₃.₅C₁₂	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	108	3	(C3xC6).10(C3xS3)	324,102
(C₃xC₆).₁₁(C₃xS₃) = C₆xC₉:C₆	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).11(C3xS3)	324,140
(C₃xC₆).₁₂(C₃xS₃) = C₂xHe₃.₄C₆	φ: C₃xS₃/C₃ → S₃ ⊆ Aut C₃xC₆	54	3	(C3xC6).12(C3xS3)	324,148
(C₃xC₆).₁₃(C₃xS₃) = C₃³:C₁₂	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	36	6-	(C3xC6).13(C3xS3)	324,14
(C₃xC₆).₁₄(C₃xS₃) = He₃.Dic₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	108	6-	(C3xC6).14(C3xS3)	324,16
(C₃xC₆).₁₅(C₃xS₃) = He₃.₂Dic₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	108	6-	(C3xC6).15(C3xS3)	324,18
(C₃xC₆).₁₆(C₃xS₃) = C₂xC₃³:C₆	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	18	6+	(C3xC6).16(C3xS3)	324,69
(C₃xC₆).₁₇(C₃xS₃) = C₂xHe₃.S₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	54	6+	(C3xC6).17(C3xS3)	324,71
(C₃xC₆).₁₈(C₃xS₃) = C₂xHe₃.₂S₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	54	6+	(C3xC6).18(C3xS3)	324,73
(C₃xC₆).₁₉(C₃xS₃) = C₃³:₄C₁₂	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	108		(C3xC6).19(C3xS3)	324,98
(C₃xC₆).₂₀(C₃xS₃) = He₃.₄Dic₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	108	6-	(C3xC6).20(C3xS3)	324,101
(C₃xC₆).₂₁(C₃xS₃) = C₂xHe₃.₄S₃	φ: C₃xS₃/C₃ → C₆ ⊆ Aut C₃xC₆	54	6+	(C3xC6).21(C3xS3)	324,147
(C₃xC₆).₂₂(C₃xS₃) = Dic₃xHe₃	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).22(C3xS3)	324,93
(C₃xC₆).₂₃(C₃xS₃) = Dic₃x3_-¹⁺²	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).23(C3xS3)	324,95
(C₃xC₆).₂₄(C₃xS₃) = C₂xS₃x3_-¹⁺²	φ: C₃xS₃/S₃ → C₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).24(C3xS3)	324,141
(C₃xC₆).₂₅(C₃xS₃) = C₉xDic₉	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	2	(C3xC6).25(C3xS3)	324,6
(C₃xC₆).₂₆(C₃xS₃) = C₃²:C₃₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	6	(C3xC6).26(C3xS3)	324,7
(C₃xC₆).₂₇(C₃xS₃) = C₃²:Dic₉	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).27(C3xS3)	324,8
(C₃xC₆).₂₈(C₃xS₃) = C₉:C₃₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	6	(C3xC6).28(C3xS3)	324,9
(C₃xC₆).₂₉(C₃xS₃) = D₉xC₁₈	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	2	(C3xC6).29(C3xS3)	324,61
(C₃xC₆).₃₀(C₃xS₃) = C₂xC₃²:C₁₈	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	6	(C3xC6).30(C3xS3)	324,62
(C₃xC₆).₃₁(C₃xS₃) = C₂xC₃²:D₉	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	54		(C3xC6).31(C3xS3)	324,63
(C₃xC₆).₃₂(C₃xS₃) = C₂xC₉:C₁₈	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36	6	(C3xC6).32(C3xS3)	324,64
(C₃xC₆).₃₃(C₃xS₃) = C₃²xDic₉	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).33(C3xS3)	324,90
(C₃xC₆).₃₄(C₃xS₃) = C₃xC₉:Dic₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).34(C3xS3)	324,96
(C₃xC₆).₃₅(C₃xS₃) = C₉xC₃:Dic₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).35(C3xS3)	324,97
(C₃xC₆).₃₆(C₃xS₃) = C₃³.Dic₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).36(C3xS3)	324,100
(C₃xC₆).₃₇(C₃xS₃) = D₉xC₃xC₆	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).37(C3xS3)	324,136
(C₃xC₆).₃₈(C₃xS₃) = C₆xC₉:S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).38(C3xS3)	324,142
(C₃xC₆).₃₉(C₃xS₃) = C₁₈xC₃:S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).39(C3xS3)	324,143
(C₃xC₆).₄₀(C₃xS₃) = C₂xC₃³.S₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	54		(C3xC6).40(C3xS3)	324,146
(C₃xC₆).₄₁(C₃xS₃) = C₃²xC₃:Dic₃	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	36		(C3xC6).41(C3xS3)	324,156
(C₃xC₆).₄₂(C₃xS₃) = C₃xC₃³:₅C₄	φ: C₃xS₃/C₃² → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).42(C3xS3)	324,157
(C₃xC₆).₄₃(C₃xS₃) = Dic₃xC₃xC₉	central extension (φ=1)	108		(C3xC6).43(C3xS3)	324,91
(C₃xC₆).₄₄(C₃xS₃) = S₃xC₃xC₁₈	central extension (φ=1)	108		(C3xC6).44(C3xS3)	324,137
(C₃xC₆).₄₅(C₃xS₃) = Dic₃xC₃³	central extension (φ=1)	108		(C3xC6).45(C3xS3)	324,155

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=C3xS3

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=C₃xS₃