Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=D₆

Direct product G=NxQ with N=C₃xC₆ and Q=D₆

		d	ρ	Label	ID
S₃xC₆²		72		S3xC6^2	216,174

Semidirect products G=N:Q with N=C₃xC₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆):D₆ = C₂xC₃²:D₆	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	18	6+	(C3xC6):D6	216,102
(C₃xC₆):₂D₆ = C₂²xC₃²:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36		(C3xC6):2D6	216,110
(C₃xC₆):₃D₆ = C₂²xHe₃:C₂	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36		(C3xC6):3D6	216,113
(C₃xC₆):₄D₆ = C₂xS₃xC₃:S₃	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36		(C3xC6):4D6	216,171
(C₃xC₆):₅D₆ = C₂xC₃²:₄D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6):5D6	216,172
(C₃xC₆):₆D₆ = S₃²xC₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6):6D6	216,170
(C₃xC₆):₇D₆ = C₂xC₆xC₃:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6):7D6	216,175
(C₃xC₆):₈D₆ = C₂²xC₃³:C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6):8D6	216,176

Non-split extensions G=N.Q with N=C₃xC₆ and Q=D₆

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₃xC₆).₁D₆ = He₃:₂Q₈	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	72	6-	(C3xC6).1D6	216,33
(C₃xC₆).₂D₆ = C₆.S₃²	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	36	6	(C3xC6).2D6	216,34
(C₃xC₆).₃D₆ = He₃:₂D₄	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	36	6+	(C3xC6).3D6	216,35
(C₃xC₆).₄D₆ = He₃:(C₂xC₄)	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	36	6-	(C3xC6).4D6	216,36
(C₃xC₆).₅D₆ = He₃:₃D₄	φ: D₆/C₁ → D₆ ⊆ Aut C₃xC₆	36	6	(C3xC6).5D6	216,37
(C₃xC₆).₆D₆ = He₃:₃Q₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72	6-	(C3xC6).6D6	216,49
(C₃xC₆).₇D₆ = C₄xC₃²:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).7D6	216,50
(C₃xC₆).₈D₆ = He₃:₄D₄	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6+	(C3xC6).8D6	216,51
(C₃xC₆).₉D₆ = C₃₆.C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72	6-	(C3xC6).9D6	216,52
(C₃xC₆).₁₀D₆ = C₄xC₉:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).10D6	216,53
(C₃xC₆).₁₁D₆ = D₃₆:C₃	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6+	(C3xC6).11D6	216,54
(C₃xC₆).₁₂D₆ = C₂xC₃²:C₁₂	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).12D6	216,59
(C₃xC₆).₁₃D₆ = He₃:₆D₄	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).13D6	216,60
(C₃xC₆).₁₄D₆ = C₂xC₉:C₁₂	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).14D6	216,61
(C₃xC₆).₁₅D₆ = Dic₉:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).15D6	216,62
(C₃xC₆).₁₆D₆ = He₃:₄Q₈	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72	6	(C3xC6).16D6	216,66
(C₃xC₆).₁₇D₆ = C₄xHe₃:C₂	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	3	(C3xC6).17D6	216,67
(C₃xC₆).₁₈D₆ = He₃:₅D₄	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).18D6	216,68
(C₃xC₆).₁₉D₆ = C₂xHe₃:₃C₄	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	72		(C3xC6).19D6	216,71
(C₃xC₆).₂₀D₆ = He₃:₇D₄	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36	6	(C3xC6).20D6	216,72
(C₃xC₆).₂₁D₆ = C₂²xC₉:C₆	φ: D₆/C₂ → S₃ ⊆ Aut C₃xC₆	36		(C3xC6).21D6	216,111
(C₃xC₆).₂₂D₆ = C₉:Dic₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72	4-	(C3xC6).22D6	216,26
(C₃xC₆).₂₃D₆ = Dic₃xD₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72	4-	(C3xC6).23D6	216,27
(C₃xC₆).₂₄D₆ = C₁₈.D₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36	4+	(C3xC6).24D6	216,28
(C₃xC₆).₂₅D₆ = C₃:D₃₆	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36	4+	(C3xC6).25D6	216,29
(C₃xC₆).₂₆D₆ = S₃xDic₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72	4-	(C3xC6).26D6	216,30
(C₃xC₆).₂₇D₆ = D₆:D₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72	4-	(C3xC6).27D6	216,31
(C₃xC₆).₂₈D₆ = C₉:D₁₂	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36	4+	(C3xC6).28D6	216,32
(C₃xC₆).₂₉D₆ = C₂xS₃xD₉	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36	4+	(C3xC6).29D6	216,101
(C₃xC₆).₃₀D₆ = C₃³:₈(C₂xC₄)	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36		(C3xC6).30D6	216,126
(C₃xC₆).₃₁D₆ = C₃³:₆D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).31D6	216,127
(C₃xC₆).₃₂D₆ = C₃³:₇D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36		(C3xC6).32D6	216,128
(C₃xC₆).₃₃D₆ = C₃³:₈D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	36		(C3xC6).33D6	216,129
(C₃xC₆).₃₄D₆ = C₃³:₄Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	72		(C3xC6).34D6	216,130
(C₃xC₆).₃₅D₆ = C₃³:₉(C₂xC₄)	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).35D6	216,131
(C₃xC₆).₃₆D₆ = C₃³:₉D₄	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).36D6	216,132
(C₃xC₆).₃₇D₆ = C₃³:₅Q₈	φ: D₆/C₃ → C₂² ⊆ Aut C₃xC₆	24	4	(C3xC6).37D6	216,133
(C₃xC₆).₃₈D₆ = C₃xS₃xDic₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).38D6	216,119
(C₃xC₆).₃₉D₆ = C₃xC₆.D₆	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).39D6	216,120
(C₃xC₆).₄₀D₆ = C₃xD₆:S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).40D6	216,121
(C₃xC₆).₄₁D₆ = C₃xC₃:D₁₂	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).41D6	216,122
(C₃xC₆).₄₂D₆ = C₃xC₃²:₂Q₈	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	24	4	(C3xC6).42D6	216,123
(C₃xC₆).₄₃D₆ = S₃xC₃:Dic₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).43D6	216,124
(C₃xC₆).₄₄D₆ = Dic₃xC₃:S₃	φ: D₆/S₃ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).44D6	216,125
(C₃xC₆).₄₅D₆ = C₃xDic₁₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).45D6	216,43
(C₃xC₆).₄₆D₆ = C₁₂xD₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).46D6	216,45
(C₃xC₆).₄₇D₆ = C₃xD₃₆	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72	2	(C3xC6).47D6	216,46
(C₃xC₆).₄₈D₆ = C₆xDic₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).48D6	216,55
(C₃xC₆).₄₉D₆ = C₃xC₉:D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	36	2	(C3xC6).49D6	216,57
(C₃xC₆).₅₀D₆ = C₁₂.D₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).50D6	216,63
(C₃xC₆).₅₁D₆ = C₄xC₉:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).51D6	216,64
(C₃xC₆).₅₂D₆ = C₃₆:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).52D6	216,65
(C₃xC₆).₅₃D₆ = C₂xC₉:Dic₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).53D6	216,69
(C₃xC₆).₅₄D₆ = C₆.D₁₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).54D6	216,70
(C₃xC₆).₅₅D₆ = C₂xC₆xD₉	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).55D6	216,108
(C₃xC₆).₅₆D₆ = C₂²xC₉:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).56D6	216,112
(C₃xC₆).₅₇D₆ = C₃xC₃²:₄Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).57D6	216,140
(C₃xC₆).₅₈D₆ = C₁₂xC₃:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).58D6	216,141
(C₃xC₆).₅₉D₆ = C₃xC₁₂:S₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).59D6	216,142
(C₃xC₆).₆₀D₆ = C₆xC₃:Dic₃	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	72		(C3xC6).60D6	216,143
(C₃xC₆).₆₁D₆ = C₃xC₃²:₇D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	36		(C3xC6).61D6	216,144
(C₃xC₆).₆₂D₆ = C₃³:₈Q₈	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).62D6	216,145
(C₃xC₆).₆₃D₆ = C₄xC₃³:C₂	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).63D6	216,146
(C₃xC₆).₆₄D₆ = C₃³:₁₂D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).64D6	216,147
(C₃xC₆).₆₅D₆ = C₂xC₃³:₅C₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	216		(C3xC6).65D6	216,148
(C₃xC₆).₆₆D₆ = C₃³:₁₅D₄	φ: D₆/C₆ → C₂ ⊆ Aut C₃xC₆	108		(C3xC6).66D6	216,149
(C₃xC₆).₆₇D₆ = C₃²xDic₆	central extension (φ=1)	72		(C3xC6).67D6	216,135
(C₃xC₆).₆₈D₆ = S₃xC₃xC₁₂	central extension (φ=1)	72		(C3xC6).68D6	216,136
(C₃xC₆).₆₉D₆ = C₃²xD₁₂	central extension (φ=1)	72		(C3xC6).69D6	216,137
(C₃xC₆).₇₀D₆ = Dic₃xC₃xC₆	central extension (φ=1)	72		(C3xC6).70D6	216,138
(C₃xC₆).₇₁D₆ = C₃²xC₃:D₄	central extension (φ=1)	36		(C3xC6).71D6	216,139

Extensions 1→N→G→Q→1 with N=C3xC6 and Q=D6

Extensions 1→N→G→Q→1 with N=C₃xC₆ and Q=D₆