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Extensions 1→N→G→Q→1 with N=C32xC9 and Q=S3

Direct product G=NxQ with N=C32xC9 and Q=S3
dρLabelID
S3xC32xC9162S3xC3^2xC9486,221

Semidirect products G=N:Q with N=C32xC9 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C32xC9):1S3 = He3:C18φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):1S3486,24
(C32xC9):2S3 = C3xC32:C18φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9):2S3486,93
(C32xC9):3S3 = C9xC32:C6φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):3S3486,98
(C32xC9):4S3 = C3xHe3.C6φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):4S3486,118
(C32xC9):5S3 = C3xHe3.2C6φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):5S3486,121
(C32xC9):6S3 = C33:C18φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9):6S3486,136
(C32xC9):7S3 = C9xHe3:C2φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):7S3486,143
(C32xC9):8S3 = (C32xC9):8S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):8S3486,150
(C32xC9):9S3 = He3.C3:S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):9S3486,169
(C32xC9):10S3 = He3:C3:2S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):10S3486,172
(C32xC9):11S3 = He3:2D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):11S3486,56
(C32xC9):12S3 = C3xC32:2D9φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9):12S3486,135
(C32xC9):13S3 = He3:3D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):13S3486,142
(C32xC9):14S3 = (C32xC9):S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):14S3486,149
(C32xC9):15S3 = C3xHe3.3S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):15S3486,168
(C32xC9):16S3 = C3xHe3:S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):16S3486,171
(C32xC9):17S3 = C33:6D9φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9):17S3486,181
(C32xC9):18S3 = He3:4D9φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):18S3486,182
(C32xC9):19S3 = He3.(C3:S3)φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):19S3486,186
(C32xC9):20S3 = C3:(He3:S3)φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):20S3486,187
(C32xC9):21S3 = C3wrC3:S3φ: S3/C1 → S3 ⊆ Aut C32xC9276+(C3^2xC9):21S3486,189
(C32xC9):22S3 = C3xHe3.4S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):22S3486,234
(C32xC9):23S3 = C9oHe3:3S3φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):23S3486,245
(C32xC9):24S3 = C3wrS3:3C3φ: S3/C1 → S3 ⊆ Aut C32xC9273(C3^2xC9):24S3486,125
(C32xC9):25S3 = C3xHe3.4C6φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9):25S3486,235
(C32xC9):26S3 = C9oHe3:4S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9):26S3486,246
(C32xC9):27S3 = C3:S3xC3xC9φ: S3/C3 → C2 ⊆ Aut C32xC954(C3^2xC9):27S3486,228
(C32xC9):28S3 = C9xC33:C2φ: S3/C3 → C2 ⊆ Aut C32xC9162(C3^2xC9):28S3486,241
(C32xC9):29S3 = C32xC9:S3φ: S3/C3 → C2 ⊆ Aut C32xC954(C3^2xC9):29S3486,227
(C32xC9):30S3 = C3xC32:4D9φ: S3/C3 → C2 ⊆ Aut C32xC9162(C3^2xC9):30S3486,240
(C32xC9):31S3 = C33:9D9φ: S3/C3 → C2 ⊆ Aut C32xC9243(C3^2xC9):31S3486,247

Non-split extensions G=N.Q with N=C32xC9 and Q=S3
extensionφ:Q→Aut NdρLabelID
(C32xC9).1S3 = C9:S3:C9φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9).1S3486,3
(C32xC9).2S3 = (C3xC9):D9φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).2S3486,21
(C32xC9).3S3 = (C3xC9):3D9φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).3S3486,23
(C32xC9).4S3 = C3xC9:C18φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9).4S3486,96
(C32xC9).5S3 = C9xC9:C6φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).5S3486,100
(C32xC9).6S3 = C9:(S3xC9)φ: S3/C1 → S3 ⊆ Aut C32xC954(C3^2xC9).6S3486,138
(C32xC9).7S3 = C9:C9:2S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).7S3486,152
(C32xC9).8S3 = C32:D27φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).8S3486,17
(C32xC9).9S3 = C3.2(C9:D9)φ: S3/C1 → S3 ⊆ Aut C32xC9162(C3^2xC9).9S3486,42
(C32xC9).10S3 = C32:2D27φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).10S3486,51
(C32xC9).11S3 = (C3xC9):5D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).11S3486,53
(C32xC9).12S3 = (C3xC9):6D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).12S3486,54
(C32xC9).13S3 = 3- 1+2:D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).13S3486,57
(C32xC9).14S3 = C92:9C6φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).14S3486,144
(C32xC9).15S3 = C3x3- 1+2.S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).15S3486,174
(C32xC9).16S3 = (C32xC9).S3φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).16S3486,188
(C32xC9).17S3 = C33.D9φ: S3/C1 → S3 ⊆ Aut C32xC9276+(C3^2xC9).17S3486,55
(C32xC9).18S3 = C3xC27:C6φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).18S3486,113
(C32xC9).19S3 = C92:3C6φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).19S3486,141
(C32xC9).20S3 = C33.5D9φ: S3/C1 → S3 ⊆ Aut C32xC981(C3^2xC9).20S3486,162
(C32xC9).21S3 = C92:4S3φ: S3/C1 → S3 ⊆ Aut C32xC9546(C3^2xC9).21S3486,140
(C32xC9).22S3 = D9xC3xC9φ: S3/C3 → C2 ⊆ Aut C32xC954(C3^2xC9).22S3486,91
(C32xC9).23S3 = C9xC9:S3φ: S3/C3 → C2 ⊆ Aut C32xC954(C3^2xC9).23S3486,133
(C32xC9).24S3 = C32xD27φ: S3/C3 → C2 ⊆ Aut C32xC9162(C3^2xC9).24S3486,111
(C32xC9).25S3 = C3xC9:D9φ: S3/C3 → C2 ⊆ Aut C32xC9162(C3^2xC9).25S3486,134
(C32xC9).26S3 = C3xC27:S3φ: S3/C3 → C2 ⊆ Aut C32xC9162(C3^2xC9).26S3486,160
(C32xC9).27S3 = C92:8S3φ: S3/C3 → C2 ⊆ Aut C32xC9243(C3^2xC9).27S3486,180
(C32xC9).28S3 = C32:4D27φ: S3/C3 → C2 ⊆ Aut C32xC9243(C3^2xC9).28S3486,184

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