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Extensions 1→N→G→Q→1 with N=C33 and Q=C3xS3

Direct product G=NxQ with N=C33 and Q=C3xS3
dρLabelID
S3xC34162S3xC3^4486,256

Semidirect products G=N:Q with N=C33 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C33:1(C3xS3) = C34:C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3:1(C3xS3)486,102
C33:2(C3xS3) = C3wrC3:C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3:2(C3xS3)486,126
C33:3(C3xS3) = C34:3S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3:3(C3xS3)486,145
C33:4(C3xS3) = C33:(C3xS3)φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3:4(C3xS3)486,176
C33:5(C3xS3) = 3+ 1+4:C2φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3:5(C3xS3)486,236
C33:6(C3xS3) = 3+ 1+4:2C2φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3:6(C3xS3)486,237
C33:7(C3xS3) = C3xC3wrS3φ: C3xS3/C3 → S3 ⊆ Aut C3327C3^3:7(C3xS3)486,115
C33:8(C3xS3) = C3xC33:S3φ: C3xS3/C3 → S3 ⊆ Aut C33186C3^3:8(C3xS3)486,165
C33:9(C3xS3) = C32xC32:C6φ: C3xS3/C3 → S3 ⊆ Aut C3354C3^3:9(C3xS3)486,222
C33:10(C3xS3) = C32xHe3:C2φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3:10(C3xS3)486,230
C33:11(C3xS3) = C3xHe3:5S3φ: C3xS3/C3 → S3 ⊆ Aut C3354C3^3:11(C3xS3)486,243
C33:12(C3xS3) = C34:5C6φ: C3xS3/C3 → C6 ⊆ Aut C3327C3^3:12(C3xS3)486,167
C33:13(C3xS3) = C3xHe3:4S3φ: C3xS3/C3 → C6 ⊆ Aut C3354C3^3:13(C3xS3)486,229
C33:14(C3xS3) = C3:S3xHe3φ: C3xS3/C3 → C6 ⊆ Aut C3354C3^3:14(C3xS3)486,231
C33:15(C3xS3) = C34:10C6φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3:15(C3xS3)486,242
C33:16(C3xS3) = S3xC3wrC3φ: C3xS3/S3 → C3 ⊆ Aut C33186C3^3:16(C3xS3)486,117
C33:17(C3xS3) = C3xS3xHe3φ: C3xS3/S3 → C3 ⊆ Aut C3354C3^3:17(C3xS3)486,223
C33:18(C3xS3) = C3:S3xC33φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3:18(C3xS3)486,257
C33:19(C3xS3) = C32xC33:C2φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3:19(C3xS3)486,258
C33:20(C3xS3) = C3xC34:C2φ: C3xS3/C32 → C2 ⊆ Aut C33162C3^3:20(C3xS3)486,259

Non-split extensions G=N.Q with N=C33 and Q=C3xS3
extensionφ:Q→Aut NdρLabelID
C33.1(C3xS3) = C3.C3wrS3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.1(C3xS3)486,4
C33.2(C3xS3) = C32:C9.S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3.2(C3xS3)486,5
C33.3(C3xS3) = C32:C9:C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3.3(C3xS3)486,6
C33.4(C3xS3) = C32:C9:S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3.4(C3xS3)486,7
C33.5(C3xS3) = C3.3C3wrS3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.5(C3xS3)486,8
C33.6(C3xS3) = (C3xHe3).C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.6(C3xS3)486,9
C33.7(C3xS3) = C32:C9.C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.7(C3xS3)486,10
C33.8(C3xS3) = C33.(C3xS3)φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.8(C3xS3)486,11
C33.9(C3xS3) = C32:2D9.C3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.9(C3xS3)486,12
C33.10(C3xS3) = D9:He3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.10(C3xS3)486,106
C33.11(C3xS3) = C9:He3:C2φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.11(C3xS3)486,107
C33.12(C3xS3) = C92:7C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.12(C3xS3)486,109
C33.13(C3xS3) = C92:8C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3.13(C3xS3)486,110
C33.14(C3xS3) = (C3xHe3):C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3.14(C3xS3)486,127
C33.15(C3xS3) = He3.C3:C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3.15(C3xS3)486,128
C33.16(C3xS3) = C9:S3:C32φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3.16(C3xS3)486,129
C33.17(C3xS3) = He3.(C3xC6)φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3.17(C3xS3)486,130
C33.18(C3xS3) = He3.(C3xS3)φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3.18(C3xS3)486,131
C33.19(C3xS3) = C3wrC3.C6φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3.19(C3xS3)486,132
C33.20(C3xS3) = (C32xC9):S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.20(C3xS3)486,149
C33.21(C3xS3) = (C32xC9):8S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.21(C3xS3)486,150
C33.22(C3xS3) = C92:6S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33186C3^3.22(C3xS3)486,153
C33.23(C3xS3) = C92:5S3φ: C3xS3/C1 → C3xS3 ⊆ Aut C33546C3^3.23(C3xS3)486,156
C33.24(C3xS3) = 3- 1+4:C2φ: C3xS3/C1 → C3xS3 ⊆ Aut C332718+C3^3.24(C3xS3)486,238
C33.25(C3xS3) = 3- 1+4:2C2φ: C3xS3/C1 → C3xS3 ⊆ Aut C33279C3^3.25(C3xS3)486,239
C33.26(C3xS3) = C33:1D9φ: C3xS3/C3 → S3 ⊆ Aut C33186C3^3.26(C3xS3)486,19
C33.27(C3xS3) = (C3xC9):D9φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.27(C3xS3)486,21
C33.28(C3xS3) = (C3xC9):3D9φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.28(C3xS3)486,23
C33.29(C3xS3) = He3:C18φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3.29(C3xS3)486,24
C33.30(C3xS3) = C3xC32:D9φ: C3xS3/C3 → S3 ⊆ Aut C3354C3^3.30(C3xS3)486,94
C33.31(C3xS3) = C9xC32:C6φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.31(C3xS3)486,98
C33.32(C3xS3) = C9xC9:C6φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.32(C3xS3)486,100
C33.33(C3xS3) = C34:S3φ: C3xS3/C3 → S3 ⊆ Aut C3327C3^3.33(C3xS3)486,103
C33.34(C3xS3) = C34.S3φ: C3xS3/C3 → S3 ⊆ Aut C3327C3^3.34(C3xS3)486,105
C33.35(C3xS3) = C3xHe3.C6φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3.35(C3xS3)486,118
C33.36(C3xS3) = C3xHe3.2C6φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3.36(C3xS3)486,121
C33.37(C3xS3) = C3wrS3:3C3φ: C3xS3/C3 → S3 ⊆ Aut C33273C3^3.37(C3xS3)486,125
C33.38(C3xS3) = C3xC32:2D9φ: C3xS3/C3 → S3 ⊆ Aut C3354C3^3.38(C3xS3)486,135
C33.39(C3xS3) = C92:4S3φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.39(C3xS3)486,140
C33.40(C3xS3) = C9xHe3:C2φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3.40(C3xS3)486,143
C33.41(C3xS3) = C34.7S3φ: C3xS3/C3 → S3 ⊆ Aut C33186C3^3.41(C3xS3)486,147
C33.42(C3xS3) = C9:C9:2S3φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.42(C3xS3)486,152
C33.43(C3xS3) = C34:5S3φ: C3xS3/C3 → S3 ⊆ Aut C33186C3^3.43(C3xS3)486,166
C33.44(C3xS3) = He3.C3:S3φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.44(C3xS3)486,169
C33.45(C3xS3) = He3:C3:2S3φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.45(C3xS3)486,172
C33.46(C3xS3) = C32xC9:C6φ: C3xS3/C3 → S3 ⊆ Aut C3354C3^3.46(C3xS3)486,224
C33.47(C3xS3) = C3xHe3.4C6φ: C3xS3/C3 → S3 ⊆ Aut C3381C3^3.47(C3xS3)486,235
C33.48(C3xS3) = C9oHe3:4S3φ: C3xS3/C3 → S3 ⊆ Aut C33546C3^3.48(C3xS3)486,246
C33.49(C3xS3) = C33:1C18φ: C3xS3/C3 → C6 ⊆ Aut C33186C3^3.49(C3xS3)486,18
C33.50(C3xS3) = (C3xC9):C18φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.50(C3xS3)486,20
C33.51(C3xS3) = C9:S3:3C9φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.51(C3xS3)486,22
C33.52(C3xS3) = He3:D9φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.52(C3xS3)486,25
C33.53(C3xS3) = D9xHe3φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.53(C3xS3)486,99
C33.54(C3xS3) = D9x3- 1+2φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.54(C3xS3)486,101
C33.55(C3xS3) = C34.C6φ: C3xS3/C3 → C6 ⊆ Aut C33186C3^3.55(C3xS3)486,104
C33.56(C3xS3) = D9:3- 1+2φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.56(C3xS3)486,108
C33.57(C3xS3) = C3xC33:C6φ: C3xS3/C3 → C6 ⊆ Aut C33186C3^3.57(C3xS3)486,116
C33.58(C3xS3) = C3xHe3.S3φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.58(C3xS3)486,119
C33.59(C3xS3) = C3xHe3.2S3φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.59(C3xS3)486,122
C33.60(C3xS3) = C92:3S3φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.60(C3xS3)486,139
C33.61(C3xS3) = He3:3D9φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.61(C3xS3)486,142
C33.62(C3xS3) = C34:4C6φ: C3xS3/C3 → C6 ⊆ Aut C3327C3^3.62(C3xS3)486,146
C33.63(C3xS3) = C9:He3:2C2φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.63(C3xS3)486,148
C33.64(C3xS3) = (C32xC9):C6φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.64(C3xS3)486,151
C33.65(C3xS3) = C32:4D9:C3φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.65(C3xS3)486,170
C33.66(C3xS3) = He3:C3:3S3φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.66(C3xS3)486,173
C33.67(C3xS3) = C3wrC3.S3φ: C3xS3/C3 → C6 ⊆ Aut C33276+C3^3.67(C3xS3)486,175
C33.68(C3xS3) = C3:S3x3- 1+2φ: C3xS3/C3 → C6 ⊆ Aut C3354C3^3.68(C3xS3)486,233
C33.69(C3xS3) = C3xHe3.4S3φ: C3xS3/C3 → C6 ⊆ Aut C33546C3^3.69(C3xS3)486,234
C33.70(C3xS3) = C9oHe3:3S3φ: C3xS3/C3 → C6 ⊆ Aut C3381C3^3.70(C3xS3)486,245
C33.71(C3xS3) = S3xC32:C9φ: C3xS3/S3 → C3 ⊆ Aut C3354C3^3.71(C3xS3)486,95
C33.72(C3xS3) = C3xS3x3- 1+2φ: C3xS3/S3 → C3 ⊆ Aut C3354C3^3.72(C3xS3)486,225
C33.73(C3xS3) = C9:S3:C9φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.73(C3xS3)486,3
C33.74(C3xS3) = D9xC3xC9φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.74(C3xS3)486,91
C33.75(C3xS3) = C3xC32:C18φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.75(C3xS3)486,93
C33.76(C3xS3) = C3xC9:C18φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.76(C3xS3)486,96
C33.77(C3xS3) = C9xC9:S3φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.77(C3xS3)486,133
C33.78(C3xS3) = C33:C18φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.78(C3xS3)486,136
C33.79(C3xS3) = C33:D9φ: C3xS3/C32 → C2 ⊆ Aut C3381C3^3.79(C3xS3)486,137
C33.80(C3xS3) = C9:(S3xC9)φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.80(C3xS3)486,138
C33.81(C3xS3) = D9xC33φ: C3xS3/C32 → C2 ⊆ Aut C33162C3^3.81(C3xS3)486,220
C33.82(C3xS3) = C32xC9:S3φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.82(C3xS3)486,227
C33.83(C3xS3) = C3:S3xC3xC9φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.83(C3xS3)486,228
C33.84(C3xS3) = C3xC33.S3φ: C3xS3/C32 → C2 ⊆ Aut C3354C3^3.84(C3xS3)486,232
C33.85(C3xS3) = C3xC32:4D9φ: C3xS3/C32 → C2 ⊆ Aut C33162C3^3.85(C3xS3)486,240
C33.86(C3xS3) = C9xC33:C2φ: C3xS3/C32 → C2 ⊆ Aut C33162C3^3.86(C3xS3)486,241
C33.87(C3xS3) = C34.11S3φ: C3xS3/C32 → C2 ⊆ Aut C3381C3^3.87(C3xS3)486,244
C33.88(C3xS3) = S3xC32xC9central extension (φ=1)162C3^3.88(C3xS3)486,221

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