Extensions 1→N→G→Q→1 with N=C10 and Q=C22xS3

Direct product G=NxQ with N=C10 and Q=C22xS3
dρLabelID
S3xC22xC10120S3xC2^2xC10240,206

Semidirect products G=N:Q with N=C10 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C10:1(C22xS3) = C22xS3xD5φ: C22xS3/D6C2 ⊆ Aut C1060C10:1(C2^2xS3)240,202
C10:2(C22xS3) = C23xD15φ: C22xS3/C2xC6C2 ⊆ Aut C10120C10:2(C2^2xS3)240,207

Non-split extensions G=N.Q with N=C10 and Q=C22xS3
extensionφ:Q→Aut NdρLabelID
C10.1(C22xS3) = D5xDic6φ: C22xS3/D6C2 ⊆ Aut C101204-C10.1(C2^2xS3)240,125
C10.2(C22xS3) = D20:5S3φ: C22xS3/D6C2 ⊆ Aut C101204-C10.2(C2^2xS3)240,126
C10.3(C22xS3) = D20:S3φ: C22xS3/D6C2 ⊆ Aut C101204C10.3(C2^2xS3)240,127
C10.4(C22xS3) = S3xDic10φ: C22xS3/D6C2 ⊆ Aut C101204-C10.4(C2^2xS3)240,128
C10.5(C22xS3) = D12:D5φ: C22xS3/D6C2 ⊆ Aut C101204C10.5(C2^2xS3)240,129
C10.6(C22xS3) = D60:C2φ: C22xS3/D6C2 ⊆ Aut C101204+C10.6(C2^2xS3)240,130
C10.7(C22xS3) = D15:Q8φ: C22xS3/D6C2 ⊆ Aut C101204C10.7(C2^2xS3)240,131
C10.8(C22xS3) = D6.D10φ: C22xS3/D6C2 ⊆ Aut C101204C10.8(C2^2xS3)240,132
C10.9(C22xS3) = D12:5D5φ: C22xS3/D6C2 ⊆ Aut C101204-C10.9(C2^2xS3)240,133
C10.10(C22xS3) = C12.28D10φ: C22xS3/D6C2 ⊆ Aut C101204+C10.10(C2^2xS3)240,134
C10.11(C22xS3) = C4xS3xD5φ: C22xS3/D6C2 ⊆ Aut C10604C10.11(C2^2xS3)240,135
C10.12(C22xS3) = D5xD12φ: C22xS3/D6C2 ⊆ Aut C10604+C10.12(C2^2xS3)240,136
C10.13(C22xS3) = S3xD20φ: C22xS3/D6C2 ⊆ Aut C10604+C10.13(C2^2xS3)240,137
C10.14(C22xS3) = C20:D6φ: C22xS3/D6C2 ⊆ Aut C10604C10.14(C2^2xS3)240,138
C10.15(C22xS3) = C2xD5xDic3φ: C22xS3/D6C2 ⊆ Aut C10120C10.15(C2^2xS3)240,139
C10.16(C22xS3) = Dic5.D6φ: C22xS3/D6C2 ⊆ Aut C101204C10.16(C2^2xS3)240,140
C10.17(C22xS3) = C30.C23φ: C22xS3/D6C2 ⊆ Aut C101204-C10.17(C2^2xS3)240,141
C10.18(C22xS3) = C2xS3xDic5φ: C22xS3/D6C2 ⊆ Aut C10120C10.18(C2^2xS3)240,142
C10.19(C22xS3) = Dic3.D10φ: C22xS3/D6C2 ⊆ Aut C101204C10.19(C2^2xS3)240,143
C10.20(C22xS3) = C2xD30.C2φ: C22xS3/D6C2 ⊆ Aut C10120C10.20(C2^2xS3)240,144
C10.21(C22xS3) = C2xC15:D4φ: C22xS3/D6C2 ⊆ Aut C10120C10.21(C2^2xS3)240,145
C10.22(C22xS3) = C2xC3:D20φ: C22xS3/D6C2 ⊆ Aut C10120C10.22(C2^2xS3)240,146
C10.23(C22xS3) = C2xC5:D12φ: C22xS3/D6C2 ⊆ Aut C10120C10.23(C2^2xS3)240,147
C10.24(C22xS3) = C2xC15:Q8φ: C22xS3/D6C2 ⊆ Aut C10240C10.24(C2^2xS3)240,148
C10.25(C22xS3) = D5xC3:D4φ: C22xS3/D6C2 ⊆ Aut C10604C10.25(C2^2xS3)240,149
C10.26(C22xS3) = S3xC5:D4φ: C22xS3/D6C2 ⊆ Aut C10604C10.26(C2^2xS3)240,150
C10.27(C22xS3) = D10:D6φ: C22xS3/D6C2 ⊆ Aut C10604+C10.27(C2^2xS3)240,151
C10.28(C22xS3) = C2xDic30φ: C22xS3/C2xC6C2 ⊆ Aut C10240C10.28(C2^2xS3)240,175
C10.29(C22xS3) = C2xC4xD15φ: C22xS3/C2xC6C2 ⊆ Aut C10120C10.29(C2^2xS3)240,176
C10.30(C22xS3) = C2xD60φ: C22xS3/C2xC6C2 ⊆ Aut C10120C10.30(C2^2xS3)240,177
C10.31(C22xS3) = D60:11C2φ: C22xS3/C2xC6C2 ⊆ Aut C101202C10.31(C2^2xS3)240,178
C10.32(C22xS3) = D4xD15φ: C22xS3/C2xC6C2 ⊆ Aut C10604+C10.32(C2^2xS3)240,179
C10.33(C22xS3) = D4:2D15φ: C22xS3/C2xC6C2 ⊆ Aut C101204-C10.33(C2^2xS3)240,180
C10.34(C22xS3) = Q8xD15φ: C22xS3/C2xC6C2 ⊆ Aut C101204-C10.34(C2^2xS3)240,181
C10.35(C22xS3) = Q8:3D15φ: C22xS3/C2xC6C2 ⊆ Aut C101204+C10.35(C2^2xS3)240,182
C10.36(C22xS3) = C22xDic15φ: C22xS3/C2xC6C2 ⊆ Aut C10240C10.36(C2^2xS3)240,183
C10.37(C22xS3) = C2xC15:7D4φ: C22xS3/C2xC6C2 ⊆ Aut C10120C10.37(C2^2xS3)240,184
C10.38(C22xS3) = C10xDic6central extension (φ=1)240C10.38(C2^2xS3)240,165
C10.39(C22xS3) = S3xC2xC20central extension (φ=1)120C10.39(C2^2xS3)240,166
C10.40(C22xS3) = C10xD12central extension (φ=1)120C10.40(C2^2xS3)240,167
C10.41(C22xS3) = C5xC4oD12central extension (φ=1)1202C10.41(C2^2xS3)240,168
C10.42(C22xS3) = C5xS3xD4central extension (φ=1)604C10.42(C2^2xS3)240,169
C10.43(C22xS3) = C5xD4:2S3central extension (φ=1)1204C10.43(C2^2xS3)240,170
C10.44(C22xS3) = C5xS3xQ8central extension (φ=1)1204C10.44(C2^2xS3)240,171
C10.45(C22xS3) = C5xQ8:3S3central extension (φ=1)1204C10.45(C2^2xS3)240,172
C10.46(C22xS3) = Dic3xC2xC10central extension (φ=1)240C10.46(C2^2xS3)240,173
C10.47(C22xS3) = C10xC3:D4central extension (φ=1)120C10.47(C2^2xS3)240,174

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