Extensions 1→N→G→Q→1 with N=D10 and Q=C22xS3

Direct product G=NxQ with N=D10 and Q=C22xS3
dρLabelID
S3xC23xD5120S3xC2^3xD5480,1207

Semidirect products G=N:Q with N=D10 and Q=C22xS3
extensionφ:Q→Out NdρLabelID
D10:1(C22xS3) = C2xS3xD20φ: C22xS3/D6C2 ⊆ Out D10120D10:1(C2^2xS3)480,1088
D10:2(C22xS3) = C2xC20:D6φ: C22xS3/D6C2 ⊆ Out D10120D10:2(C2^2xS3)480,1089
D10:3(C22xS3) = S3xD4xD5φ: C22xS3/D6C2 ⊆ Out D10608+D10:3(C2^2xS3)480,1097
D10:4(C22xS3) = C2xS3xC5:D4φ: C22xS3/D6C2 ⊆ Out D10120D10:4(C2^2xS3)480,1123
D10:5(C22xS3) = C2xD10:D6φ: C22xS3/D6C2 ⊆ Out D10120D10:5(C2^2xS3)480,1124
D10:6(C22xS3) = C22xC15:D4φ: C22xS3/C2xC6C2 ⊆ Out D10240D10:6(C2^2xS3)480,1118
D10:7(C22xS3) = C22xC3:D20φ: C22xS3/C2xC6C2 ⊆ Out D10240D10:7(C2^2xS3)480,1119
D10:8(C22xS3) = C2xD5xC3:D4φ: C22xS3/C2xC6C2 ⊆ Out D10120D10:8(C2^2xS3)480,1122

Non-split extensions G=N.Q with N=D10 and Q=C22xS3
extensionφ:Q→Out NdρLabelID
D10.1(C22xS3) = C2xD20:5S3φ: C22xS3/D6C2 ⊆ Out D10240D10.1(C2^2xS3)480,1074
D10.2(C22xS3) = C2xD20:S3φ: C22xS3/D6C2 ⊆ Out D10240D10.2(C2^2xS3)480,1075
D10.3(C22xS3) = D20.38D6φ: C22xS3/D6C2 ⊆ Out D102404D10.3(C2^2xS3)480,1076
D10.4(C22xS3) = D20.39D6φ: C22xS3/D6C2 ⊆ Out D102404-D10.4(C2^2xS3)480,1077
D10.5(C22xS3) = S3xC4oD20φ: C22xS3/D6C2 ⊆ Out D101204D10.5(C2^2xS3)480,1091
D10.6(C22xS3) = D20:24D6φ: C22xS3/D6C2 ⊆ Out D101204D10.6(C2^2xS3)480,1092
D10.7(C22xS3) = D20:25D6φ: C22xS3/D6C2 ⊆ Out D101204D10.7(C2^2xS3)480,1093
D10.8(C22xS3) = D20:26D6φ: C22xS3/D6C2 ⊆ Out D101204D10.8(C2^2xS3)480,1094
D10.9(C22xS3) = D20:29D6φ: C22xS3/D6C2 ⊆ Out D101204+D10.9(C2^2xS3)480,1095
D10.10(C22xS3) = C15:2- 1+4φ: C22xS3/D6C2 ⊆ Out D102408-D10.10(C2^2xS3)480,1096
D10.11(C22xS3) = D5xD4:2S3φ: C22xS3/D6C2 ⊆ Out D101208-D10.11(C2^2xS3)480,1098
D10.12(C22xS3) = S3xD4:2D5φ: C22xS3/D6C2 ⊆ Out D101208-D10.12(C2^2xS3)480,1099
D10.13(C22xS3) = D30.C23φ: C22xS3/D6C2 ⊆ Out D101208+D10.13(C2^2xS3)480,1100
D10.14(C22xS3) = D20:13D6φ: C22xS3/D6C2 ⊆ Out D101208-D10.14(C2^2xS3)480,1101
D10.15(C22xS3) = D20:14D6φ: C22xS3/D6C2 ⊆ Out D101208+D10.15(C2^2xS3)480,1102
D10.16(C22xS3) = D12:14D10φ: C22xS3/D6C2 ⊆ Out D101208+D10.16(C2^2xS3)480,1103
D10.17(C22xS3) = D20.29D6φ: C22xS3/D6C2 ⊆ Out D102408-D10.17(C2^2xS3)480,1104
D10.18(C22xS3) = S3xQ8:2D5φ: C22xS3/D6C2 ⊆ Out D101208+D10.18(C2^2xS3)480,1109
D10.19(C22xS3) = D20:16D6φ: C22xS3/D6C2 ⊆ Out D101208-D10.19(C2^2xS3)480,1110
D10.20(C22xS3) = D20:17D6φ: C22xS3/D6C2 ⊆ Out D101208+D10.20(C2^2xS3)480,1111
D10.21(C22xS3) = C2xDic5.D6φ: C22xS3/D6C2 ⊆ Out D10240D10.21(C2^2xS3)480,1113
D10.22(C22xS3) = C2xC30.C23φ: C22xS3/D6C2 ⊆ Out D10240D10.22(C2^2xS3)480,1114
D10.23(C22xS3) = C15:2+ 1+4φ: C22xS3/D6C2 ⊆ Out D101204D10.23(C2^2xS3)480,1125
D10.24(C22xS3) = F5xDic6φ: C22xS3/D6C2 ⊆ Out D101208-D10.24(C2^2xS3)480,982
D10.25(C22xS3) = C4:F5:3S3φ: C22xS3/D6C2 ⊆ Out D101208D10.25(C2^2xS3)480,983
D10.26(C22xS3) = Dic6:5F5φ: C22xS3/D6C2 ⊆ Out D101208-D10.26(C2^2xS3)480,984
D10.27(C22xS3) = (C4xS3):F5φ: C22xS3/D6C2 ⊆ Out D101208D10.27(C2^2xS3)480,985
D10.28(C22xS3) = C4xS3xF5φ: C22xS3/D6C2 ⊆ Out D10608D10.28(C2^2xS3)480,994
D10.29(C22xS3) = F5xD12φ: C22xS3/D6C2 ⊆ Out D10608+D10.29(C2^2xS3)480,995
D10.30(C22xS3) = S3xC4:F5φ: C22xS3/D6C2 ⊆ Out D10608D10.30(C2^2xS3)480,996
D10.31(C22xS3) = D60:3C4φ: C22xS3/D6C2 ⊆ Out D10608+D10.31(C2^2xS3)480,997
D10.32(C22xS3) = C2xDic3xF5φ: C22xS3/D6C2 ⊆ Out D10120D10.32(C2^2xS3)480,998
D10.33(C22xS3) = C22:F5.S3φ: C22xS3/D6C2 ⊆ Out D101208-D10.33(C2^2xS3)480,999
D10.34(C22xS3) = C2xD6:F5φ: C22xS3/D6C2 ⊆ Out D10120D10.34(C2^2xS3)480,1000
D10.35(C22xS3) = C2xDic3:F5φ: C22xS3/D6C2 ⊆ Out D10120D10.35(C2^2xS3)480,1001
D10.36(C22xS3) = F5xC3:D4φ: C22xS3/D6C2 ⊆ Out D10608D10.36(C2^2xS3)480,1010
D10.37(C22xS3) = S3xC22:F5φ: C22xS3/D6C2 ⊆ Out D10608+D10.37(C2^2xS3)480,1011
D10.38(C22xS3) = C3:D4:F5φ: C22xS3/D6C2 ⊆ Out D10608D10.38(C2^2xS3)480,1012
D10.39(C22xS3) = C22xS3xF5φ: C22xS3/D6C2 ⊆ Out D1060D10.39(C2^2xS3)480,1197
D10.40(C22xS3) = C2xD6.D10φ: C22xS3/C2xC6C2 ⊆ Out D10240D10.40(C2^2xS3)480,1083
D10.41(C22xS3) = C2xD12:5D5φ: C22xS3/C2xC6C2 ⊆ Out D10240D10.41(C2^2xS3)480,1084
D10.42(C22xS3) = C2xC12.28D10φ: C22xS3/C2xC6C2 ⊆ Out D10240D10.42(C2^2xS3)480,1085
D10.43(C22xS3) = C30.33C24φ: C22xS3/C2xC6C2 ⊆ Out D102408+D10.43(C2^2xS3)480,1105
D10.44(C22xS3) = D12.29D10φ: C22xS3/C2xC6C2 ⊆ Out D102408-D10.44(C2^2xS3)480,1106
D10.45(C22xS3) = C2xC4xC3:F5φ: C22xS3/C2xC6C2 ⊆ Out D10120D10.45(C2^2xS3)480,1063
D10.46(C22xS3) = C2xC60:C4φ: C22xS3/C2xC6C2 ⊆ Out D10120D10.46(C2^2xS3)480,1064
D10.47(C22xS3) = (C2xC12):6F5φ: C22xS3/C2xC6C2 ⊆ Out D101204D10.47(C2^2xS3)480,1065
D10.48(C22xS3) = D4xC3:F5φ: C22xS3/C2xC6C2 ⊆ Out D10608D10.48(C2^2xS3)480,1067
D10.49(C22xS3) = Q8xC3:F5φ: C22xS3/C2xC6C2 ⊆ Out D101208D10.49(C2^2xS3)480,1069
D10.50(C22xS3) = C2xD10.D6φ: C22xS3/C2xC6C2 ⊆ Out D10120D10.50(C2^2xS3)480,1072
D10.51(C22xS3) = C23xC3:F5φ: C22xS3/C2xC6C2 ⊆ Out D10120D10.51(C2^2xS3)480,1206
D10.52(C22xS3) = C2xD5xDic6φ: trivial image240D10.52(C2^2xS3)480,1073
D10.53(C22xS3) = S3xC2xC4xD5φ: trivial image120D10.53(C2^2xS3)480,1086
D10.54(C22xS3) = C2xD5xD12φ: trivial image120D10.54(C2^2xS3)480,1087
D10.55(C22xS3) = D5xC4oD12φ: trivial image1204D10.55(C2^2xS3)480,1090
D10.56(C22xS3) = S3xQ8xD5φ: trivial image1208-D10.56(C2^2xS3)480,1107
D10.57(C22xS3) = D5xQ8:3S3φ: trivial image1208+D10.57(C2^2xS3)480,1108
D10.58(C22xS3) = C22xD5xDic3φ: trivial image240D10.58(C2^2xS3)480,1112

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