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Extensions 1→N→G→Q→1 with N=C2 and Q=C22xS3xD5

Direct product G=NxQ with N=C2 and Q=C22xS3xD5
dρLabelID
S3xC23xD5120S3xC2^3xD5480,1207


Non-split extensions G=N.Q with N=C2 and Q=C22xS3xD5
extensionφ:Q→Aut NdρLabelID
C2.1(C22xS3xD5) = S3xC2xC4xD5central extension (φ=1)120C2.1(C2^2xS3xD5)480,1086
C2.2(C22xS3xD5) = C22xD5xDic3central extension (φ=1)240C2.2(C2^2xS3xD5)480,1112
C2.3(C22xS3xD5) = C22xS3xDic5central extension (φ=1)240C2.3(C2^2xS3xD5)480,1115
C2.4(C22xS3xD5) = C22xD30.C2central extension (φ=1)240C2.4(C2^2xS3xD5)480,1117
C2.5(C22xS3xD5) = C2xD5xDic6central stem extension (φ=1)240C2.5(C2^2xS3xD5)480,1073
C2.6(C22xS3xD5) = C2xD20:5S3central stem extension (φ=1)240C2.6(C2^2xS3xD5)480,1074
C2.7(C22xS3xD5) = C2xD20:S3central stem extension (φ=1)240C2.7(C2^2xS3xD5)480,1075
C2.8(C22xS3xD5) = D20.38D6central stem extension (φ=1)2404C2.8(C2^2xS3xD5)480,1076
C2.9(C22xS3xD5) = D20.39D6central stem extension (φ=1)2404-C2.9(C2^2xS3xD5)480,1077
C2.10(C22xS3xD5) = C2xS3xDic10central stem extension (φ=1)240C2.10(C2^2xS3xD5)480,1078
C2.11(C22xS3xD5) = C2xD12:D5central stem extension (φ=1)240C2.11(C2^2xS3xD5)480,1079
C2.12(C22xS3xD5) = C30.C24central stem extension (φ=1)2404C2.12(C2^2xS3xD5)480,1080
C2.13(C22xS3xD5) = C2xD60:C2central stem extension (φ=1)240C2.13(C2^2xS3xD5)480,1081
C2.14(C22xS3xD5) = C2xD15:Q8central stem extension (φ=1)240C2.14(C2^2xS3xD5)480,1082
C2.15(C22xS3xD5) = C2xD6.D10central stem extension (φ=1)240C2.15(C2^2xS3xD5)480,1083
C2.16(C22xS3xD5) = C2xD12:5D5central stem extension (φ=1)240C2.16(C2^2xS3xD5)480,1084
C2.17(C22xS3xD5) = C2xC12.28D10central stem extension (φ=1)240C2.17(C2^2xS3xD5)480,1085
C2.18(C22xS3xD5) = C2xD5xD12central stem extension (φ=1)120C2.18(C2^2xS3xD5)480,1087
C2.19(C22xS3xD5) = C2xS3xD20central stem extension (φ=1)120C2.19(C2^2xS3xD5)480,1088
C2.20(C22xS3xD5) = C2xC20:D6central stem extension (φ=1)120C2.20(C2^2xS3xD5)480,1089
C2.21(C22xS3xD5) = D5xC4oD12central stem extension (φ=1)1204C2.21(C2^2xS3xD5)480,1090
C2.22(C22xS3xD5) = S3xC4oD20central stem extension (φ=1)1204C2.22(C2^2xS3xD5)480,1091
C2.23(C22xS3xD5) = D20:24D6central stem extension (φ=1)1204C2.23(C2^2xS3xD5)480,1092
C2.24(C22xS3xD5) = D20:25D6central stem extension (φ=1)1204C2.24(C2^2xS3xD5)480,1093
C2.25(C22xS3xD5) = D20:26D6central stem extension (φ=1)1204C2.25(C2^2xS3xD5)480,1094
C2.26(C22xS3xD5) = D20:29D6central stem extension (φ=1)1204+C2.26(C2^2xS3xD5)480,1095
C2.27(C22xS3xD5) = C15:2- 1+4central stem extension (φ=1)2408-C2.27(C2^2xS3xD5)480,1096
C2.28(C22xS3xD5) = S3xD4xD5central stem extension (φ=1)608+C2.28(C2^2xS3xD5)480,1097
C2.29(C22xS3xD5) = D5xD4:2S3central stem extension (φ=1)1208-C2.29(C2^2xS3xD5)480,1098
C2.30(C22xS3xD5) = S3xD4:2D5central stem extension (φ=1)1208-C2.30(C2^2xS3xD5)480,1099
C2.31(C22xS3xD5) = D30.C23central stem extension (φ=1)1208+C2.31(C2^2xS3xD5)480,1100
C2.32(C22xS3xD5) = D20:13D6central stem extension (φ=1)1208-C2.32(C2^2xS3xD5)480,1101
C2.33(C22xS3xD5) = D20:14D6central stem extension (φ=1)1208+C2.33(C2^2xS3xD5)480,1102
C2.34(C22xS3xD5) = D12:14D10central stem extension (φ=1)1208+C2.34(C2^2xS3xD5)480,1103
C2.35(C22xS3xD5) = D20.29D6central stem extension (φ=1)2408-C2.35(C2^2xS3xD5)480,1104
C2.36(C22xS3xD5) = C30.33C24central stem extension (φ=1)2408+C2.36(C2^2xS3xD5)480,1105
C2.37(C22xS3xD5) = D12.29D10central stem extension (φ=1)2408-C2.37(C2^2xS3xD5)480,1106
C2.38(C22xS3xD5) = S3xQ8xD5central stem extension (φ=1)1208-C2.38(C2^2xS3xD5)480,1107
C2.39(C22xS3xD5) = D5xQ8:3S3central stem extension (φ=1)1208+C2.39(C2^2xS3xD5)480,1108
C2.40(C22xS3xD5) = S3xQ8:2D5central stem extension (φ=1)1208+C2.40(C2^2xS3xD5)480,1109
C2.41(C22xS3xD5) = D20:16D6central stem extension (φ=1)1208-C2.41(C2^2xS3xD5)480,1110
C2.42(C22xS3xD5) = D20:17D6central stem extension (φ=1)1208+C2.42(C2^2xS3xD5)480,1111
C2.43(C22xS3xD5) = C2xDic5.D6central stem extension (φ=1)240C2.43(C2^2xS3xD5)480,1113
C2.44(C22xS3xD5) = C2xC30.C23central stem extension (φ=1)240C2.44(C2^2xS3xD5)480,1114
C2.45(C22xS3xD5) = C2xDic3.D10central stem extension (φ=1)240C2.45(C2^2xS3xD5)480,1116
C2.46(C22xS3xD5) = C22xC15:D4central stem extension (φ=1)240C2.46(C2^2xS3xD5)480,1118
C2.47(C22xS3xD5) = C22xC3:D20central stem extension (φ=1)240C2.47(C2^2xS3xD5)480,1119
C2.48(C22xS3xD5) = C22xC5:D12central stem extension (φ=1)240C2.48(C2^2xS3xD5)480,1120
C2.49(C22xS3xD5) = C22xC15:Q8central stem extension (φ=1)480C2.49(C2^2xS3xD5)480,1121
C2.50(C22xS3xD5) = C2xD5xC3:D4central stem extension (φ=1)120C2.50(C2^2xS3xD5)480,1122
C2.51(C22xS3xD5) = C2xS3xC5:D4central stem extension (φ=1)120C2.51(C2^2xS3xD5)480,1123
C2.52(C22xS3xD5) = C2xD10:D6central stem extension (φ=1)120C2.52(C2^2xS3xD5)480,1124
C2.53(C22xS3xD5) = C15:2+ 1+4central stem extension (φ=1)1204C2.53(C2^2xS3xD5)480,1125

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