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Extensions 1→N→G→Q→1 with N=C2 and Q=C22.53C24

Direct product G=N×Q with N=C2 and Q=C22.53C24
dρLabelID
C2×C22.53C2464C2xC2^2.53C2^4128,2211


Non-split extensions G=N.Q with N=C2 and Q=C22.53C24
extensionφ:Q→Aut NdρLabelID
C2.1(C22.53C24) = C23.237C24central extension (φ=1)128C2.1(C2^2.53C2^4)128,1087
C2.2(C22.53C24) = C24.212C23central extension (φ=1)64C2.2(C2^2.53C2^4)128,1089
C2.3(C22.53C24) = C24.219C23central extension (φ=1)64C2.3(C2^2.53C2^4)128,1098
C2.4(C22.53C24) = C24.220C23central extension (φ=1)64C2.4(C2^2.53C2^4)128,1099
C2.5(C22.53C24) = C24.223C23central extension (φ=1)64C2.5(C2^2.53C2^4)128,1106
C2.6(C22.53C24) = C23.345C24central stem extension (φ=1)64C2.6(C2^2.53C2^4)128,1177
C2.7(C22.53C24) = C24.271C23central stem extension (φ=1)64C2.7(C2^2.53C2^4)128,1179
C2.8(C22.53C24) = C23.348C24central stem extension (φ=1)64C2.8(C2^2.53C2^4)128,1180
C2.9(C22.53C24) = C24.276C23central stem extension (φ=1)64C2.9(C2^2.53C2^4)128,1187
C2.10(C22.53C24) = C24.279C23central stem extension (φ=1)64C2.10(C2^2.53C2^4)128,1190
C2.11(C22.53C24) = C23.359C24central stem extension (φ=1)64C2.11(C2^2.53C2^4)128,1191
C2.12(C22.53C24) = C23.411C24central stem extension (φ=1)128C2.12(C2^2.53C2^4)128,1243
C2.13(C22.53C24) = C23.413C24central stem extension (φ=1)64C2.13(C2^2.53C2^4)128,1245
C2.14(C22.53C24) = C23.416C24central stem extension (φ=1)64C2.14(C2^2.53C2^4)128,1248
C2.15(C22.53C24) = C23.417C24central stem extension (φ=1)64C2.15(C2^2.53C2^4)128,1249
C2.16(C22.53C24) = C42⋊21D4central stem extension (φ=1)64C2.16(C2^2.53C2^4)128,1276
C2.17(C22.53C24) = C42.171D4central stem extension (φ=1)64C2.17(C2^2.53C2^4)128,1280
C2.18(C22.53C24) = C23.457C24central stem extension (φ=1)64C2.18(C2^2.53C2^4)128,1289
C2.19(C22.53C24) = C42.36Q8central stem extension (φ=1)128C2.19(C2^2.53C2^4)128,1302
C2.20(C22.53C24) = C42.37Q8central stem extension (φ=1)128C2.20(C2^2.53C2^4)128,1303
C2.21(C22.53C24) = C24.339C23central stem extension (φ=1)64C2.21(C2^2.53C2^4)128,1307
C2.22(C22.53C24) = C42.178D4central stem extension (φ=1)64C2.22(C2^2.53C2^4)128,1312
C2.23(C22.53C24) = C42.180D4central stem extension (φ=1)128C2.23(C2^2.53C2^4)128,1314
C2.24(C22.53C24) = C24.346C23central stem extension (φ=1)64C2.24(C2^2.53C2^4)128,1321
C2.25(C22.53C24) = C42.182D4central stem extension (φ=1)64C2.25(C2^2.53C2^4)128,1324
C2.26(C22.53C24) = C23.493C24central stem extension (φ=1)64C2.26(C2^2.53C2^4)128,1325
C2.27(C22.53C24) = C24.347C23central stem extension (φ=1)64C2.27(C2^2.53C2^4)128,1327
C2.28(C22.53C24) = C23.496C24central stem extension (φ=1)64C2.28(C2^2.53C2^4)128,1328
C2.29(C22.53C24) = C24.348C23central stem extension (φ=1)64C2.29(C2^2.53C2^4)128,1329
C2.30(C22.53C24) = C23.500C24central stem extension (φ=1)64C2.30(C2^2.53C2^4)128,1332
C2.31(C22.53C24) = C23.502C24central stem extension (φ=1)64C2.31(C2^2.53C2^4)128,1334
C2.32(C22.53C24) = C24.355C23central stem extension (φ=1)64C2.32(C2^2.53C2^4)128,1339
C2.33(C22.53C24) = C24.411C23central stem extension (φ=1)64C2.33(C2^2.53C2^4)128,1441
C2.34(C22.53C24) = C24.412C23central stem extension (φ=1)64C2.34(C2^2.53C2^4)128,1442
C2.35(C22.53C24) = C23.612C24central stem extension (φ=1)64C2.35(C2^2.53C2^4)128,1444
C2.36(C22.53C24) = C23.624C24central stem extension (φ=1)64C2.36(C2^2.53C2^4)128,1456
C2.37(C22.53C24) = C23.651C24central stem extension (φ=1)64C2.37(C2^2.53C2^4)128,1483
C2.38(C22.53C24) = C23.652C24central stem extension (φ=1)64C2.38(C2^2.53C2^4)128,1484
C2.39(C22.53C24) = C23.654C24central stem extension (φ=1)64C2.39(C2^2.53C2^4)128,1486
C2.40(C22.53C24) = C23.671C24central stem extension (φ=1)64C2.40(C2^2.53C2^4)128,1503
C2.41(C22.53C24) = C23.673C24central stem extension (φ=1)64C2.41(C2^2.53C2^4)128,1505
C2.42(C22.53C24) = C23.694C24central stem extension (φ=1)128C2.42(C2^2.53C2^4)128,1526
C2.43(C22.53C24) = C23.696C24central stem extension (φ=1)64C2.43(C2^2.53C2^4)128,1528
C2.44(C22.53C24) = C23.697C24central stem extension (φ=1)64C2.44(C2^2.53C2^4)128,1529
C2.45(C22.53C24) = C23.698C24central stem extension (φ=1)64C2.45(C2^2.53C2^4)128,1530
C2.46(C22.53C24) = C23.703C24central stem extension (φ=1)64C2.46(C2^2.53C2^4)128,1535
C2.47(C22.53C24) = C24.456C23central stem extension (φ=1)64C2.47(C2^2.53C2^4)128,1536
C2.48(C22.53C24) = C23.707C24central stem extension (φ=1)64C2.48(C2^2.53C2^4)128,1539
C2.49(C22.53C24) = C23.708C24central stem extension (φ=1)64C2.49(C2^2.53C2^4)128,1540

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