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Extensions 1→N→G→Q→1 with N=C2 and Q=D5xC22xC4

Direct product G=NxQ with N=C2 and Q=D5xC22xC4
dρLabelID
D5xC23xC4160D5xC2^3xC4320,1609


Non-split extensions G=N.Q with N=C2 and Q=D5xC22xC4
extensionφ:Q→Aut NdρLabelID
C2.1(D5xC22xC4) = D5xC2xC42central extension (φ=1)160C2.1(D5xC2^2xC4)320,1143
C2.2(D5xC22xC4) = D5xC22xC8central extension (φ=1)160C2.2(D5xC2^2xC4)320,1408
C2.3(D5xC22xC4) = C22xC4xDic5central extension (φ=1)320C2.3(D5xC2^2xC4)320,1454
C2.4(D5xC22xC4) = C2xC4xDic10central stem extension (φ=1)320C2.4(D5xC2^2xC4)320,1139
C2.5(D5xC22xC4) = C2xC42:D5central stem extension (φ=1)160C2.5(D5xC2^2xC4)320,1144
C2.6(D5xC22xC4) = C2xC4xD20central stem extension (φ=1)160C2.6(D5xC2^2xC4)320,1145
C2.7(D5xC22xC4) = C4xC4oD20central stem extension (φ=1)160C2.7(D5xC2^2xC4)320,1146
C2.8(D5xC22xC4) = C2xC23.11D10central stem extension (φ=1)160C2.8(D5xC2^2xC4)320,1152
C2.9(D5xC22xC4) = C2xD5xC22:C4central stem extension (φ=1)80C2.9(D5xC2^2xC4)320,1156
C2.10(D5xC22xC4) = C2xDic5:4D4central stem extension (φ=1)160C2.10(D5xC2^2xC4)320,1157
C2.11(D5xC22xC4) = C24.24D10central stem extension (φ=1)80C2.11(D5xC2^2xC4)320,1158
C2.12(D5xC22xC4) = C2xDic5:3Q8central stem extension (φ=1)320C2.12(D5xC2^2xC4)320,1168
C2.13(D5xC22xC4) = C2xD5xC4:C4central stem extension (φ=1)160C2.13(D5xC2^2xC4)320,1173
C2.14(D5xC22xC4) = C2xC4:C4:7D5central stem extension (φ=1)160C2.14(D5xC2^2xC4)320,1174
C2.15(D5xC22xC4) = C2xD20:8C4central stem extension (φ=1)160C2.15(D5xC2^2xC4)320,1175
C2.16(D5xC22xC4) = C10.82+ 1+4central stem extension (φ=1)160C2.16(D5xC2^2xC4)320,1176
C2.17(D5xC22xC4) = C42.87D10central stem extension (φ=1)160C2.17(D5xC2^2xC4)320,1188
C2.18(D5xC22xC4) = D5xC42:C2central stem extension (φ=1)80C2.18(D5xC2^2xC4)320,1192
C2.19(D5xC22xC4) = C42:7D10central stem extension (φ=1)80C2.19(D5xC2^2xC4)320,1193
C2.20(D5xC22xC4) = C42.188D10central stem extension (φ=1)160C2.20(D5xC2^2xC4)320,1194
C2.21(D5xC22xC4) = C42.91D10central stem extension (φ=1)160C2.21(D5xC2^2xC4)320,1195
C2.22(D5xC22xC4) = C4xD4:2D5central stem extension (φ=1)160C2.22(D5xC2^2xC4)320,1208
C2.23(D5xC22xC4) = C4xD4xD5central stem extension (φ=1)80C2.23(D5xC2^2xC4)320,1216
C2.24(D5xC22xC4) = C42:11D10central stem extension (φ=1)80C2.24(D5xC2^2xC4)320,1217
C2.25(D5xC22xC4) = C42.108D10central stem extension (φ=1)160C2.25(D5xC2^2xC4)320,1218
C2.26(D5xC22xC4) = C4xQ8xD5central stem extension (φ=1)160C2.26(D5xC2^2xC4)320,1243
C2.27(D5xC22xC4) = C42.125D10central stem extension (φ=1)160C2.27(D5xC2^2xC4)320,1244
C2.28(D5xC22xC4) = C4xQ8:2D5central stem extension (φ=1)160C2.28(D5xC2^2xC4)320,1245
C2.29(D5xC22xC4) = C42.126D10central stem extension (φ=1)160C2.29(D5xC2^2xC4)320,1246
C2.30(D5xC22xC4) = C22xC8:D5central stem extension (φ=1)160C2.30(D5xC2^2xC4)320,1409
C2.31(D5xC22xC4) = C2xD20.3C4central stem extension (φ=1)160C2.31(D5xC2^2xC4)320,1410
C2.32(D5xC22xC4) = C2xD5xM4(2)central stem extension (φ=1)80C2.32(D5xC2^2xC4)320,1415
C2.33(D5xC22xC4) = C2xD20.2C4central stem extension (φ=1)160C2.33(D5xC2^2xC4)320,1416
C2.34(D5xC22xC4) = C40.47C23central stem extension (φ=1)804C2.34(D5xC2^2xC4)320,1417
C2.35(D5xC22xC4) = D5xC8oD4central stem extension (φ=1)804C2.35(D5xC2^2xC4)320,1421
C2.36(D5xC22xC4) = C20.72C24central stem extension (φ=1)804C2.36(D5xC2^2xC4)320,1422
C2.37(D5xC22xC4) = C22xC10.D4central stem extension (φ=1)320C2.37(D5xC2^2xC4)320,1455
C2.38(D5xC22xC4) = C22xD10:C4central stem extension (φ=1)160C2.38(D5xC2^2xC4)320,1459
C2.39(D5xC22xC4) = C2xC4xC5:D4central stem extension (φ=1)160C2.39(D5xC2^2xC4)320,1460

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