Extensions 1→N→G→Q→1 with N=C2 and Q=D5×C22×C4

Direct product G=N×Q with N=C2 and Q=D5×C22×C4
dρLabelID
D5×C23×C4160D5xC2^3xC4320,1609

Non-split extensions G=N.Q with N=C2 and Q=D5×C22×C4
extensionφ:Q→Aut NdρLabelID
C2.1(D5×C22×C4) = D5×C2×C42central extension (φ=1)160C2.1(D5xC2^2xC4)320,1143
C2.2(D5×C22×C4) = D5×C22×C8central extension (φ=1)160C2.2(D5xC2^2xC4)320,1408
C2.3(D5×C22×C4) = C22×C4×Dic5central extension (φ=1)320C2.3(D5xC2^2xC4)320,1454
C2.4(D5×C22×C4) = C2×C4×Dic10central stem extension (φ=1)320C2.4(D5xC2^2xC4)320,1139
C2.5(D5×C22×C4) = C2×C42⋊D5central stem extension (φ=1)160C2.5(D5xC2^2xC4)320,1144
C2.6(D5×C22×C4) = C2×C4×D20central stem extension (φ=1)160C2.6(D5xC2^2xC4)320,1145
C2.7(D5×C22×C4) = C4×C4○D20central stem extension (φ=1)160C2.7(D5xC2^2xC4)320,1146
C2.8(D5×C22×C4) = C2×C23.11D10central stem extension (φ=1)160C2.8(D5xC2^2xC4)320,1152
C2.9(D5×C22×C4) = C2×D5×C22⋊C4central stem extension (φ=1)80C2.9(D5xC2^2xC4)320,1156
C2.10(D5×C22×C4) = C2×Dic54D4central stem extension (φ=1)160C2.10(D5xC2^2xC4)320,1157
C2.11(D5×C22×C4) = C24.24D10central stem extension (φ=1)80C2.11(D5xC2^2xC4)320,1158
C2.12(D5×C22×C4) = C2×Dic53Q8central stem extension (φ=1)320C2.12(D5xC2^2xC4)320,1168
C2.13(D5×C22×C4) = C2×D5×C4⋊C4central stem extension (φ=1)160C2.13(D5xC2^2xC4)320,1173
C2.14(D5×C22×C4) = C2×C4⋊C47D5central stem extension (φ=1)160C2.14(D5xC2^2xC4)320,1174
C2.15(D5×C22×C4) = C2×D208C4central stem extension (φ=1)160C2.15(D5xC2^2xC4)320,1175
C2.16(D5×C22×C4) = C10.82+ 1+4central stem extension (φ=1)160C2.16(D5xC2^2xC4)320,1176
C2.17(D5×C22×C4) = C42.87D10central stem extension (φ=1)160C2.17(D5xC2^2xC4)320,1188
C2.18(D5×C22×C4) = D5×C42⋊C2central stem extension (φ=1)80C2.18(D5xC2^2xC4)320,1192
C2.19(D5×C22×C4) = C427D10central stem extension (φ=1)80C2.19(D5xC2^2xC4)320,1193
C2.20(D5×C22×C4) = C42.188D10central stem extension (φ=1)160C2.20(D5xC2^2xC4)320,1194
C2.21(D5×C22×C4) = C42.91D10central stem extension (φ=1)160C2.21(D5xC2^2xC4)320,1195
C2.22(D5×C22×C4) = C4×D42D5central stem extension (φ=1)160C2.22(D5xC2^2xC4)320,1208
C2.23(D5×C22×C4) = C4×D4×D5central stem extension (φ=1)80C2.23(D5xC2^2xC4)320,1216
C2.24(D5×C22×C4) = C4211D10central stem extension (φ=1)80C2.24(D5xC2^2xC4)320,1217
C2.25(D5×C22×C4) = C42.108D10central stem extension (φ=1)160C2.25(D5xC2^2xC4)320,1218
C2.26(D5×C22×C4) = C4×Q8×D5central stem extension (φ=1)160C2.26(D5xC2^2xC4)320,1243
C2.27(D5×C22×C4) = C42.125D10central stem extension (φ=1)160C2.27(D5xC2^2xC4)320,1244
C2.28(D5×C22×C4) = C4×Q82D5central stem extension (φ=1)160C2.28(D5xC2^2xC4)320,1245
C2.29(D5×C22×C4) = C42.126D10central stem extension (φ=1)160C2.29(D5xC2^2xC4)320,1246
C2.30(D5×C22×C4) = C22×C8⋊D5central stem extension (φ=1)160C2.30(D5xC2^2xC4)320,1409
C2.31(D5×C22×C4) = C2×D20.3C4central stem extension (φ=1)160C2.31(D5xC2^2xC4)320,1410
C2.32(D5×C22×C4) = C2×D5×M4(2)central stem extension (φ=1)80C2.32(D5xC2^2xC4)320,1415
C2.33(D5×C22×C4) = C2×D20.2C4central stem extension (φ=1)160C2.33(D5xC2^2xC4)320,1416
C2.34(D5×C22×C4) = C40.47C23central stem extension (φ=1)804C2.34(D5xC2^2xC4)320,1417
C2.35(D5×C22×C4) = D5×C8○D4central stem extension (φ=1)804C2.35(D5xC2^2xC4)320,1421
C2.36(D5×C22×C4) = C20.72C24central stem extension (φ=1)804C2.36(D5xC2^2xC4)320,1422
C2.37(D5×C22×C4) = C22×C10.D4central stem extension (φ=1)320C2.37(D5xC2^2xC4)320,1455
C2.38(D5×C22×C4) = C22×D10⋊C4central stem extension (φ=1)160C2.38(D5xC2^2xC4)320,1459
C2.39(D5×C22×C4) = C2×C4×C5⋊D4central stem extension (φ=1)160C2.39(D5xC2^2xC4)320,1460

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