Extensions 1→N→G→Q→1 with N=C2 and Q=C22×C5⋊D4

Direct product G=N×Q with N=C2 and Q=C22×C5⋊D4
dρLabelID
C23×C5⋊D4160C2^3xC5:D4320,1627


Non-split extensions G=N.Q with N=C2 and Q=C22×C5⋊D4
extensionφ:Q→Aut NdρLabelID
C2.1(C22×C5⋊D4) = C22×C10.D4central extension (φ=1)320C2.1(C2^2xC5:D4)320,1455
C2.2(C22×C5⋊D4) = C22×D10⋊C4central extension (φ=1)160C2.2(C2^2xC5:D4)320,1459
C2.3(C22×C5⋊D4) = C2×C4×C5⋊D4central extension (φ=1)160C2.3(C2^2xC5:D4)320,1460
C2.4(C22×C5⋊D4) = C22×C23.D5central extension (φ=1)160C2.4(C2^2xC5:D4)320,1511
C2.5(C22×C5⋊D4) = C2×C20.48D4central stem extension (φ=1)160C2.5(C2^2xC5:D4)320,1456
C2.6(C22×C5⋊D4) = C2×C23.23D10central stem extension (φ=1)160C2.6(C2^2xC5:D4)320,1461
C2.7(C22×C5⋊D4) = C2×C207D4central stem extension (φ=1)160C2.7(C2^2xC5:D4)320,1462
C2.8(C22×C5⋊D4) = C24.72D10central stem extension (φ=1)80C2.8(C2^2xC5:D4)320,1463
C2.9(C22×C5⋊D4) = C22×D4⋊D5central stem extension (φ=1)160C2.9(C2^2xC5:D4)320,1464
C2.10(C22×C5⋊D4) = C2×D4.D10central stem extension (φ=1)80C2.10(C2^2xC5:D4)320,1465
C2.11(C22×C5⋊D4) = C22×D4.D5central stem extension (φ=1)160C2.11(C2^2xC5:D4)320,1466
C2.12(C22×C5⋊D4) = C2×C23.18D10central stem extension (φ=1)160C2.12(C2^2xC5:D4)320,1468
C2.13(C22×C5⋊D4) = C2×C20.17D4central stem extension (φ=1)160C2.13(C2^2xC5:D4)320,1469
C2.14(C22×C5⋊D4) = C2×C23⋊D10central stem extension (φ=1)80C2.14(C2^2xC5:D4)320,1471
C2.15(C22×C5⋊D4) = C2×C202D4central stem extension (φ=1)160C2.15(C2^2xC5:D4)320,1472
C2.16(C22×C5⋊D4) = D4×C5⋊D4central stem extension (φ=1)80C2.16(C2^2xC5:D4)320,1473
C2.17(C22×C5⋊D4) = C2×Dic5⋊D4central stem extension (φ=1)160C2.17(C2^2xC5:D4)320,1474
C2.18(C22×C5⋊D4) = C2×C20⋊D4central stem extension (φ=1)160C2.18(C2^2xC5:D4)320,1475
C2.19(C22×C5⋊D4) = C248D10central stem extension (φ=1)80C2.19(C2^2xC5:D4)320,1476
C2.20(C22×C5⋊D4) = C24.41D10central stem extension (φ=1)80C2.20(C2^2xC5:D4)320,1477
C2.21(C22×C5⋊D4) = C24.42D10central stem extension (φ=1)80C2.21(C2^2xC5:D4)320,1478
C2.22(C22×C5⋊D4) = C22×Q8⋊D5central stem extension (φ=1)160C2.22(C2^2xC5:D4)320,1479
C2.23(C22×C5⋊D4) = C2×C20.C23central stem extension (φ=1)160C2.23(C2^2xC5:D4)320,1480
C2.24(C22×C5⋊D4) = C22×C5⋊Q16central stem extension (φ=1)320C2.24(C2^2xC5:D4)320,1481
C2.25(C22×C5⋊D4) = C2×Dic5⋊Q8central stem extension (φ=1)320C2.25(C2^2xC5:D4)320,1482
C2.26(C22×C5⋊D4) = C2×D103Q8central stem extension (φ=1)160C2.26(C2^2xC5:D4)320,1485
C2.27(C22×C5⋊D4) = C2×C20.23D4central stem extension (φ=1)160C2.27(C2^2xC5:D4)320,1486
C2.28(C22×C5⋊D4) = Q8×C5⋊D4central stem extension (φ=1)160C2.28(C2^2xC5:D4)320,1487
C2.29(C22×C5⋊D4) = C10.442- 1+4central stem extension (φ=1)160C2.29(C2^2xC5:D4)320,1488
C2.30(C22×C5⋊D4) = C10.452- 1+4central stem extension (φ=1)160C2.30(C2^2xC5:D4)320,1489
C2.31(C22×C5⋊D4) = C2×D4⋊D10central stem extension (φ=1)80C2.31(C2^2xC5:D4)320,1492
C2.32(C22×C5⋊D4) = C2×D4.8D10central stem extension (φ=1)160C2.32(C2^2xC5:D4)320,1493
C2.33(C22×C5⋊D4) = C20.C24central stem extension (φ=1)804C2.33(C2^2xC5:D4)320,1494
C2.34(C22×C5⋊D4) = C2×D4.9D10central stem extension (φ=1)160C2.34(C2^2xC5:D4)320,1495
C2.35(C22×C5⋊D4) = C10.1042- 1+4central stem extension (φ=1)160C2.35(C2^2xC5:D4)320,1496
C2.36(C22×C5⋊D4) = C10.1052- 1+4central stem extension (φ=1)160C2.36(C2^2xC5:D4)320,1497
C2.37(C22×C5⋊D4) = (C2×C20)⋊15D4central stem extension (φ=1)80C2.37(C2^2xC5:D4)320,1500
C2.38(C22×C5⋊D4) = C10.1452+ 1+4central stem extension (φ=1)80C2.38(C2^2xC5:D4)320,1501
C2.39(C22×C5⋊D4) = C10.1462+ 1+4central stem extension (φ=1)80C2.39(C2^2xC5:D4)320,1502
C2.40(C22×C5⋊D4) = C10.1072- 1+4central stem extension (φ=1)160C2.40(C2^2xC5:D4)320,1503
C2.41(C22×C5⋊D4) = (C2×C20)⋊17D4central stem extension (φ=1)160C2.41(C2^2xC5:D4)320,1504
C2.42(C22×C5⋊D4) = C10.1472+ 1+4central stem extension (φ=1)160C2.42(C2^2xC5:D4)320,1505
C2.43(C22×C5⋊D4) = C10.1482+ 1+4central stem extension (φ=1)160C2.43(C2^2xC5:D4)320,1506
C2.44(C22×C5⋊D4) = D20.32C23central stem extension (φ=1)808+C2.44(C2^2xC5:D4)320,1507
C2.45(C22×C5⋊D4) = D20.33C23central stem extension (φ=1)808-C2.45(C2^2xC5:D4)320,1508
C2.46(C22×C5⋊D4) = D20.34C23central stem extension (φ=1)808+C2.46(C2^2xC5:D4)320,1509
C2.47(C22×C5⋊D4) = D20.35C23central stem extension (φ=1)1608-C2.47(C2^2xC5:D4)320,1510
C2.48(C22×C5⋊D4) = C2×C242D5central stem extension (φ=1)80C2.48(C2^2xC5:D4)320,1512

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