Home
About
Cn
Dn
Sn
An
Degree
Linear
Irr Reps
Characters
x
:
.
o
wr

Extensions 1→N→G→Q→1 with N=C4:C4 and Q=C2xC10

Direct product G=NxQ with N=C4:C4 and Q=C2xC10
dρLabelID
C4:C4xC2xC10320C4:C4xC2xC10320,1515

Semidirect products G=N:Q with N=C4:C4 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
C4:C4:1(C2xC10) = C5xC22:D8φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:1(C2xC10)320,948
C4:C4:2(C2xC10) = C5xC22:SD16φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:2(C2xC10)320,951
C4:C4:3(C2xC10) = C5xC23:3D4φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:3(C2xC10)320,1536
C4:C4:4(C2xC10) = C5xC23:2Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:4(C2xC10)320,1545
C4:C4:5(C2xC10) = C5xD4:5D4φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:5(C2xC10)320,1548
C4:C4:6(C2xC10) = C5xC22.54C24φ: C2xC10/C5 → C22 ⊆ Out C4:C480C4:C4:6(C2xC10)320,1562
C4:C4:7(C2xC10) = C10xD4:C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4:7(C2xC10)320,915
C4:C4:8(C2xC10) = C5xC23.37D4φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:8(C2xC10)320,919
C4:C4:9(C2xC10) = C10xC4:D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4:9(C2xC10)320,1524
C4:C4:10(C2xC10) = C10xC22:Q8φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4:10(C2xC10)320,1525
C4:C4:11(C2xC10) = C10xC22.D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4:11(C2xC10)320,1526
C4:C4:12(C2xC10) = C5xC22.19C24φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:12(C2xC10)320,1527
C4:C4:13(C2xC10) = C10xC42:2C2φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4:13(C2xC10)320,1530
C4:C4:14(C2xC10) = C5xC22.29C24φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:14(C2xC10)320,1537
C4:C4:15(C2xC10) = C5xC22.32C24φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:15(C2xC10)320,1540
C4:C4:16(C2xC10) = C5xD42φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:16(C2xC10)320,1547
C4:C4:17(C2xC10) = C5xC22.45C24φ: C2xC10/C10 → C2 ⊆ Out C4:C480C4:C4:17(C2xC10)320,1553
C4:C4:18(C2xC10) = C10xC42:C2φ: trivial image160C4:C4:18(C2xC10)320,1516
C4:C4:19(C2xC10) = D4xC2xC20φ: trivial image160C4:C4:19(C2xC10)320,1517
C4:C4:20(C2xC10) = C5xC22.11C24φ: trivial image80C4:C4:20(C2xC10)320,1520

Non-split extensions G=N.Q with N=C4:C4 and Q=C2xC10
extensionφ:Q→Out NdρLabelID
C4:C4.1(C2xC10) = C5xQ8:D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.1(C2xC10)320,949
C4:C4.2(C2xC10) = C5xD4:D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.2(C2xC10)320,950
C4:C4.3(C2xC10) = C5xC22:Q16φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.3(C2xC10)320,952
C4:C4.4(C2xC10) = C5xD4.7D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.4(C2xC10)320,953
C4:C4.5(C2xC10) = C5xC8:8D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.5(C2xC10)320,966
C4:C4.6(C2xC10) = C5xC8:7D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.6(C2xC10)320,967
C4:C4.7(C2xC10) = C5xC8.18D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.7(C2xC10)320,968
C4:C4.8(C2xC10) = C5xC8:D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.8(C2xC10)320,969
C4:C4.9(C2xC10) = C5xC8:2D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.9(C2xC10)320,970
C4:C4.10(C2xC10) = C5xC8.D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.10(C2xC10)320,971
C4:C4.11(C2xC10) = C5xD4:Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.11(C2xC10)320,975
C4:C4.12(C2xC10) = C5xQ8:Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.12(C2xC10)320,976
C4:C4.13(C2xC10) = C5xD4:2Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.13(C2xC10)320,977
C4:C4.14(C2xC10) = C5xC4.Q16φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.14(C2xC10)320,978
C4:C4.15(C2xC10) = C5xD4.Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.15(C2xC10)320,979
C4:C4.16(C2xC10) = C5xQ8.Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.16(C2xC10)320,980
C4:C4.17(C2xC10) = C5xC4.4D8φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.17(C2xC10)320,987
C4:C4.18(C2xC10) = C5xC4.SD16φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.18(C2xC10)320,988
C4:C4.19(C2xC10) = C5xC42.78C22φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.19(C2xC10)320,989
C4:C4.20(C2xC10) = C5xC42.28C22φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.20(C2xC10)320,990
C4:C4.21(C2xC10) = C5xC42.29C22φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.21(C2xC10)320,991
C4:C4.22(C2xC10) = C5xC42.30C22φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.22(C2xC10)320,992
C4:C4.23(C2xC10) = C5xC8:3Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.23(C2xC10)320,999
C4:C4.24(C2xC10) = C5xC8.5Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.24(C2xC10)320,1000
C4:C4.25(C2xC10) = C5xC8:2Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.25(C2xC10)320,1001
C4:C4.26(C2xC10) = C5xC8:Q8φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.26(C2xC10)320,1002
C4:C4.27(C2xC10) = C5xC23.38C23φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.27(C2xC10)320,1538
C4:C4.28(C2xC10) = C5xC22.31C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.28(C2xC10)320,1539
C4:C4.29(C2xC10) = C5xC22.34C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.29(C2xC10)320,1542
C4:C4.30(C2xC10) = C5xC23.41C23φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.30(C2xC10)320,1546
C4:C4.31(C2xC10) = C5xD4:6D4φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.31(C2xC10)320,1549
C4:C4.32(C2xC10) = C5xD4xQ8φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.32(C2xC10)320,1551
C4:C4.33(C2xC10) = C5xC22.46C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.33(C2xC10)320,1554
C4:C4.34(C2xC10) = C5xC22.56C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.34(C2xC10)320,1564
C4:C4.35(C2xC10) = C5xC22.57C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4160C4:C4.35(C2xC10)320,1565
C4:C4.36(C2xC10) = C5xC22.58C24φ: C2xC10/C5 → C22 ⊆ Out C4:C4320C4:C4.36(C2xC10)320,1566
C4:C4.37(C2xC10) = C10xQ8:C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.37(C2xC10)320,916
C4:C4.38(C2xC10) = C5xC23.24D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.38(C2xC10)320,917
C4:C4.39(C2xC10) = C5xC23.36D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.39(C2xC10)320,918
C4:C4.40(C2xC10) = C5xC23.38D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.40(C2xC10)320,920
C4:C4.41(C2xC10) = C10xC4.Q8φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.41(C2xC10)320,926
C4:C4.42(C2xC10) = C10xC2.D8φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.42(C2xC10)320,927
C4:C4.43(C2xC10) = C5xC23.25D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.43(C2xC10)320,928
C4:C4.44(C2xC10) = C5xM4(2):C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.44(C2xC10)320,929
C4:C4.45(C2xC10) = D8xC20φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.45(C2xC10)320,938
C4:C4.46(C2xC10) = SD16xC20φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.46(C2xC10)320,939
C4:C4.47(C2xC10) = Q16xC20φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.47(C2xC10)320,940
C4:C4.48(C2xC10) = C5xSD16:C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.48(C2xC10)320,941
C4:C4.49(C2xC10) = C5xQ16:C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.49(C2xC10)320,942
C4:C4.50(C2xC10) = C5xD8:C4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.50(C2xC10)320,943
C4:C4.51(C2xC10) = C5xC4:D8φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.51(C2xC10)320,960
C4:C4.52(C2xC10) = C5xC4:SD16φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.52(C2xC10)320,961
C4:C4.53(C2xC10) = C5xD4.D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.53(C2xC10)320,962
C4:C4.54(C2xC10) = C5xC4:2Q16φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.54(C2xC10)320,963
C4:C4.55(C2xC10) = C5xD4.2D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.55(C2xC10)320,964
C4:C4.56(C2xC10) = C5xQ8.D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.56(C2xC10)320,965
C4:C4.57(C2xC10) = C5xC22.D8φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.57(C2xC10)320,981
C4:C4.58(C2xC10) = C5xC23.46D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.58(C2xC10)320,982
C4:C4.59(C2xC10) = C5xC23.19D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.59(C2xC10)320,983
C4:C4.60(C2xC10) = C5xC23.47D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.60(C2xC10)320,984
C4:C4.61(C2xC10) = C5xC23.48D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.61(C2xC10)320,985
C4:C4.62(C2xC10) = C5xC23.20D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.62(C2xC10)320,986
C4:C4.63(C2xC10) = C10xC42.C2φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.63(C2xC10)320,1529
C4:C4.64(C2xC10) = C5xC23.36C23φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.64(C2xC10)320,1531
C4:C4.65(C2xC10) = C10xC4:Q8φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.65(C2xC10)320,1533
C4:C4.66(C2xC10) = C5xC22.26C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.66(C2xC10)320,1534
C4:C4.67(C2xC10) = C5xC23.37C23φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.67(C2xC10)320,1535
C4:C4.68(C2xC10) = C5xC22.33C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.68(C2xC10)320,1541
C4:C4.69(C2xC10) = C5xC22.35C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.69(C2xC10)320,1543
C4:C4.70(C2xC10) = C5xC22.36C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.70(C2xC10)320,1544
C4:C4.71(C2xC10) = C5xQ8:5D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.71(C2xC10)320,1550
C4:C4.72(C2xC10) = C5xQ8:6D4φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.72(C2xC10)320,1552
C4:C4.73(C2xC10) = C5xC22.47C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.73(C2xC10)320,1555
C4:C4.74(C2xC10) = C5xD4:3Q8φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.74(C2xC10)320,1556
C4:C4.75(C2xC10) = C5xC22.49C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.75(C2xC10)320,1557
C4:C4.76(C2xC10) = C5xC22.50C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.76(C2xC10)320,1558
C4:C4.77(C2xC10) = C5xQ8:3Q8φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.77(C2xC10)320,1559
C4:C4.78(C2xC10) = C5xQ82φ: C2xC10/C10 → C2 ⊆ Out C4:C4320C4:C4.78(C2xC10)320,1560
C4:C4.79(C2xC10) = C5xC22.53C24φ: C2xC10/C10 → C2 ⊆ Out C4:C4160C4:C4.79(C2xC10)320,1561
C4:C4.80(C2xC10) = Q8xC2xC20φ: trivial image320C4:C4.80(C2xC10)320,1518
C4:C4.81(C2xC10) = C4oD4xC20φ: trivial image160C4:C4.81(C2xC10)320,1519
C4:C4.82(C2xC10) = C5xC23.32C23φ: trivial image160C4:C4.82(C2xC10)320,1521
C4:C4.83(C2xC10) = C5xC23.33C23φ: trivial image160C4:C4.83(C2xC10)320,1522

׿
x
:
Z
F
o
wr
Q
<