Finite Group Databasebeta

← C2×C3×C11×C13×C43 #49146293

Subgroups — C2×C3×C11×C13×C43 #49146293

Order 36894.

32 conjugacy classes of subgroups.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C11×C13×C43C211yesmaximal, characteristic, direct product factor, Hall
2C2×C11×C13×C43C311yesmaximal, characteristic, direct product factor, Hall
3C11×C13×C43C2×C311yescharacteristic, direct product factor, Hall
4C2×C3×C13×C43C1111yesmaximal, characteristic, direct product factor, Hall
5C2×C3×C11×C43C1311yesmaximal, characteristic, direct product factor, Hall
6C3×C13×C43C2×C1111yescharacteristic, direct product factor, Hall
7C3×C11×C43C2×C1311yescharacteristic, direct product factor, Hall
8C2×C13×C43C3×C1111yescharacteristic, direct product factor, Hall
9C2×C11×C43C3×C1311yescharacteristic, direct product factor, Hall
10C2×C3×C11×C13C4311yesmaximal, characteristic, direct product factor, Hall
11C13×C43C2×C3×C1111yescharacteristic, direct product factor, Hall
12C11×C43C2×C3×C1311yescharacteristic, direct product factor, Hall
13C3×C11×C13C2×C4311yescharacteristic, direct product factor, Hall
14C2×C11×C13C3×C4311yescharacteristic, direct product factor, Hall
15C2×C3×C43C11×C1311yescharacteristic, direct product factor, Hall
16C11×C13C2×C3×C4311yescharacteristic, direct product factor, Hall
17C3×C43C2×C11×C1311yescharacteristic, direct product factor, Hall
18C2×C43C3×C11×C1311yescharacteristic, direct product factor, Hall
19C2×C3×C13C11×C4311yescharacteristic, direct product factor, Hall
20C2×C3×C11C13×C4311yescharacteristic, direct product factor, Hall
21C43C2×C3×C11×C1311yescharacteristic, direct product factor, Sylow
22C3×C13C2×C11×C4311yescharacteristic, direct product factor, Hall
23C3×C11C2×C13×C4311yescharacteristic, direct product factor, Hall
24C2×C13C3×C11×C4311yescharacteristic, direct product factor, Hall
25C2×C11C3×C13×C4311yescharacteristic, direct product factor, Hall
26C13C2×C3×C11×C4311yescharacteristic, direct product factor, Sylow
27C11C2×C3×C13×C4311yescharacteristic, direct product factor, Sylow
28C2×C3C11×C13×C4311yescharacteristic, direct product factor, Hall
29C3C2×C11×C13×C4311yescharacteristic, direct product factor, Sylow
30C2C3×C11×C13×C4311yescharacteristic, direct product factor, Sylow
subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. C3×C11×C13×C43C2direct (N × H)
2. C2×C11×C13×C43C3direct (N × H)
3. C11×C13×C43C2×C3direct (N × H)
4. C2×C3×C13×C43C11direct (N × H)
5. C2×C3×C11×C43C13direct (N × H)
6. C3×C13×C43C2×C11direct (N × H)
7. C3×C11×C43C2×C13direct (N × H)
8. C2×C13×C43C3×C11direct (N × H)
9. C2×C11×C43C3×C13direct (N × H)
10. C2×C3×C11×C13C43direct (N × H)
11. C13×C43C2×C3×C11direct (N × H)
12. C11×C43C2×C3×C13direct (N × H)
13. C3×C11×C13C2×C43direct (N × H)
14. C2×C11×C13C3×C43direct (N × H)
15. C2×C3×C43C11×C13direct (N × H)
16. C11×C13C2×C3×C43direct (N × H)
17. C3×C43C2×C11×C13direct (N × H)
18. C2×C43C3×C11×C13direct (N × H)
19. C2×C3×C13C11×C43direct (N × H)
20. C2×C3×C11C13×C43direct (N × H)
21. C43C2×C3×C11×C13direct (N × H)
22. C3×C13C2×C11×C43direct (N × H)
23. C3×C11C2×C13×C43direct (N × H)
24. C2×C13C3×C11×C43direct (N × H)
25. C2×C11C3×C13×C43direct (N × H)
26. C13C2×C3×C11×C43direct (N × H)
27. C11C2×C3×C13×C43direct (N × H)
28. C2×C3C11×C13×C43direct (N × H)
29. C3C2×C11×C13×C43direct (N × H)
30. C2C3×C11×C13×C43direct (N × H)

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
C3×C11×C13×C432
C2×C11×C13×C433
C2×C3×C13×C4311
C2×C3×C11×C4313
C2×C3×C11×C1343