Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
592 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 143 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. #13124417 | C2 | semidirect |
| 2. #13117045 | C2 | semidirect |
| 3. #13117028 | C2 | semidirect |
| 4. #13116949 | C2 | semidirect |
| 5. #13116944 | C2 | semidirect |
| 6. #13116939 | C2 | semidirect |
| 7. #13116778 | C2 | semidirect |
| 8. #13116761 | C2 | semidirect |
| 9. C13×#2112 | C2 | semidirect |
| 23. C2×Dic104 | C22 | semidirect |
| 24. C2×#88040 | C22 | semidirect |
| 25. C2×D208 | C22 | semidirect |
| 28. #11718101 | C22 | semidirect |
| 29. #11718101 | C22 | semidirect |
| 30. #11718097 | C22 | semidirect |
| 31. #11718097 | C22 | semidirect |
| 32. #11718096 | C22 | semidirect |
| 33. #11718095 | C22 | semidirect |
| 34. #11718095 | C22 | semidirect |
| 123. #2112 | D13 | semidirect |
| 279. C13 | #33763 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124417 | 2 |
| #13117045 | 2 |
| #13117028 | 2 |
| #13116949 | 2 |
| #13116944 | 2 |
| #13116939 | 2 |
| #13116778 | 2 |
| #13116761 | 2 |
| C13×#2112 | 2 |
| #33763 | 13 |