Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
712 conjugacy classes of subgroups; only the 323 normal subgroups are shown.
This group has 712 conjugacy classes of subgroups — too many to draw. Only its 323 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 |
|---|---|---|
| 2. #13113140 | C2 | semidirect |
| 3. #13113138 | C2 | semidirect |
| 4. #13113137 | C2 | semidirect |
| 5. #13113136 | C2 | semidirect |
| 6. #13113135 | C2 | semidirect |
| 7. C13×#1454 | C2 | semidirect |
| 19. C13×#322 | C22 | semidirect |
| 20. C82×C13 | C22 | semidirect |
| 21. #11718047 | C22 | semidirect |
| 22. #11718046 | C22 | semidirect |
| 23. #11718046 | C22 | semidirect |
| 24. C8×#1055 | C22 | semidirect |
| 74. #1454 | D13 | semidirect |
| 107. #322 | C2×D13 | semidirect |
| 109. C82 | C2×D13 | semidirect |
| 165. C13 | #17339 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123464 | 2 |
| #13113140 | 2 |
| #13113138 | 2 |
| #13113137 | 2 |
| #13113136 | 2 |
| #13113135 | 2 |
| C13×#1454 | 2 |
| #17339 | 13 |