Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 98 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. C22×#88098 | C2 | semidirect |
| 2. C2×#11718279 | C2 | semidirect |
| 3. #13130712 | C2 | semidirect |
| 4. #13129907 | C2 | semidirect |
| 15. C13×#467 | C4 | semidirect |
| 16. #11718849 | C4 | semidirect |
| 17. #11718776 | C4 | semidirect |
| 19. #11718544 | C4 | semidirect |
| 58. #88098 | D4 | semidirect |
| 168. #467 | #261 | semidirect |
| 181. C22×C13 | #360 | semidirect |
| 299. C13 | #13065 | semidirect |
| 351. C22 | #11718279 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88098 | 2 |
| C2×#11718279 | 2 |
| #13130712 | 2 |
| #13129907 | 2 |
| #13124419 | 2 |
| #13065 | 13 |