Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
492 conjugacy classes of subgroups; only the 100 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 100 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. #13131021 | C2 | semidirect |
| 3. C4×#88100 | C2 | semidirect |
| 4. #13130394 | C2 | semidirect |
| 5. #13130186 | C2 | semidirect |
| 16. C13×#492 | C4 | semidirect |
| 19. #11718742 | C4 | semidirect |
| 20. #11718731 | C4 | semidirect |
| 22. #11718341 | C4 | semidirect |
| 148. C8×C13 | #104 | semidirect |
| 153. #492 | #261 | semidirect |
| 275. C13 | #9851 | semidirect |
| 307. C8 | #88116 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131021 | 2 |
| #13130970 | 2 |
| C4×#88100 | 2 |
| #13130394 | 2 |
| #13130186 | 2 |
| #13130182 | 2 |
| #13125393 | 2 |
| #9851 | 13 |