Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
398 conjugacy classes of subgroups; only the 132 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 132 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 |
|---|---|---|
| 15. #11718251 | C4 | semidirect |
| 16. #11718251 | C4 | semidirect |
| 17. C13×#334 | C4 | semidirect |
| 18. #11718072 | C4 | semidirect |
| 19. #11718049 | C4 | semidirect |
| 94. C8×C13 | #97 | semidirect |
| 97. #1055 | #97 | semidirect |
| 109. #334 | #261 | semidirect |
| 179. C13 | #8287 | semidirect |
| 202. C8 | #88100 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88102 | 2 |
| #13130633 | 2 |
| #13130030 | 2 |
| #13129670 | 2 |
| D13×#334 | 2 |
| #8287 | 13 |