Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
384 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 384 conjugacy classes of subgroups — too many to draw. Only its 88 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. C4×#88102 | C2 | semidirect |
| 2. #13130397 | C2 | semidirect |
| 4. #13129688 | C2 | semidirect |
| 10. C13×#436 | C4 | semidirect |
| 13. D4×#1055 | C4 | semidirect |
| 15. #11718491 | C4 | semidirect |
| 19. #11718340 | C4 | semidirect |
| 140. #436 | #261 | semidirect |
| 255. C13 | #8697 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88102 | 2 |
| #13130397 | 2 |
| #13130238 | 2 |
| #13129688 | 2 |
| #13123814 | 2 |
| #8697 | 13 |