Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
426 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13131198 | C2 | semidirect |
| 2. #13130390 | C2 | semidirect |
| 3. #13129794 | C2 | semidirect |
| 17. #11718258 | C22 | semidirect |
| 19. #11718253 | C22 | semidirect |
| 63. C13×D8 | M16 | semidirect |
| 186. D8 | #6122 | semidirect |
| 204. C13 | #11663 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131198 | 2 |
| #13130390 | 2 |
| #13129794 | 2 |
| C2×D8×Dic13 | 2 |
| #11663 | 13 |