Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
268 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 75 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. #13117063 | C2 | semidirect |
| 4. #13114453 | C2 | semidirect |
| 6. #13112752 | C2 | semidirect |
| 7. C13×#2241 | C2 | semidirect |
| 70. #2241 | D13 | semidirect |
| 170. C13 | #12512 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117063 | 2 |
| #13117061 | 2 |
| #13117060 | 2 |
| #13114453 | 2 |
| #13114443 | 2 |
| #13112752 | 2 |
| C13×#2241 | 2 |
| #12512 | 13 |