Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
212 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 212 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13117118 | C2 | semidirect |
| 5. #13112895 | C2 | semidirect |
| 6. #13112892 | C2 | semidirect |
| 7. C13×#1371 | C2 | semidirect |
| 65. C13×C16 | SD16 | semidirect |
| 71. #1371 | D13 | semidirect |
| 167. C16 | #6095 | semidirect |
| 168. C13 | #12456 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117118 | 2 |
| #13116669 | 2 |
| #13114236 | 2 |
| #13114226 | 2 |
| #13112895 | 2 |
| #13112892 | 2 |
| C13×#1371 | 2 |
| #12456 | 13 |