Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
280 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 280 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 2. #13117065 | C2 | semidirect |
| 4. #13114434 | C2 | semidirect |
| 6. #13112752 | C2 | semidirect |
| 7. C13×#2252 | C2 | semidirect |
| 68. C13×C16 | SD16 | semidirect |
| 70. #2252 | D13 | semidirect |
| 171. C16 | #6106 | semidirect |
| 172. C13 | #12508 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117092 | 2 |
| #13117065 | 2 |
| #13117061 | 2 |
| #13114434 | 2 |
| #13114429 | 2 |
| #13112752 | 2 |
| C13×#2252 | 2 |
| #12508 | 13 |