Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
322 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13117065 | C2 | semidirect |
| 3. #13114206 | C2 | semidirect |
| 4. #13112891 | C2 | semidirect |
| 5. Q8⋊#6090 | C2 | semidirect |
| 98. Q8×C13 | SD32 | semidirect |
| 214. C13 | #12356 | semidirect |
| 222. Q8 | #88067 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117065 | 2 |
| #13116881 | 2 |
| #13114206 | 2 |
| #13112891 | 2 |
| Q8⋊#6090 | 2 |
| #13112797 | 2 |
| Q8×C13×D8 | 2 |
| #12356 | 13 |