Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
322 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13117064 | C2 | semidirect |
| 4. #13114206 | C2 | semidirect |
| 5. #13112890 | C2 | semidirect |
| 7. C13×Q8⋊C16 | C2 | semidirect |
| 91. Q8⋊C16 | D13 | semidirect |
| 95. Q8×C13 | SD32 | semidirect |
| 214. C13 | #12356 | semidirect |
| 222. Q8 | #88040 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×D104 | 2 |
| #13117064 | 2 |
| #13116882 | 2 |
| #13114206 | 2 |
| #13112890 | 2 |
| #13112798 | 2 |
| C13×Q8⋊C16 | 2 |
| #12356 | 13 |