Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
530 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 530 conjugacy classes of subgroups — too many to draw. Only its 103 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. #13117651 | C2 | semidirect |
| 2. #13115756 | C2 | semidirect |
| 3. #13113434 | C2 | semidirect |
| 4. #13113383 | C2 | semidirect |
| 5. #13112702 | C2 | semidirect |
| 6. #13112691 | C2 | semidirect |
| 10. C13×#496 | C4 | semidirect |
| 11. C13×#489 | C4 | semidirect |
| 37. C13×C4⋊Q8 | C2×C4 | semidirect |
| 38. C13×#127 | C2×C4 | semidirect |
| 64. C13×#97 | C2×C4 | semidirect |
| 197. #496 | Dic13 | semidirect |
| 198. #489 | Dic13 | semidirect |
| 252. C4⋊Q8 | C2×Dic13 | semidirect |
| 253. #127 | C2×Dic13 | semidirect |
| 284. #97 | C2×Dic13 | semidirect |
| 355. C13 | #9381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117651 | 2 |
| #13115756 | 2 |
| #13113434 | 2 |
| #13113383 | 2 |
| #13112702 | 2 |
| #13112691 | 2 |
| C13×#3213 | 2 |
| #9381 | 13 |