Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
316 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13131192 | C2 | semidirect |
| 4. #108×#261 | C2 | semidirect |
| 5. #13129915 | C2 | semidirect |
| 6. #13129879 | C2 | semidirect |
| 23. C13×#362 | C4 | semidirect |
| 24. #11718157 | C4 | semidirect |
| 25. #11718108 | C4 | semidirect |
| 26. #11718087 | C4 | semidirect |
| 156. #362 | #261 | semidirect |
| 258. C13 | #13137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131192 | 2 |
| #13131152 | 2 |
| #13130987 | 2 |
| #108×#261 | 2 |
| #13129915 | 2 |
| #13129879 | 2 |
| #13116584 | 2 |
| #13137 | 13 |