Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
510 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 510 conjugacy classes of subgroups — too many to draw. Only its 88 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. #13131648 | C2 | semidirect |
| 2. #13130708 | C2 | semidirect |
| 3. #13130217 | C2 | semidirect |
| 4. #13130183 | C2 | semidirect |
| 5. #13129728 | C2 | semidirect |
| 6. #13129670 | C2 | semidirect |
| 21. C13×#461 | C4 | semidirect |
| 23. #11718751 | C4 | semidirect |
| 24. #11718676 | C4 | semidirect |
| 25. #11718509 | C4 | semidirect |
| 211. #461 | #261 | semidirect |
| 375. C13 | #9210 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131648 | 2 |
| #13130708 | 2 |
| #13130217 | 2 |
| #13130183 | 2 |
| #13129728 | 2 |
| #13129670 | 2 |
| #13124292 | 2 |
| #9210 | 13 |