Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
518 conjugacy classes of subgroups; only the 84 normal subgroups are shown.
This group has 518 conjugacy classes of subgroups — too many to draw. Only its 84 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. #13131699 | C2 | semidirect |
| 2. #13130706 | C2 | semidirect |
| 3. #13130265 | C2 | semidirect |
| 4. #13130142 | C2 | semidirect |
| 5. #13129726 | C2 | semidirect |
| 6. #13129691 | C2 | semidirect |
| 21. C13×#459 | C4 | semidirect |
| 23. #11718733 | C4 | semidirect |
| 24. #11718680 | C4 | semidirect |
| 25. #11718502 | C4 | semidirect |
| 214. #459 | #261 | semidirect |
| 379. C13 | #9309 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131699 | 2 |
| #13130706 | 2 |
| #13130265 | 2 |
| #13130142 | 2 |
| #13129726 | 2 |
| #13129691 | 2 |
| #13124295 | 2 |
| #9309 | 13 |