Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 3. #13130270 | C2 | semidirect |
| 4. #13130146 | C2 | semidirect |
| 5. #13129726 | C2 | semidirect |
| 6. #13129691 | C2 | semidirect |
| 20. C13×#474 | C4 | semidirect |
| 21. #11718748 | C4 | semidirect |
| 22. #11718669 | C4 | semidirect |
| 25. #11718503 | C4 | semidirect |
| 195. #474 | #261 | semidirect |
| 348. C13 | #9303 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131684 | 2 |
| #13130706 | 2 |
| #13130270 | 2 |
| #13130146 | 2 |
| #13129726 | 2 |
| #13129691 | 2 |
| #13124628 | 2 |
| #9303 | 13 |