Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
356 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 78 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 |
|---|---|---|
| 2. #13130950 | C2 | semidirect |
| 4. #13130048 | C2 | semidirect |
| 5. #13129733 | C2 | semidirect |
| 6. #13129670 | C2 | semidirect |
| 23. C13×#331 | C4 | semidirect |
| 24. #11718136 | C4 | semidirect |
| 25. #11718078 | C4 | semidirect |
| 26. #11718074 | C4 | semidirect |
| 166. #331 | #261 | semidirect |
| 274. C13 | #9592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131000 | 2 |
| #13130950 | 2 |
| #13130182 | 2 |
| #13130048 | 2 |
| #13129733 | 2 |
| #13129670 | 2 |
| #13113482 | 2 |
| #9592 | 13 |