Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
336 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 27. C13×#330 | C4 | semidirect |
| 28. #11718135 | C4 | semidirect |
| 29. #11718057 | C4 | semidirect |
| 30. #11718057 | C4 | semidirect |
| 169. #330 | #261 | semidirect |
| 269. C13 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131749 | 2 |
| #13131023 | 2 |
| #13130402 | 2 |
| #13130401 | 2 |
| #13129725 | 2 |
| #13113429 | 2 |
| #8919 | 13 |