Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
574 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 574 conjugacy classes of subgroups — too many to draw. Only its 117 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. #13123916 | C2 | semidirect |
| 3. #13114829 | C2 | semidirect |
| 6. #13112739 | C2 | semidirect |
| 7. C13×#1303 | C2 | semidirect |
| 119. #1303 | D13 | semidirect |
| 293. C13 | #9398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123916 | 2 |
| #13119838 | 2 |
| #13114829 | 2 |
| #13113505 | 2 |
| #13113503 | 2 |
| #13112739 | 2 |
| C13×#1303 | 2 |
| #9398 | 13 |