Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
498 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 498 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 4. #13112739 | C2 | semidirect |
| 5. #13112696 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 7. C13×#1303 | C2 | semidirect |
| 106. #1303 | D13 | semidirect |
| 270. C13 | #8764 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117747 | 2 |
| #13114825 | 2 |
| #13113156 | 2 |
| #13112739 | 2 |
| #13112696 | 2 |
| #13112695 | 2 |
| C13×#1303 | 2 |
| #8764 | 13 |