Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
240 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 240 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116989 | C2 | semidirect |
| 4. C8×Dic52 | C2 | semidirect |
| 5. #13112893 | C2 | semidirect |
| 7. C13×#1367 | C2 | semidirect |
| 64. Dic52 | SD16 | semidirect |
| 75. #1367 | D13 | semidirect |
| 178. C13 | #12419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116989 | 2 |
| #13116877 | 2 |
| #13114428 | 2 |
| C8×Dic52 | 2 |
| #13112893 | 2 |
| #13112883 | 2 |
| C13×#1367 | 2 |
| #12419 | 13 |