Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
296 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 87 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. #13117063 | C2 | semidirect |
| 4. #13112754 | C2 | semidirect |
| 5. C13×#1713 | C2 | semidirect |
| 54. #1713 | D13 | semidirect |
| 70. C8×C13 | SD32 | semidirect |
| 130. C13 | #12526 | semidirect |
| 144. C8 | #88068 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117093 | 2 |
| #13117063 | 2 |
| #13114428 | 2 |
| #13112754 | 2 |
| C13×#1713 | 2 |
| #12526 | 13 |