Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
318 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13117093 | C2 | semidirect |
| 2. #13117060 | C2 | semidirect |
| 3. #13117059 | C2 | semidirect |
| 5. #13114430 | C2 | semidirect |
| 6. #13112755 | C2 | semidirect |
| 7. C13×#2248 | C2 | semidirect |
| 75. #2248 | D13 | semidirect |
| 102. #1055 | SD32 | semidirect |
| 186. C13 | #12529 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117093 | 2 |
| #13117060 | 2 |
| #13117059 | 2 |
| #13114450 | 2 |
| #13114430 | 2 |
| #13112755 | 2 |
| C13×#2248 | 2 |
| #12529 | 13 |