Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 91 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. #13116633 | C2 | semidirect |
| 3. D13×#335 | C2 | semidirect |
| 4. #13112798 | C2 | semidirect |
| 5. #13112797 | C2 | semidirect |
| 6. #13112796 | C2 | semidirect |
| 7. C13×#1331 | C2 | semidirect |
| 109. #1331 | D13 | semidirect |
| 266. C13 | #11645 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125412 | 2 |
| #13116633 | 2 |
| D13×#335 | 2 |
| #13112798 | 2 |
| #13112797 | 2 |
| #13112796 | 2 |
| C13×#1331 | 2 |
| #11645 | 13 |