Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
400 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 113 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. #13116624 | C2 | semidirect |
| 3. C2×#11718081 | C2 | semidirect |
| 6. #13112933 | C2 | semidirect |
| 7. C13×#1387 | C2 | semidirect |
| 22. #11718107 | C4 | semidirect |
| 45. C13×M32 | C2×C4 | semidirect |
| 60. C2×#6090 | C2×C4 | semidirect |
| 110. #1387 | D13 | semidirect |
| 196. M32 | C4×D13 | semidirect |
| 261. C13 | #12925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123432 | 2 |
| #13116624 | 2 |
| C2×#11718081 | 2 |
| C2×#11718107 | 2 |
| #13114897 | 2 |
| #13112933 | 2 |
| C13×#1387 | 2 |
| #12925 | 13 |