Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 566 conjugacy classes of subgroups — too many to draw. Only its 99 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. C2×#11718570 | C2 | semidirect |
| 2. C22×#88067 | C2 | semidirect |
| 4. C2×#11718089 | C2 | semidirect |
| 5. #13115749 | C2 | semidirect |
| 6. #13112926 | C2 | semidirect |
| 7. C2×C13×#361 | C2 | semidirect |
| 58. C2×Dic52 | D4 | semidirect |
| 66. C13×M32 | D4 | semidirect |
| 77. C2×#6090 | D4 | semidirect |
| 142. C2×#361 | D13 | semidirect |
| 264. M32 | C22⋊D13 | semidirect |
| 339. C13 | #13338 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718570 | 2 |
| C22×#88067 | 2 |
| #13125317 | 2 |
| C2×#11718089 | 2 |
| #13115749 | 2 |
| #13112926 | 2 |
| C2×C13×#361 | 2 |
| #13338 | 13 |