Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
262 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13117085 | C2 | semidirect |
| 2. #13116667 | C2 | semidirect |
| 3. #13114192 | C2 | semidirect |
| 4. #13114188 | C2 | semidirect |
| 5. #13112909 | C2 | semidirect |
| 6. #13112883 | C2 | semidirect |
| 7. C13×#1361 | C2 | semidirect |
| 75. #6090 | D8 | semidirect |
| 82. #1361 | D13 | semidirect |
| 199. C13 | #12433 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117085 | 2 |
| #13116667 | 2 |
| #13114192 | 2 |
| #13114188 | 2 |
| #13112909 | 2 |
| #13112883 | 2 |
| C13×#1361 | 2 |
| #12433 | 13 |