Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
246 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 246 conjugacy classes of subgroups — too many to draw. Only its 67 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. #13116668 | C2 | semidirect |
| 4. #13112907 | C2 | semidirect |
| 5. #13112885 | C2 | semidirect |
| 6. #13112881 | C2 | semidirect |
| 7. C13×#1669 | C2 | semidirect |
| 74. #6090 | D8 | semidirect |
| 77. #1669 | D13 | semidirect |
| 191. C13 | #12435 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117093 | 2 |
| #13116668 | 2 |
| #13114191 | 2 |
| #13112907 | 2 |
| #13112885 | 2 |
| #13112881 | 2 |
| C13×#1669 | 2 |
| #12435 | 13 |