Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
268 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 268 conjugacy classes of subgroups — too many to draw. Only its 69 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. #13117086 | C2 | semidirect |
| 2. C16×D52 | C2 | semidirect |
| 3. #13114192 | C2 | semidirect |
| 4. #13112881 | C2 | semidirect |
| 5. C13×#1371 | C2 | semidirect |
| 54. C13×C16 | D8 | semidirect |
| 59. #1371 | D13 | semidirect |
| 73. D52 | D16 | semidirect |
| 147. C16 | D104 | semidirect |
| 148. C13 | #12430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117086 | 2 |
| C16×D52 | 2 |
| #13114192 | 2 |
| #13112881 | 2 |
| C13×#1371 | 2 |
| #12430 | 13 |