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. C16×D52 | C2 | semidirect |
| 2. #13114188 | C2 | semidirect |
| 3. #13112908 | C2 | semidirect |
| 4. #13112882 | C2 | semidirect |
| 5. C13×#2246 | C2 | semidirect |
| 54. C13×C16 | D8 | semidirect |
| 56. #2246 | D13 | semidirect |
| 73. D52 | D16 | semidirect |
| 147. C16 | #6104 | semidirect |
| 148. C13 | #12430 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C16×D52 | 2 |
| #13114188 | 2 |
| #13112908 | 2 |
| #13112882 | 2 |
| C13×#2246 | 2 |
| #12430 | 13 |