Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1078 conjugacy classes of subgroups; only the 219 normal subgroups are shown.
This group has 1078 conjugacy classes of subgroups — too many to draw. Only its 219 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 |
|---|---|---|
| 2. C2×#11718364 | C2 | semidirect |
| 4. #13115988 | C2 | semidirect |
| 5. #13115805 | C2 | semidirect |
| 155. C22×C13 | #491 | semidirect |
| 240. C13 | #25912 | semidirect |
| 276. C22 | #11718364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88124 | 2 |
| C2×#11718364 | 2 |
| #13123188 | 2 |
| #13115988 | 2 |
| #13115805 | 2 |
| #13115141 | 2 |
| C13×#1749 | 2 |
| #25912 | 13 |