Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
440 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 440 conjugacy classes of subgroups — too many to draw. Only its 73 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. #13116508 | C2 | semidirect |
| 2. #13116486 | C2 | semidirect |
| 3. #13115384 | C2 | semidirect |
| 4. #13115364 | C2 | semidirect |
| 5. #13115121 | C2 | semidirect |
| 6. #13112965 | C2 | semidirect |
| 330. C13 | #13432 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116508 | 2 |
| #13116486 | 2 |
| #13115384 | 2 |
| #13115364 | 2 |
| #13115121 | 2 |
| #13112965 | 2 |
| C13×#3199 | 2 |
| #13432 | 13 |