Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
552 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13117045 | C2 | semidirect |
| 3. #13116944 | C2 | semidirect |
| 4. #13116927 | C2 | semidirect |
| 5. #13116772 | C2 | semidirect |
| 211. C13 | #33768 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124491 | 2 |
| #13117045 | 2 |
| #13116944 | 2 |
| #13116927 | 2 |
| #13116772 | 2 |
| C13×#2113 | 2 |
| #33768 | 13 |