Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
488 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 131 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. #13127237 | C2 | semidirect |
| 2. #13117030 | C2 | semidirect |
| 3. #13117018 | C2 | semidirect |
| 4. #13116990 | C2 | semidirect |
| 5. #13116940 | C2 | semidirect |
| 6. C4×D208 | C2 | semidirect |
| 7. #13116669 | C2 | semidirect |
| 8. #13116623 | C2 | semidirect |
| 9. C13×#2253 | C2 | semidirect |
| 98. #2253 | D13 | semidirect |
| 234. C13 | #33922 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127237 | 2 |
| #13117030 | 2 |
| #13117018 | 2 |
| #13116990 | 2 |
| #13116940 | 2 |
| C4×D208 | 2 |
| #13116669 | 2 |
| #13116623 | 2 |
| C13×#2253 | 2 |
| #33922 | 13 |