Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
1386 conjugacy classes of subgroups; only the 243 normal subgroups are shown.
This group has 1386 conjugacy classes of subgroups — too many to draw. Only its 243 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. #13123465 | C2 | semidirect |
| 3. #13115682 | C2 | semidirect |
| 4. #13114759 | C2 | semidirect |
| 19. C2×#88064 | C22 | semidirect |
| 20. #11718779 | C22 | semidirect |
| 21. M16×Dic13 | C22 | semidirect |
| 254. C13 | #21798 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#88190 | 2 |
| #13123465 | 2 |
| #13115682 | 2 |
| #13114759 | 2 |
| #13114757 | 2 |
| C13×#1783 | 2 |
| #21798 | 13 |