Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
338 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 107 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 |
|---|---|---|
| 19. #11718078 | C4 | semidirect |
| 21. #11718073 | C4 | semidirect |
| 226. C13 | #9579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115813 | 2 |
| #13113606 | 2 |
| #13113494 | 2 |
| #13113238 | 2 |
| #13112733 | 2 |
| #13112669 | 2 |
| C4×C13×C4⋊C8 | 2 |
| #9579 | 13 |