Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
834 conjugacy classes of subgroups; only the 163 normal subgroups are shown.
This group has 834 conjugacy classes of subgroups — too many to draw. Only its 163 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. #13129331 | C2 | semidirect |
| 3. #13113991 | C2 | semidirect |
| 4. #13113929 | C2 | semidirect |
| 5. #13113574 | C2 | semidirect |
| 6. #13113292 | C2 | semidirect |
| 266. C13 | #18698 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13129331 | 2 |
| #13126223 | 2 |
| #13113991 | 2 |
| #13113929 | 2 |
| #13113574 | 2 |
| #13113292 | 2 |
| C13×#3131 | 2 |
| #18698 | 13 |