Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
620 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 620 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13125774 | C2 | semidirect |
| 3. #13115675 | C2 | semidirect |
| 4. #13113431 | C2 | semidirect |
| 5. #13113253 | C2 | semidirect |
| 6. #13112725 | C2 | semidirect |
| 7. C13×#3254 | C2 | semidirect |
| 129. #3254 | D13 | semidirect |
| 323. C13 | #10105 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13125289 | 2 |
| #13115675 | 2 |
| #13113431 | 2 |
| #13113253 | 2 |
| #13112725 | 2 |
| C13×#3254 | 2 |
| #10105 | 13 |