Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
572 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 83 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. #13124958 | C2 | semidirect |
| 3. #13120324 | C2 | semidirect |
| 4. #13115755 | C2 | semidirect |
| 5. #13113433 | C2 | semidirect |
| 6. #13112693 | C2 | semidirect |
| 7. C13×#1491 | C2 | semidirect |
| 144. #1491 | D13 | semidirect |
| 354. C13 | #10006 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125825 | 2 |
| #13124958 | 2 |
| #13120324 | 2 |
| #13115755 | 2 |
| #13113433 | 2 |
| #13112693 | 2 |
| C13×#1491 | 2 |
| #10006 | 13 |