Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
474 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 77 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. #13115302 | C2 | semidirect |
| 4. #13115018 | C2 | semidirect |
| 5. #13113357 | C2 | semidirect |
| 7. C13×#1293 | C2 | semidirect |
| 143. #1293 | D13 | semidirect |
| 357. C13 | #10558 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125594 | 2 |
| #13115302 | 2 |
| #13115297 | 2 |
| #13115018 | 2 |
| #13113357 | 2 |
| #13113353 | 2 |
| C13×#1293 | 2 |
| #10558 | 13 |