Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
386 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 386 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 |
|---|---|---|
| 2. #13115559 | C2 | semidirect |
| 3. #13113491 | C2 | semidirect |
| 5. #13113336 | C2 | semidirect |
| 7. C13×#1275 | C2 | semidirect |
| 128. #1275 | D13 | semidirect |
| 309. C13 | #10547 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125182 | 2 |
| #13115559 | 2 |
| #13113491 | 2 |
| #13113483 | 2 |
| #13113336 | 2 |
| #13113332 | 2 |
| C13×#1275 | 2 |
| #10547 | 13 |