Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
496 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 496 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 |
|---|---|---|
| 3. #13120957 | C2 | semidirect |
| 4. #13113554 | C2 | semidirect |
| 6. #13112730 | C2 | semidirect |
| 7. C13×#1528 | C2 | semidirect |
| 123. #1528 | D13 | semidirect |
| 291. C13 | #10093 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126026 | 2 |
| #13125230 | 2 |
| #13120957 | 2 |
| #13113554 | 2 |
| #13113345 | 2 |
| #13112730 | 2 |
| C13×#1528 | 2 |
| #10093 | 13 |