Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
566 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 566 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 |
|---|---|---|
| 1. #13126022 | C2 | semidirect |
| 3. #13119997 | C2 | semidirect |
| 4. #13113437 | C2 | semidirect |
| 5. #13113280 | C2 | semidirect |
| 6. #13112692 | C2 | semidirect |
| 7. C13×#1980 | C2 | semidirect |
| 140. #1980 | D13 | semidirect |
| 352. C13 | #10005 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126022 | 2 |
| #13124923 | 2 |
| #13119997 | 2 |
| #13113437 | 2 |
| #13113280 | 2 |
| #13112692 | 2 |
| C13×#1980 | 2 |
| #10005 | 13 |