Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
550 conjugacy classes of subgroups; only the 106 normal subgroups are shown.
This group has 550 conjugacy classes of subgroups — too many to draw. Only its 106 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 |
|---|---|---|
| 21. C13×#500 | C4 | semidirect |
| 22. #11718739 | C4 | semidirect |
| 23. #11718739 | C4 | semidirect |
| 27. #11718343 | C4 | semidirect |
| 209. #500 | #261 | semidirect |
| 367. C13 | #9058 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131365 | 2 |
| #13131015 | 2 |
| #13131002 | 2 |
| D13⋊#332 | 2 |
| #13129671 | 2 |
| D13×#500 | 2 |
| #9058 | 13 |