Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
470 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 470 conjugacy classes of subgroups — too many to draw. Only its 90 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. #13131805 | C2 | semidirect |
| 2. #13131158 | C2 | semidirect |
| 3. #13130719 | C2 | semidirect |
| 4. #13129909 | C2 | semidirect |
| 15. C13×#470 | C4 | semidirect |
| 16. #11718850 | C4 | semidirect |
| 17. #11718796 | C4 | semidirect |
| 19. #11718526 | C4 | semidirect |
| 58. #88098 | D4 | semidirect |
| 166. #470 | #261 | semidirect |
| 293. C13 | #13077 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131805 | 2 |
| #13131158 | 2 |
| #13130719 | 2 |
| #13129909 | 2 |
| #13124500 | 2 |
| #13077 | 13 |