Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
430 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 98 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. D13⋊#364 | C2 | semidirect |
| 3. #13130772 | C2 | semidirect |
| 4. #13129912 | C2 | semidirect |
| 12. C13×#443 | C4 | semidirect |
| 13. #11718857 | C4 | semidirect |
| 15. #11718556 | C4 | semidirect |
| 19. #11718361 | C4 | semidirect |
| 84. C13×Q16 | C4⋊C4 | semidirect |
| 86. C13×D8 | C4⋊C4 | semidirect |
| 104. Dic52 | C4⋊C4 | semidirect |
| 105. D104 | C4⋊C4 | semidirect |
| 174. #443 | #261 | semidirect |
| 267. Q16 | C4⋊#261 | semidirect |
| 274. D8 | C4⋊#261 | semidirect |
| 306. C13 | #12821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D13⋊#364 | 2 |
| #13131144 | 2 |
| #13130772 | 2 |
| #13129912 | 2 |
| D13×#443 | 2 |
| #12821 | 13 |