Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
416 conjugacy classes of subgroups; only the 76 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 76 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. #13131741 | C2 | semidirect |
| 2. #13130228 | C2 | semidirect |
| 5. #13129693 | C2 | semidirect |
| 6. #13129659 | C2 | semidirect |
| 18. C13×#486 | C4 | semidirect |
| 19. #11718754 | C4 | semidirect |
| 20. #11718737 | C4 | semidirect |
| 23. #11718360 | C4 | semidirect |
| 157. #486 | #261 | semidirect |
| 277. C13 | #9282 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131741 | 2 |
| #13130228 | 2 |
| #13130225 | 2 |
| #13130196 | 2 |
| #13129693 | 2 |
| #13129659 | 2 |
| #13125793 | 2 |
| #9282 | 13 |