Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
478 conjugacy classes of subgroups; only the 80 normal subgroups are shown.
This group has 478 conjugacy classes of subgroups — too many to draw. Only its 80 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. #13131526 | C2 | semidirect |
| 2. #13130742 | C2 | semidirect |
| 5. #13129708 | C2 | semidirect |
| 6. #13129678 | C2 | semidirect |
| 19. C2×C13×#102 | C4 | semidirect |
| 20. C2×#88072 | C4 | semidirect |
| 22. C2×#88058 | C4 | semidirect |
| 23. C2×#88048 | C4 | semidirect |
| 207. C2×#102 | #261 | semidirect |
| 361. C13 | #9242 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131526 | 2 |
| #13130742 | 2 |
| #13130232 | 2 |
| #13130111 | 2 |
| #13129708 | 2 |
| #13129678 | 2 |
| C2×#11718445 | 2 |
| #9242 | 13 |