Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
582 conjugacy classes of subgroups; only the 124 normal subgroups are shown.
This group has 582 conjugacy classes of subgroups — too many to draw. Only its 124 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 |
|---|---|---|
| 2. #13130573 | C2 | semidirect |
| 4. #13129679 | C2 | semidirect |
| 7. C22×D13⋊C8 | C4 | semidirect |
| 11. C2×#88112 | C4 | semidirect |
| 12. C2×#88111 | C4 | semidirect |
| 14. C2×C4×#1057 | C4 | semidirect |
| 20. #11718287 | C4 | semidirect |
| 21. #11718286 | C4 | semidirect |
| 122. C22×D13 | #97 | semidirect |
| 143. C2×Dic13 | #97 | semidirect |
| 155. #1057 | #99 | semidirect |
| 289. C13 | #8160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11719063 | 2 |
| #13130573 | 2 |
| #13130074 | 2 |
| #13129679 | 2 |
| #13114623 | 2 |
| #8160 | 13 |