Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
358 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 96 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. #13131183 | C2 | semidirect |
| 4. #13129898 | C2 | semidirect |
| 11. C2×C13×M32 | C4 | semidirect |
| 12. C22×#6090 | C4 | semidirect |
| 15. C2×#88038 | C4 | semidirect |
| 17. C2×C16×D13 | C4 | semidirect |
| 123. C2×M32 | #261 | semidirect |
| 218. C13 | #12832 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131183 | 2 |
| #13130720 | 2 |
| #13130718 | 2 |
| #13129898 | 2 |
| C2×#11718568 | 2 |
| #12832 | 13 |