Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
626 conjugacy classes of subgroups; only the 180 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 180 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. #13130935 | C2 | semidirect |
| 3. #13130891 | C2 | semidirect |
| 5. #13130770 | C2 | semidirect |
| 6. #13130765 | C2 | semidirect |
| 188. C13 | #23381 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130935 | 2 |
| #13130908 | 2 |
| #13130891 | 2 |
| #13130784 | 2 |
| #13130770 | 2 |
| #13130765 | 2 |
| #13118139 | 2 |
| #23381 | 13 |