Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
304 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 72 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. #13130414 | C2 | semidirect |
| 4. #13130052 | C2 | semidirect |
| 5. #13129722 | C2 | semidirect |
| 6. #13129667 | C2 | semidirect |
| 240. C13 | #9588 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130414 | 2 |
| #13130182 | 2 |
| #13130156 | 2 |
| #13130052 | 2 |
| #13129722 | 2 |
| #13129667 | 2 |
| #13113495 | 2 |
| #9588 | 13 |