Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
456 conjugacy classes of subgroups; only the 82 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 82 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. #13130979 | C2 | semidirect |
| 3. #13130351 | C2 | semidirect |
| 5. #13129744 | C2 | semidirect |
| 6. #13129720 | C2 | semidirect |
| 164. D52 | #101 | semidirect |
| 333. C13 | #9357 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13131763 | 2 |
| #13130979 | 2 |
| #13130351 | 2 |
| #13130173 | 2 |
| #13129744 | 2 |
| #13129720 | 2 |
| #13124649 | 2 |
| #9357 | 13 |