Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
554 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 554 conjugacy classes of subgroups — too many to draw. Only its 109 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. #13123919 | C2 | semidirect |
| 3. #13114829 | C2 | semidirect |
| 5. #13112738 | C2 | semidirect |
| 6. #13112737 | C2 | semidirect |
| 293. C13 | #9406 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123919 | 2 |
| #13119839 | 2 |
| #13114829 | 2 |
| #13113504 | 2 |
| #13112738 | 2 |
| #13112737 | 2 |
| C13×#1545 | 2 |
| #9406 | 13 |