Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
780 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 89 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. #13118481 | C2 | semidirect |
| 3. #13114759 | C2 | semidirect |
| 4. #13113356 | C2 | semidirect |
| 6. #13112721 | C2 | semidirect |
| 363. C13 | #10330 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13118495 | 2 |
| #13118481 | 2 |
| #13114759 | 2 |
| #13113356 | 2 |
| #13113352 | 2 |
| #13112721 | 2 |
| C13×#3193 | 2 |
| #10330 | 13 |