Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
464 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 464 conjugacy classes of subgroups — too many to draw. Only its 81 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. #13115305 | C2 | semidirect |
| 3. #13115040 | C2 | semidirect |
| 4. #13113408 | C2 | semidirect |
| 6. #13112741 | C2 | semidirect |
| 344. C13 | #10561 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13115305 | 2 |
| #13115275 | 2 |
| #13115040 | 2 |
| #13113408 | 2 |
| #13113196 | 2 |
| #13112741 | 2 |
| C13×#3193 | 2 |
| #10561 | 13 |