Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
924 conjugacy classes of subgroups; only the 179 normal subgroups are shown.
This group has 924 conjugacy classes of subgroups — too many to draw. Only its 179 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. #13126223 | C2 | semidirect |
| 2. #13125346 | C2 | semidirect |
| 3. #13114120 | C2 | semidirect |
| 4. #13114071 | C2 | semidirect |
| 5. #13113574 | C2 | semidirect |
| 6. #13113287 | C2 | semidirect |
| 277. C13 | #18701 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13126223 | 2 |
| #13125346 | 2 |
| #13114120 | 2 |
| #13114071 | 2 |
| #13113574 | 2 |
| #13113287 | 2 |
| C13×#3548 | 2 |
| #18701 | 13 |