Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
598 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 598 conjugacy classes of subgroups — too many to draw. Only its 85 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. #13125293 | C2 | semidirect |
| 3. #13113562 | C2 | semidirect |
| 4. #13113434 | C2 | semidirect |
| 5. #13113343 | C2 | semidirect |
| 6. #13112729 | C2 | semidirect |
| 7. C13×#2640 | C2 | semidirect |
| 128. #2640 | D13 | semidirect |
| 315. C13 | #10090 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125823 | 2 |
| #13125293 | 2 |
| #13113562 | 2 |
| #13113434 | 2 |
| #13113343 | 2 |
| #13112729 | 2 |
| C13×#2640 | 2 |
| #10090 | 13 |