Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
564 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 97 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. #13125774 | C2 | semidirect |
| 3. #13115660 | C2 | semidirect |
| 4. #13113400 | C2 | semidirect |
| 5. #13113396 | C2 | semidirect |
| 6. #13112681 | C2 | semidirect |
| 7. C13×#3135 | C2 | semidirect |
| 128. #3135 | D13 | semidirect |
| 321. C13 | #10219 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125774 | 2 |
| #13125751 | 2 |
| #13115660 | 2 |
| #13113400 | 2 |
| #13113396 | 2 |
| #13112681 | 2 |
| C13×#3135 | 2 |
| #10219 | 13 |