Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
286 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 61 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. #13116970 | C2 | semidirect |
| 3. #13114356 | C2 | semidirect |
| 4. #13112888 | C2 | semidirect |
| 5. #13112804 | C2 | semidirect |
| 6. #13112795 | C2 | semidirect |
| 7. C13×#2255 | C2 | semidirect |
| 96. #2255 | D13 | semidirect |
| 234. C13 | #12400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127440 | 2 |
| #13116970 | 2 |
| #13114356 | 2 |
| #13112888 | 2 |
| #13112804 | 2 |
| #13112795 | 2 |
| C13×#2255 | 2 |
| #12400 | 13 |