Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
300 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 3. #13116985 | C2 | semidirect |
| 5. Q8⋊#6090 | C2 | semidirect |
| 6. #13112799 | C2 | semidirect |
| 7. C13×#1676 | C2 | semidirect |
| 87. #1676 | D13 | semidirect |
| 209. C13 | #12385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127849 | 2 |
| #13117061 | 2 |
| #13116985 | 2 |
| #13112881 | 2 |
| Q8⋊#6090 | 2 |
| #13112799 | 2 |
| C13×#1676 | 2 |
| #12385 | 13 |