Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
300 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 300 conjugacy classes of subgroups — too many to draw. Only its 71 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. #13116988 | C2 | semidirect |
| 3. #13114240 | C2 | semidirect |
| 5. Q8⋊#6090 | C2 | semidirect |
| 6. #13112800 | C2 | semidirect |
| 209. C13 | #12385 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117059 | 2 |
| #13116988 | 2 |
| #13114240 | 2 |
| #13112882 | 2 |
| Q8⋊#6090 | 2 |
| #13112800 | 2 |
| C13×#3396 | 2 |
| #12385 | 13 |