Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
710 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 710 conjugacy classes of subgroups — too many to draw. Only its 143 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. #13127468 | C2 | semidirect |
| 2. #13126501 | C2 | semidirect |
| 3. #13114298 | C2 | semidirect |
| 4. #13114277 | C2 | semidirect |
| 5. #13114082 | C2 | semidirect |
| 6. #13113898 | C2 | semidirect |
| 7. #13113722 | C2 | semidirect |
| 8. C8×Dic52 | C2 | semidirect |
| 9. C13×#1706 | C2 | semidirect |
| 124. Dic52 | D8 | semidirect |
| 129. #1706 | D13 | semidirect |
| 307. C13 | #19888 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13127468 | 2 |
| #13126501 | 2 |
| #13114298 | 2 |
| #13114277 | 2 |
| #13114082 | 2 |
| #13113898 | 2 |
| #13113722 | 2 |
| C8×Dic52 | 2 |
| C13×#1706 | 2 |
| #19888 | 13 |