Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
716 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 716 conjugacy classes of subgroups — too many to draw. Only its 109 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 |
|---|---|---|
| 4. #13114771 | C2 | semidirect |
| 5. #13112704 | C2 | semidirect |
| 6. #13112703 | C2 | semidirect |
| 7. C13×#1787 | C2 | semidirect |
| 14. #11718892 | C4 | semidirect |
| 16. #11718890 | C4 | semidirect |
| 145. #1787 | D13 | semidirect |
| 382. C13 | #9471 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13123862 | 2 |
| #13118195 | 2 |
| #13114821 | 2 |
| #13114771 | 2 |
| #13112704 | 2 |
| #13112703 | 2 |
| C13×#1787 | 2 |
| #9471 | 13 |