Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
406 conjugacy classes of subgroups; only the 128 normal subgroups are shown.
This group has 406 conjugacy classes of subgroups — too many to draw. Only its 128 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 |
|---|---|---|
| 21. C13×#322 | C4 | semidirect |
| 22. #11718047 | C4 | semidirect |
| 23. #11718046 | C4 | semidirect |
| 24. #11718046 | C4 | semidirect |
| 142. #322 | #261 | semidirect |
| 229. C13 | #8821 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13130772 | 2 |
| #13130771 | 2 |
| #13130757 | 2 |
| D13×#322 | 2 |
| #8821 | 13 |