Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 105 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. #13117799 | C2 | semidirect |
| 4. #13113230 | C2 | semidirect |
| 5. #13112739 | C2 | semidirect |
| 6. #13112695 | C2 | semidirect |
| 14. #11718751 | C4 | semidirect |
| 15. #11718736 | C4 | semidirect |
| 320. C13 | #9182 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13124304 | 2 |
| #13117799 | 2 |
| #13113396 | 2 |
| #13113230 | 2 |
| #13112739 | 2 |
| #13112695 | 2 |
| C13×#1502 | 2 |
| #9182 | 13 |