Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
460 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 111 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. #13115779 | C2 | semidirect |
| 4. C4×#88047 | C2 | semidirect |
| 5. #13113336 | C2 | semidirect |
| 6. #13113126 | C2 | semidirect |
| 13. #11718754 | C4 | semidirect |
| 14. #11718740 | C4 | semidirect |
| 15. #11718737 | C4 | semidirect |
| 16. #11718731 | C4 | semidirect |
| 171. #1055 | #104 | semidirect |
| 315. C13 | #9722 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13125391 | 2 |
| #13115779 | 2 |
| #13115756 | 2 |
| C4×#88047 | 2 |
| #13113336 | 2 |
| #13113126 | 2 |
| C13×#1502 | 2 |
| #9722 | 13 |