Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 71 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. C2×#11718111 | C2 | semidirect |
| 2. #13116922 | C2 | semidirect |
| 3. #13113014 | C2 | semidirect |
| 4. C22⋊#88034 | C2 | semidirect |
| 5. C22×C13×D16 | C2 | semidirect |
| 12. C2×D208 | C22 | semidirect |
| 15. #11718096 | C22 | semidirect |
| 16. C2×#88034 | C22 | semidirect |
| 27. C13×D16 | D4 | semidirect |
| 57. C22×D16 | D13 | semidirect |
| 99. C22×C13 | D32 | semidirect |
| 119. D16 | C22⋊D13 | semidirect |
| 153. C13 | #13661 | semidirect |
| 183. C22 | #11718111 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718111 | 2 |
| #13116922 | 2 |
| #13113014 | 2 |
| C22⋊#88034 | 2 |
| C22×C13×D16 | 2 |
| #13661 | 13 |