Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
334 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 67 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. C22×D208 | C2 | semidirect |
| 2. C2×D416 | C2 | semidirect |
| 3. #13116922 | C2 | semidirect |
| 4. #13113015 | C2 | semidirect |
| 5. C13×C22⋊C32 | C2 | semidirect |
| 12. C2×D208 | C22 | semidirect |
| 13. C2×C13×C32 | C22 | semidirect |
| 15. #11718096 | C22 | semidirect |
| 33. D208 | D4 | semidirect |
| 61. C22⋊C32 | D13 | semidirect |
| 90. C2×C32 | C2×D13 | semidirect |
| 95. C22×C13 | D32 | semidirect |
| 153. C13 | #13661 | semidirect |
| 183. C22 | D416 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D208 | 2 |
| C2×D416 | 2 |
| #13116922 | 2 |
| #13113015 | 2 |
| C13×C22⋊C32 | 2 |
| #13661 | 13 |