Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
682 conjugacy classes of subgroups; only the 187 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 187 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×Dic104 | C2 | semidirect |
| 4. #13116945 | C2 | direct (N × H) |
| 5. C2×#11718084 | C2 | semidirect |
| 6. C2×C13×#367 | C2 | semidirect |
| 15. C2×Dic104 | C22 | semidirect |
| 20. C13×#367 | C22 | semidirect |
| 21. #11718084 | C22 | semidirect |
| 84. C2×#367 | D13 | semidirect |
| 123. #367 | C2×D13 | semidirect |
| 163. C2×C13 | #2219 | semidirect |
| 198. C13 | C2×#2219 | semidirect |
| 236. C2 | #13116945 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic104 | 2 |
| C22×#88038 | 2 |
| C2×#11718548 | 2 |
| #13116945 | 2 |
| C2×#11718084 | 2 |
| C2×C13×#367 | 2 |
| C2×#2219 | 13 |