Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
284 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 63 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. #13117153 | C2 | semidirect |
| 2. #13116944 | C2 | semidirect |
| 3. #13113023 | C2 | semidirect |
| 4. #13112976 | C2 | semidirect |
| 13. C2×Dic104 | C22 | semidirect |
| 16. #11718097 | C22 | semidirect |
| 18. #11718091 | C22 | semidirect |
| 177. C13 | #13668 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13117153 | 2 |
| #13116944 | 2 |
| #13113023 | 2 |
| #13112976 | 2 |
| C13×#3414 | 2 |
| #13668 | 13 |