Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
724 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 724 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 |
|---|---|---|
| 1. C2×#11718137 | C2 | semidirect |
| 2. #13114824 | C2 | semidirect |
| 3. C4×#88074 | C2 | semidirect |
| 5. C2×C13×#127 | C4 | semidirect |
| 12. C13×#390 | C4 | semidirect |
| 13. C4×C13×C4⋊C4 | C4 | semidirect |
| 52. #88074 | D4 | semidirect |
| 165. C2×#127 | Dic13 | semidirect |
| 174. #390 | Dic13 | semidirect |
| 176. C4×C4⋊C4 | Dic13 | semidirect |
| 211. C4×C13 | #353 | semidirect |
| 309. C13 | #13223 | semidirect |
| 395. C4 | #11718137 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718137 | 2 |
| #13114824 | 2 |
| C4×#88074 | 2 |
| C13×#2541 | 2 |
| #13223 | 13 |