Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
500 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 91 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. C4×#88074 | C2 | semidirect |
| 2. #13113154 | C2 | semidirect |
| 3. #13112857 | C2 | semidirect |
| 4. #13112833 | C2 | semidirect |
| 6. C2×C13×#124 | C4 | semidirect |
| 9. C13×#393 | C4 | semidirect |
| 12. C13×#392 | C4 | semidirect |
| 16. C13×#383 | C4 | semidirect |
| 163. C2×#124 | Dic13 | semidirect |
| 168. #393 | Dic13 | semidirect |
| 171. #392 | Dic13 | semidirect |
| 175. #383 | Dic13 | semidirect |
| 302. C13 | #11730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×#88074 | 2 |
| #13113154 | 2 |
| #13112857 | 2 |
| #13112833 | 2 |
| C13×#2631 | 2 |
| #11730 | 13 |