Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
454 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 454 conjugacy classes of subgroups — too many to draw. Only its 79 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. #13116521 | C2 | semidirect |
| 2. #13116501 | C2 | semidirect |
| 3. #13112993 | C2 | semidirect |
| 8. C2×C13×#127 | C4 | semidirect |
| 9. C13×#496 | C4 | semidirect |
| 13. C4×C13×M16 | C4 | semidirect |
| 18. #11718134 | C22 | semidirect |
| 19. #11718133 | C22 | semidirect |
| 139. C2×#127 | Dic13 | semidirect |
| 140. #496 | Dic13 | semidirect |
| 146. C4×M16 | Dic13 | semidirect |
| 251. C13 | #13579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #13116521 | 2 |
| #13116501 | 2 |
| #13112993 | 2 |
| C13×#3151 | 2 |
| #13579 | 13 |