Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
336 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 17. C19×#330 | C4 | semidirect |
| 18. C19×#330 | C4 | semidirect |
| 19. C19×#330 | C4 | semidirect |
| 112. #330 | Dic19 | semidirect |
| 113. #330 | Dic19 | semidirect |
| 114. #330 | Dic19 | semidirect |
| 141. C19 | #8919 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572741 | 2 |
| #14564617 | 2 |
| #14562402 | 2 |
| #14561529 | 2 |
| C19×#1526 | 2 |
| #8919 | 19 |