Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
640 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 640 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 |
|---|---|---|
| 1. #14574786 | C2 | semidirect |
| 4. #14564611 | C2 | semidirect |
| 6. #14561467 | C2 | semidirect |
| 7. C19×#1549 | C2 | semidirect |
| 158. #1549 | D19 | semidirect |
| 247. C19 | #10292 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574786 | 2 |
| #14574578 | 2 |
| #14571993 | 2 |
| #14564611 | 2 |
| #14562304 | 2 |
| #14561467 | 2 |
| C19×#1549 | 2 |
| #10292 | 19 |