Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
560 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 560 conjugacy classes of subgroups — too many to draw. Only its 95 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. #14573674 | C2 | semidirect |
| 4. #14564615 | C2 | semidirect |
| 6. #14561463 | C2 | semidirect |
| 7. C19×#1487 | C2 | semidirect |
| 183. #1487 | D19 | semidirect |
| 287. C19 | #10016 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573674 | 2 |
| #14573644 | 2 |
| #14566918 | 2 |
| #14564615 | 2 |
| #14562059 | 2 |
| #14561463 | 2 |
| C19×#1487 | 2 |
| #10016 | 19 |