Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
532 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 532 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 |
|---|---|---|
| 4. #14562155 | C2 | semidirect |
| 5. #14561489 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1508 | C2 | semidirect |
| 15. #11926475 | C4 | semidirect |
| 17. #11926470 | C4 | semidirect |
| 18. #11926463 | C4 | semidirect |
| 20. #11926455 | C4 | semidirect |
| 197. #1508 | D19 | semidirect |
| 310. C19 | #9183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14569553 | 2 |
| C4×#10597263 | 2 |
| #14562155 | 2 |
| #14561489 | 2 |
| #14561488 | 2 |
| C19×#1508 | 2 |
| #9183 | 19 |