Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
582 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 582 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 |
|---|---|---|
| 1. #14572662 | C2 | semidirect |
| 3. C4×#10597263 | C2 | semidirect |
| 4. #14562151 | C2 | semidirect |
| 5. #14561489 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1507 | C2 | semidirect |
| 15. #11926482 | C4 | semidirect |
| 16. #11926479 | C4 | semidirect |
| 18. #11926458 | C4 | semidirect |
| 20. #11926452 | C4 | semidirect |
| 65. C19×C22⋊C8 | D4 | semidirect |
| 74. C22⋊(C19⋊C8) | D4 | semidirect |
| 210. #1507 | D19 | semidirect |
| 321. C22⋊C8 | C22⋊D19 | semidirect |
| 330. C19 | #9185 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572662 | 2 |
| #14569520 | 2 |
| C4×#10597263 | 2 |
| #14562151 | 2 |
| #14561489 | 2 |
| #14561488 | 2 |
| C19×#1507 | 2 |
| #9185 | 19 |