Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
460 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 3. #14563381 | C2 | semidirect |
| 4. #14562390 | C2 | semidirect |
| 5. #14562090 | C2 | semidirect |
| 7. C19×#1994 | C2 | semidirect |
| 9. #11926940 | C4 | semidirect |
| 10. #11926918 | C4 | semidirect |
| 11. #11926894 | C4 | semidirect |
| 12. #11926892 | C4 | semidirect |
| 92. C42×C19 | SD16 | semidirect |
| 143. #1994 | D19 | semidirect |
| 229. C19 | #9846 | semidirect |
| 269. C42 | #64527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574195 | 2 |
| #14564463 | 2 |
| #14563381 | 2 |
| #14562390 | 2 |
| #14562090 | 2 |
| #14562085 | 2 |
| C19×#1994 | 2 |
| #9846 | 19 |