Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
484 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 15. C22×Q16×C19 | C4 | semidirect |
| 22. C2×C19×#107 | C4 | semidirect |
| 23. C2×C19×#103 | C4 | semidirect |
| 161. C22×Q16 | Dic19 | semidirect |
| 169. C2×#107 | Dic19 | semidirect |
| 170. C2×#103 | Dic19 | semidirect |
| 219. C19 | #9817 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563673 | 2 |
| #14563411 | 2 |
| #14562155 | 2 |
| #14561999 | 2 |
| C2×C19×#467 | 2 |
| #9817 | 19 |