Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
420 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 420 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 2. #14564612 | C2 | semidirect |
| 3. #14563752 | C2 | semidirect |
| 4. #14562326 | C2 | semidirect |
| 6. #14561509 | C2 | semidirect |
| 98. C42×C19 | SD16 | semidirect |
| 257. C19 | #10521 | semidirect |
| 304. C42 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574951 | 2 |
| #14564612 | 2 |
| #14563752 | 2 |
| #14562326 | 2 |
| #14562312 | 2 |
| #14561509 | 2 |
| C19×#1962 | 2 |
| #10521 | 19 |