Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
516 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 516 conjugacy classes of subgroups — too many to draw. Only its 125 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. C42×C19⋊C8 | C2 | semidirect |
| 4. #14562390 | C2 | semidirect |
| 5. #14562089 | C2 | semidirect |
| 9. #11926940 | C4 | semidirect |
| 10. #11926916 | C4 | semidirect |
| 11. #11926896 | C4 | semidirect |
| 12. #11926890 | C4 | semidirect |
| 89. C42×C19 | SD16 | semidirect |
| 142. C19⋊C8 | #104 | semidirect |
| 231. C19 | #9843 | semidirect |
| 271. C42 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574190 | 2 |
| #14564612 | 2 |
| C42×C19⋊C8 | 2 |
| #14562390 | 2 |
| #14562089 | 2 |
| #14562086 | 2 |
| C19×#1962 | 2 |
| #9843 | 19 |