Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1074 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 1074 conjugacy classes of subgroups — too many to draw. Only its 143 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. #14564099 | C2 | semidirect |
| 2. #14563933 | C2 | semidirect |
| 3. #14561995 | C2 | semidirect |
| 4. #14561973 | C2 | semidirect |
| 6. C22×#64520 | C22 | semidirect |
| 8. #11926508 | C22 | semidirect |
| 10. C2×C22⋊(C19⋊C8) | C22 | semidirect |
| 162. C23×C19 | #100 | semidirect |
| 196. C2×C4×C19 | #100 | semidirect |
| 316. C19 | #8536 | semidirect |
| 400. C23 | #10597290 | semidirect |
| 434. C2×C4 | #10597290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564099 | 2 |
| #14563933 | 2 |
| #14561995 | 2 |
| #14561973 | 2 |
| C19×#3496 | 2 |
| #8536 | 19 |