Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
578 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 578 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14572272 | C2 | semidirect |
| 3. #14562303 | C2 | semidirect |
| 4. #14561947 | C2 | semidirect |
| 5. #14561495 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#1545 | C2 | semidirect |
| 58. C19×C4⋊C8 | D4 | semidirect |
| 69. C4⋊(C19⋊C8) | D4 | semidirect |
| 184. #1545 | D19 | semidirect |
| 277. C4⋊C8 | C22⋊D19 | semidirect |
| 287. C19 | #9198 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572272 | 2 |
| #14569386 | 2 |
| #14562303 | 2 |
| #14561947 | 2 |
| #14561495 | 2 |
| #14561494 | 2 |
| C19×#1545 | 2 |
| #9198 | 19 |