Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
894 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 894 conjugacy classes of subgroups — too many to draw. Only its 83 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. #14572895 | C2 | semidirect |
| 2. #14568788 | C2 | semidirect |
| 4. #14562169 | C2 | semidirect |
| 5. #14561961 | C2 | semidirect |
| 6. #14561488 | C2 | semidirect |
| 7. C19×#1789 | C2 | semidirect |
| 46. C22×Dic38 | D4 | semidirect |
| 49. C2×C42×C19 | D4 | semidirect |
| 66. C2×C4⋊Dic19 | D4 | semidirect |
| 85. C22⋊(C19⋊C8) | D4 | semidirect |
| 234. #1789 | D19 | semidirect |
| 345. C2×C42 | C22⋊D19 | semidirect |
| 359. C19 | #9942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572895 | 2 |
| #14568788 | 2 |
| #14566950 | 2 |
| #14562169 | 2 |
| #14561961 | 2 |
| #14561488 | 2 |
| C19×#1789 | 2 |
| #9942 | 19 |