Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14573575 | C2 | semidirect |
| 3. #14563712 | C2 | semidirect |
| 4. #14562165 | C2 | semidirect |
| 5. #14562164 | C2 | semidirect |
| 6. #14561544 | C2 | semidirect |
| 7. C19×#3094 | C2 | semidirect |
| 49. C2×C4⋊C4×C19 | D4 | semidirect |
| 50. C2×C4⋊C4×C19 | D4 | semidirect |
| 70. C19×C22⋊C8 | D4 | semidirect |
| 77. C22⋊(C19⋊C8) | D4 | semidirect |
| 190. #3094 | D19 | semidirect |
| 282. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 283. C2×C4⋊C4 | C22⋊D19 | semidirect |
| 303. C22⋊C8 | C22⋊D19 | semidirect |
| 309. C19 | #9983 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573575 | 2 |
| #14571657 | 2 |
| #14563712 | 2 |
| #14562165 | 2 |
| #14562164 | 2 |
| #14561544 | 2 |
| C19×#3094 | 2 |
| #9983 | 19 |