Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
602 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 602 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14573576 | C2 | semidirect |
| 2. #14573571 | C2 | semidirect |
| 4. #14563710 | C2 | semidirect |
| 5. #14562163 | C2 | semidirect |
| 6. #14561544 | C2 | semidirect |
| 7. C19×#1510 | C2 | semidirect |
| 61. C2×C4⋊Dic19 | D4 | semidirect |
| 62. C2×C4⋊Dic19 | D4 | semidirect |
| 66. C19×C22⋊C8 | D4 | semidirect |
| 75. C22⋊(C19⋊C8) | D4 | semidirect |
| 194. #1510 | 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 |
|---|---|
| #14573576 | 2 |
| #14573571 | 2 |
| #14571657 | 2 |
| #14563710 | 2 |
| #14562163 | 2 |
| #14561544 | 2 |
| C19×#1510 | 2 |
| #9983 | 19 |