Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
152 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 152 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 6. C2×C19×Q32 | C4 | semidirect |
| 9. C19×#366 | C4 | semidirect |
| 70. C2×Q32 | Dic19 | semidirect |
| 75. #366 | Dic19 | semidirect |
| 95. C19 | #7419 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22⋊(C19⋊C32) | 2 |
| #14561727 | 2 |
| C19×#2216 | 2 |
| #7419 | 19 |