Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
374 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 7. C22⋊(C19⋊C16) | C4 | semidirect |
| 11. C2×C19×#108 | C4 | semidirect |
| 118. C2×#108 | Dic19 | semidirect |
| 151. C19 | #7264 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14565246 | 2 |
| C2×#11926307 | 2 |
| C19×#1810 | 2 |
| #7264 | 19 |