Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
382 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 92. C42×C19 | Q16 | semidirect |
| 238. C19 | #10523 | semidirect |
| 281. C42 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574977 | 2 |
| #14564612 | 2 |
| #14563752 | 2 |
| #14562326 | 2 |
| #14562325 | 2 |
| #14561509 | 2 |
| C19×#1994 | 2 |
| #10523 | 19 |