Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
490 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 490 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 |
|---|---|---|
| 115. C22⋊C4×C19 | Q16 | semidirect |
| 308. C19 | #10566 | semidirect |
| 370. C22⋊C4 | #64528 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574407 | 2 |
| #14564620 | 2 |
| #14564059 | 2 |
| #14564056 | 2 |
| #14563815 | 2 |
| #14561502 | 2 |
| C19×#1996 | 2 |
| #10566 | 19 |