Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
400 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 47. #10597315 | Q8 | semidirect |
| 246. C19 | #10359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14571907 | 2 |
| #14564608 | 2 |
| #14564607 | 2 |
| #14564455 | 2 |
| #14561517 | 2 |
| C19×#1295 | 2 |
| #10359 | 19 |