Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
416 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 39. #10597315 | Q8 | semidirect |
| 40. #10597315 | Q8 | semidirect |
| 209. C19 | #10363 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572011 | 2 |
| #14564611 | 2 |
| #14562200 | 2 |
| #14562198 | 2 |
| #14561495 | 2 |
| #14561467 | 2 |
| C19×#1286 | 2 |
| #10363 | 19 |