Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
416 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 24. C19×C4⋊Q8 | Q8 | semidirect |
| 25. C19×C4⋊Q8 | Q8 | semidirect |
| 180. C4⋊Q8 | Dic38 | semidirect |
| 181. C4⋊Q8 | Dic38 | 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 |
| #14564613 | 2 |
| #14562199 | 2 |
| #14561494 | 2 |
| #14561493 | 2 |
| #14561467 | 2 |
| C19×#1518 | 2 |
| #10363 | 19 |