Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
558 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 558 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 2. #14562030 | C2 | semidirect |
| 4. #14561468 | C2 | semidirect |
| 56. C2×Q8×C19 | M16 | semidirect |
| 84. C42×C19 | M16 | semidirect |
| 204. C19 | #8961 | semidirect |
| 209. C2×Q8 | #64520 | semidirect |
| 240. C42 | #64520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572676 | 2 |
| #14562030 | 2 |
| #14561956 | 2 |
| #14561468 | 2 |
| C4×C19×#124 | 2 |
| #8961 | 19 |