Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
476 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 476 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 |
|---|---|---|
| 127. C2×C19⋊C8 | Q16 | semidirect |
| 264. C19 | #10037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574157 | 2 |
| #14573675 | 2 |
| #14573670 | 2 |
| #14564574 | 2 |
| #14562037 | 2 |
| #14561465 | 2 |
| C19×#1481 | 2 |
| #10037 | 19 |