Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
426 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 121. C19⋊C8 | #101 | semidirect |
| 198. C19 | #9794 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926940 | 2 |
| #14564479 | 2 |
| #14562390 | 2 |
| #14562320 | 2 |
| #14562308 | 2 |
| M16×C19⋊C8 | 2 |
| C19×#1997 | 2 |
| #9794 | 19 |