Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
228 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 67 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 |
|---|---|---|
| 1. #14561715 | C2 | semidirect |
| 2. #14561480 | C2 | semidirect |
| 14. C2×Q16×C19 | C8 | semidirect |
| 16. C2×D8×C19 | C8 | semidirect |
| 120. C2×Q16 | C19⋊C8 | semidirect |
| 122. C2×D8 | C19⋊C8 | semidirect |
| 139. C19 | #7109 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14561715 | 2 |
| #14561480 | 2 |
| C19×#1975 | 2 |
| #7109 | 19 |