Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
694 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 694 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 |
|---|---|---|
| 1. #14572676 | C2 | semidirect |
| 2. #14562026 | C2 | semidirect |
| 3. #14561956 | C2 | semidirect |
| 4. #14561468 | C2 | semidirect |
| 50. C4⋊(C19⋊C8) | D4 | semidirect |
| 65. C2×D4×C19 | M16 | semidirect |
| 90. C42×C19 | M16 | semidirect |
| 221. C19 | #8963 | semidirect |
| 234. C2×D4 | #64520 | semidirect |
| 262. C42 | #64520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572676 | 2 |
| #14562026 | 2 |
| #14561956 | 2 |
| #14561468 | 2 |
| C4×C19×#127 | 2 |
| #8963 | 19 |