Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
460 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 460 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14562390 | C2 | semidirect |
| 3. #14562313 | C2 | semidirect |
| 4. #14562085 | C2 | semidirect |
| 5. C2×D4⋊(C19⋊C8) | C2 | semidirect |
| 6. #14561509 | C2 | semidirect |
| 7. C19×#1800 | C2 | semidirect |
| 171. #1800 | D19 | semidirect |
| 269. C19 | #10457 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573099 | 2 |
| #14562390 | 2 |
| #14562313 | 2 |
| #14562085 | 2 |
| C2×D4⋊(C19⋊C8) | 2 |
| #14561509 | 2 |
| C19×#1800 | 2 |
| #10457 | 19 |