Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
674 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 674 conjugacy classes of subgroups — too many to draw. Only its 85 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. #14569999 | C2 | semidirect |
| 2. #14564870 | C2 | semidirect |
| 3. #14564708 | C2 | semidirect |
| 4. #14564705 | C2 | semidirect |
| 5. #14561457 | C2 | semidirect |
| 6. #14561455 | C2 | semidirect |
| 7. C19×#1270 | C2 | semidirect |
| 75. C2×D4×C19 | D8 | semidirect |
| 138. C4⋊Dic19 | D8 | semidirect |
| 220. #1270 | D19 | semidirect |
| 330. C19 | #7737 | semidirect |
| 365. C2×D4 | D152 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14569999 | 2 |
| #14564870 | 2 |
| #14564708 | 2 |
| #14564705 | 2 |
| #14561457 | 2 |
| #14561455 | 2 |
| C19×#1270 | 2 |
| #7737 | 19 |