Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
890 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 890 conjugacy classes of subgroups — too many to draw. Only its 113 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. C2×#11926700 | C2 | semidirect |
| 4. C2×#11926282 | C2 | semidirect |
| 6. #14561513 | C2 | semidirect |
| 7. C19×#1787 | C2 | semidirect |
| 88. C23×D19 | Q16 | semidirect |
| 221. #1787 | D19 | semidirect |
| 342. C19 | #9924 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926700 | 2 |
| #14569443 | 2 |
| C2×#11926455 | 2 |
| C2×#11926282 | 2 |
| C2×#11926267 | 2 |
| #14561513 | 2 |
| C19×#1787 | 2 |
| #9924 | 19 |