Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
284 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 4. #11927022 | C4 | semidirect |
| 7. C2×#10597293 | C4 | semidirect |
| 10. #11926284 | C4 | semidirect |
| 14. C19×#354 | C4 | semidirect |
| 126. #354 | Dic19 | semidirect |
| 157. C19 | #7481 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564039 | 2 |
| #14562259 | 2 |
| C2×C19×#354 | 2 |
| #7481 | 19 |