Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
648 conjugacy classes of subgroups; only the 127 normal subgroups are shown.
This group has 648 conjugacy classes of subgroups — too many to draw. Only its 127 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. #14562212 | C2 | semidirect |
| 2. #14562043 | C2 | semidirect |
| 4. #11926597 | C22 | semidirect |
| 5. #11926412 | C22 | semidirect |
| 10. C19×#563 | C4 | semidirect |
| 11. C19×H(3,𝔽4) | C4 | semidirect |
| 119. #563 | Dic19 | semidirect |
| 120. H(3,𝔽4) | Dic19 | semidirect |
| 170. C19 | #8514 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14562212 | 2 |
| #14562043 | 2 |
| C19×#3568 | 2 |
| #8514 | 19 |