Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
672 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 672 conjugacy classes of subgroups — too many to draw. Only its 103 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. #14562341 | C2 | semidirect |
| 3. #14562267 | C2 | semidirect |
| 4. #14562210 | C2 | semidirect |
| 5. #14562181 | C2 | semidirect |
| 6. #14562108 | C2 | semidirect |
| 7. C19×#1515 | C2 | semidirect |
| 9. #11927260 | C4 | semidirect |
| 11. #11927255 | C4 | semidirect |
| 14. #11927209 | C4 | semidirect |
| 16. #11927197 | C4 | semidirect |
| 240. #1515 | D19 | semidirect |
| 385. C19 | #8502 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14578018 | 2 |
| #14562341 | 2 |
| #14562267 | 2 |
| #14562210 | 2 |
| #14562181 | 2 |
| #14562108 | 2 |
| C19×#1515 | 2 |
| #8502 | 19 |