Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 131 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. #14564623 | C2 | semidirect |
| 4. #14562317 | C2 | semidirect |
| 6. C8×#64520 | C2 | semidirect |
| 7. C19×#1566 | C2 | semidirect |
| 95. #64520 | SD16 | semidirect |
| 130. C8×C19 | #100 | semidirect |
| 136. #1566 | D19 | semidirect |
| 214. C19 | #9793 | semidirect |
| 285. C8 | #10597280 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926917 | 2 |
| #14564623 | 2 |
| #14564474 | 2 |
| #14562317 | 2 |
| #14562304 | 2 |
| C8×#64520 | 2 |
| C19×#1566 | 2 |
| #9793 | 19 |