Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
542 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 139 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. #14564624 | C2 | semidirect |
| 4. #14562391 | C2 | semidirect |
| 5. #14562315 | C2 | semidirect |
| 7. C8×M16×C19 | C2 | semidirect |
| 80. M16×C19 | SD16 | semidirect |
| 130. C8×C19 | #100 | semidirect |
| 139. C8×M16 | D19 | semidirect |
| 214. C19 | #9793 | semidirect |
| 238. M16 | #64516 | 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 |
| #14564624 | 2 |
| #14564475 | 2 |
| #14562391 | 2 |
| #14562315 | 2 |
| #14562302 | 2 |
| C8×M16×C19 | 2 |
| #9793 | 19 |