Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
1092 conjugacy classes of subgroups; only the 147 normal subgroups are shown.
This group has 1092 conjugacy classes of subgroups — too many to draw. Only its 147 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. #14564476 | C2 | semidirect |
| 2. #14562370 | C2 | semidirect |
| 3. #14562227 | C2 | semidirect |
| 4. #14562074 | C2 | semidirect |
| 6. #11926568 | C22 | semidirect |
| 8. C4×#64520 | C22 | semidirect |
| 135. Q8×C19 | #100 | semidirect |
| 151. D4×C19 | #100 | semidirect |
| 264. C19 | #8469 | semidirect |
| 331. Q8 | #10597290 | semidirect |
| 347. D4 | #10597290 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564476 | 2 |
| #14562370 | 2 |
| #14562227 | 2 |
| #14562074 | 2 |
| C19×#3498 | 2 |
| #8469 | 19 |