Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
780 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 780 conjugacy classes of subgroups — too many to draw. Only its 97 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. C2×#11926931 | C2 | semidirect |
| 2. #14571680 | C2 | semidirect |
| 3. #14564460 | C2 | semidirect |
| 4. C2×#11926284 | C2 | semidirect |
| 5. C2×#11926283 | C2 | semidirect |
| 6. #14561517 | C2 | semidirect |
| 7. C2×C19×#496 | C2 | semidirect |
| 47. C19×#127 | D4 | semidirect |
| 71. C19×#97 | D4 | semidirect |
| 79. #10597260 | D4 | semidirect |
| 197. C2×#496 | D19 | semidirect |
| 285. #127 | C22⋊D19 | semidirect |
| 308. #97 | C22⋊D19 | semidirect |
| 312. C19 | #10078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11926931 | 2 |
| #14571680 | 2 |
| #14564460 | 2 |
| C2×#11926284 | 2 |
| C2×#11926283 | 2 |
| #14561517 | 2 |
| C2×C19×#496 | 2 |
| #10078 | 19 |