Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
576 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 576 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14574022 | C2 | semidirect |
| 2. #14573734 | C2 | semidirect |
| 4. #14562258 | C2 | semidirect |
| 5. #14562187 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#1490 | C2 | semidirect |
| 59. #10597315 | D4 | semidirect |
| 60. #10597315 | D4 | semidirect |
| 67. C4×C8×C19 | D4 | semidirect |
| 81. #10597260 | D4 | semidirect |
| 185. #1490 | D19 | semidirect |
| 287. C4×C8 | C22⋊D19 | semidirect |
| 292. C19 | #10022 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574022 | 2 |
| #14573734 | 2 |
| #14569487 | 2 |
| #14562258 | 2 |
| #14562187 | 2 |
| #14561500 | 2 |
| C19×#1490 | 2 |
| #10022 | 19 |