Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
794 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 794 conjugacy classes of subgroups — too many to draw. Only its 105 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. #14574553 | C2 | semidirect |
| 2. #14573099 | C2 | semidirect |
| 3. #14562303 | C2 | semidirect |
| 4. #14562129 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561538 | C2 | semidirect |
| 7. C19×#2541 | C2 | semidirect |
| 64. #10597320 | D4 | semidirect |
| 67. #10597315 | D4 | semidirect |
| 76. C4⋊(C19⋊C8) | D4 | semidirect |
| 77. C4⋊(C19⋊C8) | D4 | semidirect |
| 102. C2×D4×C19 | D8 | semidirect |
| 206. #2541 | D19 | semidirect |
| 320. C19 | #10238 | semidirect |
| 352. C2×D4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574553 | 2 |
| #14573099 | 2 |
| #14562303 | 2 |
| #14562129 | 2 |
| #14562026 | 2 |
| #14561538 | 2 |
| C19×#2541 | 2 |
| #10238 | 19 |