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. #14574550 | C2 | semidirect |
| 2. #14568581 | C2 | semidirect |
| 3. #14562304 | C2 | semidirect |
| 4. #14562130 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561536 | C2 | semidirect |
| 7. C19×#3036 | C2 | semidirect |
| 43. C19×C4⋊Q8 | D4 | semidirect |
| 44. C19×#127 | D4 | semidirect |
| 69. C19×C4⋊C8 | D4 | semidirect |
| 77. C4⋊(C19⋊C8) | D4 | semidirect |
| 96. C2×D4×C19 | D8 | semidirect |
| 205. #3036 | D19 | semidirect |
| 284. C4⋊Q8 | C22⋊D19 | semidirect |
| 291. #127 | C22⋊D19 | semidirect |
| 311. C4⋊C8 | C22⋊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 |
|---|---|
| #14574550 | 2 |
| #14568581 | 2 |
| #14562304 | 2 |
| #14562130 | 2 |
| #14562026 | 2 |
| #14561536 | 2 |
| C19×#3036 | 2 |
| #10238 | 19 |