Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
632 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 99 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. #14573428 | C2 | semidirect |
| 3. #14562199 | C2 | semidirect |
| 4. #14562060 | C2 | semidirect |
| 5. #14562027 | C2 | semidirect |
| 6. #14561494 | C2 | semidirect |
| 7. C19×#3101 | C2 | semidirect |
| 39. C19×C4⋊Q8 | D4 | semidirect |
| 40. C19×C4⋊Q8 | D4 | semidirect |
| 71. C4×C8×C19 | D4 | semidirect |
| 82. C4⋊(C19⋊C8) | D4 | semidirect |
| 111. C2×D76 | SD16 | semidirect |
| 201. #3101 | D19 | semidirect |
| 277. C4⋊Q8 | C22⋊D19 | semidirect |
| 278. C4⋊Q8 | C22⋊D19 | semidirect |
| 317. C4×C8 | C22⋊D19 | semidirect |
| 321. C19 | #10000 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573428 | 2 |
| #14568536 | 2 |
| #14562199 | 2 |
| #14562060 | 2 |
| #14562027 | 2 |
| #14561494 | 2 |
| C19×#3101 | 2 |
| #10000 | 19 |