Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
912 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 113 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. #14574576 | C2 | semidirect |
| 2. #14564612 | C2 | semidirect |
| 3. #14562303 | C2 | semidirect |
| 4. #14561468 | C2 | semidirect |
| 38. #10597315 | D4 | semidirect |
| 43. C4⋊(C19⋊C8) | D4 | semidirect |
| 64. C42×C19 | SD16 | semidirect |
| 166. C19 | #10290 | semidirect |
| 195. C42 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574576 | 2 |
| #14564612 | 2 |
| #14562303 | 2 |
| #14561468 | 2 |
| C19×#2867 | 2 |
| #10290 | 19 |