Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
632 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 632 conjugacy classes of subgroups — too many to draw. Only its 101 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. #14573643 | C2 | semidirect |
| 2. #14573432 | C2 | semidirect |
| 3. #14562198 | C2 | semidirect |
| 4. #14562060 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 62. #10597315 | D4 | semidirect |
| 63. #10597315 | D4 | semidirect |
| 81. C4⋊(C19⋊C8) | D4 | semidirect |
| 83. C4×C19⋊C8 | D4 | semidirect |
| 97. C2×D4×C19 | SD16 | semidirect |
| 321. C19 | #10000 | semidirect |
| 337. C2×D4 | #64526 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573643 | 2 |
| #14573432 | 2 |
| #14562198 | 2 |
| #14562060 | 2 |
| #14562026 | 2 |
| #14561493 | 2 |
| C19×#2535 | 2 |
| #10000 | 19 |