Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
686 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 686 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. #14573635 | C2 | semidirect |
| 2. #14573099 | C2 | semidirect |
| 3. #14562194 | C2 | semidirect |
| 4. #14562060 | C2 | semidirect |
| 5. #14562026 | C2 | semidirect |
| 6. #14561493 | C2 | semidirect |
| 7. C19×#2535 | C2 | semidirect |
| 66. #10597320 | D4 | semidirect |
| 69. #10597315 | D4 | semidirect |
| 83. C4⋊(C19⋊C8) | D4 | semidirect |
| 85. C4×C19⋊C8 | D4 | semidirect |
| 99. C2×D4×C19 | D8 | semidirect |
| 219. #2535 | D19 | semidirect |
| 342. C19 | #9996 | semidirect |
| 365. C2×D4 | #64525 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14573635 | 2 |
| #14573099 | 2 |
| #14562194 | 2 |
| #14562060 | 2 |
| #14562026 | 2 |
| #14561493 | 2 |
| C19×#2535 | 2 |
| #9996 | 19 |