Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
662 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 662 conjugacy classes of subgroups — too many to draw. Only its 79 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. #14574101 | C2 | semidirect |
| 2. #14573726 | C2 | semidirect |
| 3. #14569487 | C2 | semidirect |
| 4. #14562258 | C2 | semidirect |
| 5. #14562183 | C2 | semidirect |
| 6. #14561500 | C2 | semidirect |
| 7. C19×#1490 | C2 | semidirect |
| 65. #10597320 | D4 | semidirect |
| 68. #10597315 | D4 | semidirect |
| 73. C4×C8×C19 | D4 | semidirect |
| 83. #10597260 | D4 | semidirect |
| 199. #1490 | D19 | semidirect |
| 306. C4×C8 | C22⋊D19 | semidirect |
| 311. C19 | #10018 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14574101 | 2 |
| #14573726 | 2 |
| #14569487 | 2 |
| #14562258 | 2 |
| #14562183 | 2 |
| #14561500 | 2 |
| C19×#1490 | 2 |
| #10018 | 19 |