Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
626 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 626 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 3. #14561480 | C2 | semidirect |
| 4. #14561479 | C2 | semidirect |
| 5. C19×#1281 | C2 | semidirect |
| 66. C2×C8×C19 | M16 | semidirect |
| 80. C2×C19⋊C8 | M16 | semidirect |
| 116. #1281 | D19 | semidirect |
| 181. C19 | #7919 | semidirect |
| 205. C2×C8 | #64515 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572263 | 2 |
| C2×#97×D19 | 2 |
| #14561480 | 2 |
| #14561479 | 2 |
| C19×#1281 | 2 |
| #7919 | 19 |