Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
850 conjugacy classes of subgroups; only the 171 normal subgroups are shown.
This group has 850 conjugacy classes of subgroups — too many to draw. Only its 171 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 |
|---|---|---|
| 2. #14563752 | C2 | semidirect |
| 3. C2×#11926287 | C2 | semidirect |
| 4. C19×#1767 | C2 | semidirect |
| 37. C19×C4⋊C8 | D4 | semidirect |
| 106. #1767 | D19 | semidirect |
| 164. C4⋊C8 | D76 | semidirect |
| 166. C19 | #9706 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14572030 | 2 |
| #14563752 | 2 |
| C2×#11926287 | 2 |
| C19×#1767 | 2 |
| #9706 | 19 |