Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
372 conjugacy classes of subgroups; only the 91 normal subgroups are shown.
This group has 372 conjugacy classes of subgroups — too many to draw. Only its 91 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 |
|---|---|---|
| 4. C2×C4⋊(C19⋊C8) | C4 | semidirect |
| 8. C2×C4×C19⋊C8 | C4 | semidirect |
| 13. C19×#324 | C4 | semidirect |
| 32. #10597291 | C8 | semidirect |
| 152. #324 | Dic19 | semidirect |
| 184. C19 | #7205 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14564430 | 2 |
| C4×#10597291 | 2 |
| C19×#1459 | 2 |
| #7205 | 19 |