Finite Group DatabasebetaFinite Group DatabasebetaOrder 4864.
380 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 115 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 |
|---|---|---|
| 26. C19×C22⋊C8 | C8 | semidirect |
| 152. C22⋊C8 | C19⋊C8 | semidirect |
| 155. C19 | #7021 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14563703 | 2 |
| C4×C22⋊(C19⋊C8) | 2 |
| C19×#1749 | 2 |
| #7021 | 19 |