Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 77. C37 | #1684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557885 | 2 |
| #14557825 | 2 |
| #14557819 | 2 |
| #14557657 | 2 |
| #14557285 | 2 |
| #14557280 | 2 |
| C37×#333 | 2 |
| #1684 | 37 |