Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
146 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 146 conjugacy classes of subgroups — too many to draw. Only its 79 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 |
|---|---|---|
| 1. #14557950 | C2 | semidirect |
| 2. #14557354 | C2 | semidirect |
| 3. #14557317 | C2 | semidirect |
| 4. C4×#10596925 | C2 | semidirect |
| 56. C37 | #2170 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557950 | 2 |
| #14557354 | 2 |
| #14557317 | 2 |
| C4×#10596925 | 2 |
| C37×#443 | 2 |
| #2170 | 37 |