Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
144 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 144 conjugacy classes of subgroups — too many to draw. Only its 43 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. C2×#11924480 | C2 | semidirect |
| 2. #14557951 | C2 | semidirect |
| 3. #14557809 | C2 | semidirect |
| 5. #14557362 | C2 | semidirect |
| 6. #14557350 | C2 | semidirect |
| 7. C37×#361 | C2 | semidirect |
| 78. #361 | D37 | semidirect |
| 79. C37 | #2223 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924480 | 2 |
| #14557951 | 2 |
| #14557809 | 2 |
| #14557800 | 2 |
| #14557362 | 2 |
| #14557350 | 2 |
| C37×#361 | 2 |
| #2223 | 37 |