Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
474 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 93 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. C22×#10596930 | C2 | semidirect |
| 2. C22×#10596940 | C2 | semidirect |
| 4. C2×#11924456 | C2 | semidirect |
| 5. #14557438 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C2×#102×C37 | C2 | semidirect |
| 53. C2×Dic74 | D4 | semidirect |
| 56. C2×C8×C37 | D4 | semidirect |
| 64. C2×#64436 | D4 | semidirect |
| 95. C2×Dic37 | SD16 | semidirect |
| 140. C2×#102 | D37 | semidirect |
| 143. C37 | #2014 | semidirect |
| 197. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596930 | 2 |
| C22×#10596940 | 2 |
| C2×#11924532 | 2 |
| C2×#11924456 | 2 |
| #14557438 | 2 |
| #14557287 | 2 |
| C2×#102×C37 | 2 |
| #2014 | 37 |