Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
474 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
| 3. C2×#11924458 | C2 | semidirect |
| 4. #14557439 | C2 | semidirect |
| 5. C37×#336 | C2 | semidirect |
| 35. C2×Dic74 | D4 | semidirect |
| 38. C2×C8×C37 | D4 | semidirect |
| 50. C2×C4×C37 | SD16 | semidirect |
| 94. #336 | D37 | semidirect |
| 95. C37 | #2014 | semidirect |
| 129. C2×C8 | D148 | semidirect |
| 152. C2×C4 | #10596930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596930 | 2 |
| C2×#11924533 | 2 |
| C2×#11924458 | 2 |
| #14557439 | 2 |
| C37×#336 | 2 |
| #2014 | 37 |