Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
160 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 53 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×#11924481 | C2 | semidirect |
| 2. #14557774 | C2 | semidirect |
| 4. #14557359 | C2 | semidirect |
| 5. #14557338 | C2 | semidirect |
| 6. #14557335 | C2 | semidirect |
| 7. C2×M32×C37 | C2 | semidirect |
| 39. C16×C37 | D4 | semidirect |
| 77. C2×M32 | D37 | semidirect |
| 83. C37 | #2220 | semidirect |
| 115. C16 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924481 | 2 |
| #14557774 | 2 |
| #14557769 | 2 |
| #14557359 | 2 |
| #14557338 | 2 |
| #14557335 | 2 |
| C2×M32×C37 | 2 |
| #2220 | 37 |