Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
408 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 105 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×#10596929 | C2 | semidirect |
| 3. C2×C22⋊#64436 | C2 | semidirect |
| 4. C2×#11924448 | C2 | semidirect |
| 5. #14557287 | C2 | semidirect |
| 6. #14557287 | C2 | semidirect |
| 7. C2×C22⋊C8×C37 | C2 | semidirect |
| 54. C2×C8×C37 | D4 | semidirect |
| 65. C2×#64436 | D4 | semidirect |
| 73. C23×C37 | M16 | semidirect |
| 104. C2×Dic37 | M16 | semidirect |
| 156. C2×C22⋊C8 | D37 | semidirect |
| 159. C37 | #1870 | semidirect |
| 213. C2×C8 | C22⋊D37 | semidirect |
| 232. C23 | #10596929 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596929 | 2 |
| C2×C4×C22⋊D37 | 2 |
| C2×C22⋊#64436 | 2 |
| C2×#11924448 | 2 |
| #14557287 | 2 |
| C2×C22⋊C8×C37 | 2 |
| #1870 | 37 |