Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
156 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 156 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 4. #14557360 | C2 | semidirect |
| 5. #14557359 | C2 | semidirect |
| 6. #14557358 | C2 | semidirect |
| 7. C37×#367 | C2 | semidirect |
| 11. #11924475 | C4 | semidirect |
| 33. C16×C37 | C2×C4 | semidirect |
| 34. #10596925 | C2×C4 | semidirect |
| 68. #367 | D37 | semidirect |
| 71. C37 | #2159 | semidirect |
| 98. C16 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924475 | 2 |
| #14557570 | 2 |
| #107×D37 | 2 |
| #14557360 | 2 |
| #14557359 | 2 |
| #14557358 | 2 |
| C37×#367 | 2 |
| #2159 | 37 |