Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
324 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 324 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #14557575 | C2 | semidirect |
| 4. #14557294 | C2 | semidirect |
| 17. #100×C37 | C4 | semidirect |
| 29. M16×C37 | C2×C4 | semidirect |
| 89. C37 | #1856 | semidirect |
| 101. #100 | Dic37 | semidirect |
| 113. M16 | C2×Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558008 | 2 |
| #14557575 | 2 |
| #14557436 | 2 |
| #14557294 | 2 |
| C2×#100×C37 | 2 |
| #1856 | 37 |