Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
262 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 93 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. #14557582 | C2 | semidirect |
| 3. #14557557 | C2 | semidirect |
| 5. #14557305 | C2 | semidirect |
| 6. #14557293 | C2 | semidirect |
| 21. #104×C37 | C4 | semidirect |
| 22. #104×C37 | C4 | semidirect |
| 105. C37 | #1861 | semidirect |
| 119. #104 | Dic37 | semidirect |
| 120. #104 | Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558300 | 2 |
| #14557582 | 2 |
| #14557557 | 2 |
| #14557550 | 2 |
| #14557305 | 2 |
| #14557293 | 2 |
| C2×#104×C37 | 2 |
| #1861 | 37 |