Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
356 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 153 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. #14557937 | C2 | semidirect |
| 3. #14557934 | C2 | semidirect |
| 4. #14557933 | C2 | semidirect |
| 5. #14557930 | C2 | semidirect |
| 32. C2×C8×C37 | Q8 | semidirect |
| 47. C2×#64436 | Q8 | semidirect |
| 88. C37 | #3160 | semidirect |
| 114. C2×C8 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558086 | 2 |
| #14557937 | 2 |
| #14557934 | 2 |
| #14557933 | 2 |
| #14557930 | 2 |
| #14557571 | 2 |
| #14557569 | 2 |
| C2×C8×Dic37 | 2 |
| C37×#427 | 2 |
| #3160 | 37 |