Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
362 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 149 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. #14557840 | C2 | semidirect |
| 3. #14557840 | C2 | semidirect |
| 4. #14557828 | C2 | semidirect |
| 5. #14557818 | C2 | semidirect |
| 43. C2×Q8×C37 | Q8 | semidirect |
| 128. C37 | #3082 | semidirect |
| 161. C2×Q8 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558161 | 2 |
| #14557840 | 2 |
| #14557828 | 2 |
| #14557818 | 2 |
| #14557576 | 2 |
| #14557569 | 2 |
| #14557560 | 2 |
| #14557542 | 2 |
| C2×#11924460 | 2 |
| C37×#519 | 2 |
| #3082 | 37 |