Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 143 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 |
|---|---|---|
| 3. #14557842 | C2 | semidirect |
| 4. #14557838 | C2 | semidirect |
| 5. #14557826 | C2 | semidirect |
| 6. #14557816 | C2 | semidirect |
| 45. C2×Q8×C37 | Q8 | semidirect |
| 141. C37 | #3078 | semidirect |
| 177. C2×Q8 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558086 | 2 |
| C2×Q8×Dic37 | 2 |
| #14557842 | 2 |
| #14557838 | 2 |
| #14557826 | 2 |
| #14557816 | 2 |
| #14557576 | 2 |
| #14557575 | 2 |
| #14557556 | 2 |
| #14557542 | 2 |
| C37×#419 | 2 |
| #3078 | 37 |