Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14557841 | C2 | semidirect |
| 4. #14557829 | C2 | semidirect |
| 5. #14557819 | C2 | semidirect |
| 42. C2×Dic74 | Q8 | semidirect |
| 115. C37 | #3078 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| C2×C4×Dic74 | 2 |
| #14557841 | 2 |
| #14557829 | 2 |
| #14557819 | 2 |
| #14557575 | 2 |
| #14557543 | 2 |
| C37×#423 | 2 |
| #3078 | 37 |