Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
380 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 157 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. #14557939 | C2 | semidirect |
| 3. #14557936 | C2 | semidirect |
| 4. #14557929 | C2 | semidirect |
| 54. #10596934 | Q8 | semidirect |
| 74. #64436 | C2×Q8 | semidirect |
| 100. C37 | #3165 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558090 | 2 |
| #14557939 | 2 |
| #14557936 | 2 |
| #14557929 | 2 |
| #14557573 | 2 |
| C4×#10596934 | 2 |
| C2×C4⋊Q8×C37 | 2 |
| #3165 | 37 |