Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
168 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 61 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 |
|---|---|---|
| 1. #14557664 | C2 | semidirect |
| 4. #14557285 | C2 | semidirect |
| 6. #14557254 | C2 | semidirect |
| 7. C37×Q8⋊C8 | C2 | semidirect |
| 82. Q8⋊C8 | D37 | semidirect |
| 85. C37 | #1585 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557664 | 2 |
| C4×#10596941 | 2 |
| #14557598 | 2 |
| #14557285 | 2 |
| #14557262 | 2 |
| #14557254 | 2 |
| C37×Q8⋊C8 | 2 |
| #1585 | 37 |