Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
262 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 262 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 4. #14557294 | C2 | semidirect |
| 5. #14557292 | C2 | semidirect |
| 6. #14557289 | C2 | semidirect |
| 7. C37×H(3,ℤ/4) | C2 | semidirect |
| 14. #11924493 | C4 | semidirect |
| 16. C42×D37 | C4 | semidirect |
| 109. H(3,ℤ/4) | D37 | semidirect |
| 110. C37 | #1827 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558001 | 2 |
| #14557515 | 2 |
| #14557506 | 2 |
| #14557294 | 2 |
| #14557292 | 2 |
| #14557289 | 2 |
| C37×H(3,ℤ/4) | 2 |
| #1827 | 37 |