Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 149 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. C2×#11924558 | C2 | semidirect |
| 2. #14558111 | C2 | semidirect |
| 3. #14557779 | C2 | semidirect |
| 4. #14557774 | C2 | semidirect |
| 5. #14557769 | C2 | semidirect |
| 6. C2×#11924470 | C2 | semidirect |
| 7. #14557535 | C2 | semidirect |
| 8. C2×#131×C37 | C2 | semidirect |
| 48. C2×C8×C37 | D4 | semidirect |
| 110. C2×#131 | D37 | semidirect |
| 117. C37 | #3061 | semidirect |
| 160. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| #14558111 | 2 |
| #14557779 | 2 |
| #14557774 | 2 |
| #14557769 | 2 |
| C2×#11924470 | 2 |
| #14557535 | 2 |
| C2×#131×C37 | 2 |
| #3061 | 37 |