Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
532 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 532 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×#11924567 | C2 | semidirect |
| 3. #14558107 | C2 | semidirect |
| 4. #14557926 | C2 | semidirect |
| 5. #14557918 | C2 | semidirect |
| 6. #14557911 | C2 | semidirect |
| 7. #14557488 | C2 | semidirect |
| 8. C22×Q16×C37 | C2 | semidirect |
| 99. C22×Q16 | D37 | semidirect |
| 105. C37 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924567 | 2 |
| C2×#11924558 | 2 |
| #14558107 | 2 |
| #14557926 | 2 |
| #14557918 | 2 |
| #14557911 | 2 |
| #14557488 | 2 |
| C22×Q16×C37 | 2 |
| #3156 | 37 |