Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
220 conjugacy classes of subgroups; only the 72 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 72 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×#11924611 | C2 | semidirect |
| 2. D37⋊M32 | C2 | semidirect |
| 3. #14558432 | C2 | semidirect |
| 4. #14558431 | C2 | semidirect |
| 9. #11924610 | C22 | semidirect |
| 11. C2×#10596927 | C22 | semidirect |
| 108. C37 | #2117 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924611 | 2 |
| D37⋊M32 | 2 |
| #14558432 | 2 |
| #14558431 | 2 |
| #131×D37 | 2 |
| #2117 | 37 |