Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
136 conjugacy classes of subgroups; only the 50 normal subgroups are shown.
This group has 136 conjugacy classes of subgroups — too many to draw. Only its 50 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 |
|---|---|---|
| 5. #11924611 | C4 | semidirect |
| 12. #11924472 | C4 | semidirect |
| 14. #108×C37 | C4 | semidirect |
| 64. C37 | #1387 | semidirect |
| 73. #108 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊M32 | 2 |
| C2×#11924605 | 2 |
| #108×D37 | 2 |
| #1387 | 37 |