Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
162 conjugacy classes of subgroups; only the 61 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 61 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. #14557660 | C2 | semidirect |
| 4. #14557285 | C2 | semidirect |
| 5. #14557265 | C2 | semidirect |
| 6. #14557255 | C2 | semidirect |
| 60. #64436 | M16 | semidirect |
| 85. C37 | #1592 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557660 | 2 |
| C4×#10596940 | 2 |
| #14557611 | 2 |
| #14557285 | 2 |
| #14557265 | 2 |
| #14557255 | 2 |
| C37×D4⋊C8 | 2 |
| #1592 | 37 |