Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
222 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 222 conjugacy classes of subgroups — too many to draw. Only its 37 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. #14557300 | C2 | semidirect |
| 2. #14557257 | C2 | semidirect |
| 7. C22×D4×C37 | C4 | semidirect |
| 10. #95×C37 | C4 | semidirect |
| 92. C37 | #1343 | semidirect |
| 94. C22×D4 | Dic37 | semidirect |
| 99. #95 | Dic37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557300 | 2 |
| #14557257 | 2 |
| C37×#392 | 2 |
| #1343 | 37 |