Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
908 conjugacy classes of subgroups; only the 285 normal subgroups are shown.
This group has 908 conjugacy classes of subgroups — too many to draw. Only its 285 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 |
|---|---|---|
| 4. #14557454 | C2 | direct (N × H) |
| 26. C22×C4×C37 | Q8 | semidirect |
| 36. C22×Dic37 | Q8 | semidirect |
| 57. C2×C4×C37 | C2×Q8 | semidirect |
| 68. C2×Dic37 | C2×Q8 | semidirect |
| 86. C2×C37 | #395 | semidirect |
| 98. C37 | C2×#395 | semidirect |
| 131. C22×C4 | Dic74 | semidirect |
| 160. C2×C4 | C2×Dic74 | semidirect |
| 177. C2 | #14557454 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic74 | 2 |
| C22×C4⋊Dic37 | 2 |
| C22×#10596936 | 2 |
| #14557454 | 2 |
| C2×#11924443 | 2 |
| C2×#95×C37 | 2 |
| C2×#395 | 37 |