Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
200 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 94 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 |
|---|---|---|
| 2. #14558395 | C2 | semidirect |
| 3. #14558394 | C2 | semidirect |
| 29. C8×D37 | C8 | semidirect |
| 43. C8×C37 | C2×C8 | semidirect |
| 45. #64436 | C2×C8 | semidirect |
| 61. D37 | #334 | semidirect |
| 66. C37 | C2×#334 | semidirect |
| 107. C8 | D37⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊(C4⋊C8) | 2 |
| #14558395 | 2 |
| #14558394 | 2 |
| C4×C8×D37 | 2 |
| C2×#334 | 37 |