Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
348 conjugacy classes of subgroups; only the 104 normal subgroups are shown.
This group has 348 conjugacy classes of subgroups — too many to draw. Only its 104 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. C2×#11924603 | C2 | semidirect |
| 3. C2×C4⋊#64438 | C2 | semidirect |
| 5. #14558399 | C2 | semidirect |
| 6. #14558399 | C2 | semidirect |
| 52. #10596938 | C8 | semidirect |
| 73. C2×C4×C37 | C2×C8 | semidirect |
| 79. C2×Dic37 | C2×C8 | semidirect |
| 107. C2×D37 | C4⋊C8 | semidirect |
| 133. C37 | #1850 | semidirect |
| 214. C2×C4 | D37⋊C8 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×D37⋊C8 | 2 |
| C2×#11924603 | 2 |
| C2×C4⋊#64438 | 2 |
| C2×#11924593 | 2 |
| #14558399 | 2 |
| #14557380 | 2 |
| #1850 | 37 |