Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
474 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 474 conjugacy classes of subgroups — too many to draw. Only its 97 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. C22×#10596941 | C2 | semidirect |
| 3. C2×#11924456 | C2 | semidirect |
| 4. #14557288 | C2 | semidirect |
| 5. C37×#391 | C2 | semidirect |
| 22. C2×Q8×C37 | D4 | semidirect |
| 41. C2×#64436 | D4 | semidirect |
| 57. C2×C4×C37 | SD16 | semidirect |
| 93. #391 | D37 | semidirect |
| 95. C37 | #2014 | semidirect |
| 112. C2×Q8 | D148 | semidirect |
| 152. C2×C4 | #10596941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596941 | 2 |
| C2×#11924533 | 2 |
| C2×#11924456 | 2 |
| #14557288 | 2 |
| C37×#391 | 2 |
| #2014 | 37 |