Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
472 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 472 conjugacy classes of subgroups — too many to draw. Only its 133 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. C2×#11924567 | C2 | semidirect |
| 2. C2×#11924542 | C2 | semidirect |
| 4. #14558107 | C2 | semidirect |
| 5. #14557790 | C2 | semidirect |
| 6. #14557782 | C2 | semidirect |
| 7. #14557773 | C2 | semidirect |
| 8. #14557765 | C2 | semidirect |
| 9. #14557573 | C2 | semidirect |
| 10. #14557530 | C2 | semidirect |
| 11. C2×#103×C37 | C2 | semidirect |
| 81. #10596934 | D4 | semidirect |
| 154. C2×#103 | D37 | semidirect |
| 155. C37 | #3063 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924567 | 2 |
| C2×#11924542 | 2 |
| #14558114 | 2 |
| #14558107 | 2 |
| #14557790 | 2 |
| #14557782 | 2 |
| #14557773 | 2 |
| #14557765 | 2 |
| #14557573 | 2 |
| #14557530 | 2 |
| C2×#103×C37 | 2 |
| #3063 | 37 |