Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
572 conjugacy classes of subgroups; only the 153 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 153 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×#11924558 | C2 | semidirect |
| 2. C2×#11924556 | C2 | semidirect |
| 3. #14558079 | C2 | semidirect |
| 4. #14557918 | C2 | semidirect |
| 5. #14557916 | C2 | semidirect |
| 6. #14557914 | C2 | semidirect |
| 7. #14557911 | C2 | semidirect |
| 8. #14557908 | C2 | semidirect |
| 9. #14557904 | C2 | semidirect |
| 10. C2×C8×Dic37 | C2 | semidirect |
| 11. C2×#135×C37 | C2 | semidirect |
| 58. C2×C8×C37 | D4 | semidirect |
| 71. C2×#64436 | D4 | semidirect |
| 119. Dic37 | #135 | semidirect |
| 128. C2×#135 | D37 | semidirect |
| 137. C37 | #3147 | semidirect |
| 194. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924558 | 2 |
| C2×#11924556 | 2 |
| #14558079 | 2 |
| #14557918 | 2 |
| #14557916 | 2 |
| #14557914 | 2 |
| #14557911 | 2 |
| #14557908 | 2 |
| #14557904 | 2 |
| C2×C8×Dic37 | 2 |
| C2×#135×C37 | 2 |
| #3147 | 37 |