Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
232 conjugacy classes of subgroups; only the 66 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 66 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×#11924611 | C2 | semidirect |
| 2. C2×#11924604 | C2 | semidirect |
| 3. #14558449 | C2 | direct (N × H) |
| 7. #11924611 | C22 | semidirect |
| 10. #11924604 | C22 | semidirect |
| 14. #11924555 | C4 | semidirect |
| 16. C2×Dic148 | C4 | semidirect |
| 19. C2×D8×C37 | C4 | semidirect |
| 33. D8×C37 | C2×C4 | semidirect |
| 39. Dic148 | C2×C4 | semidirect |
| 82. C2×C37 | #360 | semidirect |
| 90. C37 | C2×#360 | semidirect |
| 98. C2×D8 | #3866 | semidirect |
| 121. D8 | C2×#3866 | semidirect |
| 169. C2 | #14558449 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924611 | 2 |
| C2×#11924604 | 2 |
| #14558449 | 2 |
| C2×#11924555 | 2 |
| C2×#360 | 37 |