Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
376 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 78 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×#11924604 | C2 | semidirect |
| 2. C2×#11924598 | C2 | semidirect |
| 3. C2×#11924590 | C2 | semidirect |
| 4. #14558485 | C2 | semidirect |
| 14. C2×D296 | C4 | semidirect |
| 15. C2×#10596939 | C4 | semidirect |
| 19. C2×D8×C37 | C4 | semidirect |
| 70. C8×C37 | C22⋊C4 | semidirect |
| 71. #64436 | C22⋊C4 | semidirect |
| 101. C37 | #1972 | semidirect |
| 107. C2×D8 | #3866 | semidirect |
| 167. C8 | C22⋊#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924604 | 2 |
| C2×#11924598 | 2 |
| C2×#11924590 | 2 |
| #14558485 | 2 |
| C2×D8×D37 | 2 |
| #1972 | 37 |