Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
340 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 340 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×#11924605 | C2 | semidirect |
| 2. C2×#11924599 | C2 | semidirect |
| 4. C2×#11924590 | C2 | semidirect |
| 5. (C2×#3866)⋊Q8 | C2 | semidirect |
| 20. C2×#10596930 | C4 | semidirect |
| 21. C2×#10596940 | C4 | semidirect |
| 22. C2×#10596941 | C4 | semidirect |
| 26. C2×SD16×C37 | C4 | semidirect |
| 102. C8×C37 | C22⋊C4 | semidirect |
| 103. #64436 | C22⋊C4 | semidirect |
| 140. C37 | #1973 | semidirect |
| 148. C2×SD16 | #3866 | semidirect |
| 236. C8 | C22⋊#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924605 | 2 |
| C2×#11924599 | 2 |
| C2×#11924598 | 2 |
| C2×#11924590 | 2 |
| (C2×#3866)⋊Q8 | 2 |
| #14558485 | 2 |
| C2×SD16×D37 | 2 |
| #1973 | 37 |