Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
296 conjugacy classes of subgroups; only the 90 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 90 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 |
|---|---|---|
| 13. #11924597 | C4 | semidirect |
| 18. #11924455 | C4 | semidirect |
| 19. #11924454 | C4 | semidirect |
| 20. #101×C37 | C4 | semidirect |
| 74. #3866 | #101 | direct (N × H) |
| 90. C37 | C4×#101 | semidirect |
| 103. #101 | #3866 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#3866 | 2 |
| D37⋊#101 | 2 |
| M16×#3866 | 2 |
| #14558412 | 2 |
| #101×D37 | 2 |
| C4×#101 | 37 |