Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
230 conjugacy classes of subgroups; only the 70 normal subgroups are shown.
This group has 230 conjugacy classes of subgroups — too many to draw. Only its 70 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 |
|---|---|---|
| 19. #11924468 | C4 | semidirect |
| 20. #11924467 | C4 | semidirect |
| 21. #11924467 | C4 | semidirect |
| 22. #106×C37 | C4 | semidirect |
| 115. C37 | #1920 | semidirect |
| 128. #106 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558484 | 2 |
| C4⋊C4×#3866 | 2 |
| #14558407 | 2 |
| #14558406 | 2 |
| (C2×#3866)⋊C8 | 2 |
| #106×D37 | 2 |
| #1920 | 37 |