Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
240 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 240 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 |
|---|---|---|
| 21. C4⋊#64436 | C4 | semidirect |
| 22. #11924465 | C4 | semidirect |
| 23. #11924465 | C4 | semidirect |
| 24. C4⋊C8×C37 | C4 | semidirect |
| 118. C37 | #1949 | semidirect |
| 132. C4⋊C8 | #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×#11924604 | 2 |
| #14558477 | 2 |
| C4×C4⋊#3866 | 2 |
| #14558407 | 2 |
| C4⋊C8×D37 | 2 |
| #1949 | 37 |