Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
226 conjugacy classes of subgroups; only the 46 normal subgroups are shown.
This group has 226 conjugacy classes of subgroups — too many to draw. Only its 46 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 |
|---|---|---|
| 7. #11924593 | C4 | semidirect |
| 9. (C2×#3866)⋊C4 | C4 | semidirect |
| 12. C2×C4×Dic37 | C4 | semidirect |
| 14. C2×C42×C37 | C4 | semidirect |
| 95. C37 | #1284 | semidirect |
| 101. C2×C42 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558505 | 2 |
| #14558476 | 2 |
| C4×#10596938 | 2 |
| #1284 | 37 |