Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
272 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 129 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. #11924465 | C4 | semidirect |
| 15. #11924446 | C4 | semidirect |
| 65. #64436 | C4⋊C4 | semidirect |
| 92. C37 | #1771 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924465 | 2 |
| C2×#11924446 | 2 |
| C2×C4×#64436 | 2 |
| C4×#10596936 | 2 |
| #14557287 | 2 |
| C37×#336 | 2 |
| #1771 | 37 |