Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 2. C2×#11924469 | C2 | semidirect |
| 4. #14557295 | C2 | semidirect |
| 7. C22×#64436 | C4 | semidirect |
| 60. #64436 | C22⋊C4 | semidirect |
| 65. C22×C37 | #107 | semidirect |
| 89. C37 | #1808 | semidirect |
| 149. C22 | #11924469 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#64436 | 2 |
| C2×#11924469 | 2 |
| #14557393 | 2 |
| #14557295 | 2 |
| C37×#380 | 2 |
| #1808 | 37 |