Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
312 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 97 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. #14557586 | C2 | semidirect |
| 3. #14557260 | C2 | semidirect |
| 4. C37×#431 | C2 | semidirect |
| 15. C4×#64436 | C22 | semidirect |
| 17. C4⋊C8×C37 | C22 | semidirect |
| 27. C2×D148 | C8 | semidirect |
| 90. #431 | D37 | semidirect |
| 92. C37 | #1478 | semidirect |
| 103. C4⋊C8 | C2×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D148 | 2 |
| #14557586 | 2 |
| #14557260 | 2 |
| C37×#431 | 2 |
| #1478 | 37 |