Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
572 conjugacy classes of subgroups; only the 288 normal subgroups are shown.
This group has 572 conjugacy classes of subgroups — too many to draw. Only its 288 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. #14558498 | C2 | semidirect |
| 3. C4×#10596953 | C2 | semidirect |
| 4. C4×D37⋊C8 | C2 | semidirect |
| 6. #11924624 | C4 | direct (N × H) |
| 28. #10596953 | C2×C4 | semidirect |
| 29. D37⋊C8 | C2×C4 | semidirect |
| 57. C4×C37 | #131 | semidirect |
| 59. Dic37 | #131 | semidirect |
| 71. C37 | C4×#131 | semidirect |
| 126. C4 | #11924624 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924624 | 2 |
| #14558498 | 2 |
| C4×#10596953 | 2 |
| C4×D37⋊C8 | 2 |
| C4×#10596966 | 2 |
| C4×#131 | 37 |