Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
360 conjugacy classes of subgroups; only the 96 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 96 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. C4×#10596957 | C2 | semidirect |
| 3. #14558413 | C2 | semidirect |
| 6. #11924596 | C4 | direct (N × H) |
| 35. #10596957 | C2×C4 | semidirect |
| 88. C4×C37 | #100 | semidirect |
| 104. C37 | C4×#100 | semidirect |
| 191. C4 | #11924596 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924596 | 2 |
| C4×#10596957 | 2 |
| #14558413 | 2 |
| C2×C4×C22⋊D37 | 2 |
| C4×#100 | 37 |