Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
228 conjugacy classes of subgroups; only the 79 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 79 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×#11924475 | C2 | semidirect |
| 3. C2×C16×D37 | C2 | semidirect |
| 4. C22⋊#10596925 | C2 | semidirect |
| 5. #14557312 | C2 | semidirect |
| 6. #14557312 | C2 | semidirect |
| 7. C37×C22⋊C16 | C2 | semidirect |
| 99. C22⋊C16 | D37 | semidirect |
| 100. C37 | #2113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| C2×#11924475 | 2 |
| C2×C16×D37 | 2 |
| C22⋊#10596925 | 2 |
| #14557312 | 2 |
| C37×C22⋊C16 | 2 |
| #2113 | 37 |