Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
456 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 145 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 |
|---|---|---|
| 1. #14558083 | C2 | semidirect |
| 2. #14557936 | C2 | semidirect |
| 3. #14557909 | C2 | semidirect |
| 4. #14557881 | C2 | semidirect |
| 5. #14557879 | C2 | semidirect |
| 6. #14557767 | C2 | semidirect |
| 7. C4×#10596939 | C2 | semidirect |
| 8. C2×C4×#64436 | C2 | semidirect |
| 9. C37×#532 | C2 | semidirect |
| 80. C2×C4×C37 | D8 | semidirect |
| 95. #64436 | #41 | semidirect |
| 122. #532 | D37 | semidirect |
| 130. C37 | #3169 | semidirect |
| 208. C2×C4 | #10596939 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558083 | 2 |
| #14557936 | 2 |
| #14557909 | 2 |
| #14557881 | 2 |
| #14557879 | 2 |
| #14557767 | 2 |
| C4×#10596939 | 2 |
| C2×C4×#64436 | 2 |
| C37×#532 | 2 |
| #3169 | 37 |