Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
568 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 568 conjugacy classes of subgroups — too many to draw. Only its 157 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. C2×C4×Dic74 | C2 | semidirect |
| 3. #14557473 | C2 | semidirect |
| 4. #14557460 | C2 | semidirect |
| 6. #14557446 | C2 | semidirect |
| 7. C4×#10596938 | C2 | semidirect |
| 8. C37×#376 | C2 | semidirect |
| 104. #376 | D37 | semidirect |
| 105. C37 | #2398 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic74 | 2 |
| C2×C4×D148 | 2 |
| #14557473 | 2 |
| #14557460 | 2 |
| #14557451 | 2 |
| #14557446 | 2 |
| C4×#10596938 | 2 |
| C37×#376 | 2 |
| #2398 | 37 |