Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
564 conjugacy classes of subgroups; only the 149 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 149 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×#11924556 | C2 | semidirect |
| 2. #14558083 | C2 | semidirect |
| 3. #14557928 | C2 | semidirect |
| 4. #14557925 | C2 | semidirect |
| 5. #14557923 | C2 | semidirect |
| 6. #14557920 | C2 | semidirect |
| 7. C2×#11924447 | C2 | semidirect |
| 8. C37×#532 | C2 | semidirect |
| 55. C2×#64436 | D4 | semidirect |
| 100. #532 | D37 | semidirect |
| 106. C37 | #3150 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924556 | 2 |
| #14558083 | 2 |
| #14557928 | 2 |
| #14557925 | 2 |
| #14557923 | 2 |
| #14557920 | 2 |
| C2×#11924447 | 2 |
| C37×#532 | 2 |
| #3150 | 37 |