Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
572 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 572 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×#11924556 | C2 | semidirect |
| 2. #14558083 | C2 | semidirect |
| 3. #14557915 | C2 | semidirect |
| 4. #14557912 | C2 | semidirect |
| 5. #14557909 | C2 | semidirect |
| 6. #14557907 | C2 | semidirect |
| 7. #14557905 | C2 | semidirect |
| 8. C2×C4×#64436 | C2 | semidirect |
| 9. C37×#532 | C2 | semidirect |
| 57. C2×#64436 | D4 | semidirect |
| 93. C4×C37 | #135 | semidirect |
| 104. #532 | D37 | semidirect |
| 111. C37 | #3147 | semidirect |
| 196. C4 | #11924556 | 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 |
| #14557915 | 2 |
| #14557912 | 2 |
| #14557909 | 2 |
| #14557907 | 2 |
| #14557905 | 2 |
| C2×C4×#64436 | 2 |
| C37×#532 | 2 |
| #3147 | 37 |