Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 131 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×#11924565 | C2 | semidirect |
| 3. C4×Q8×D37 | C2 | semidirect |
| 4. #14557754 | C2 | semidirect |
| 5. #14557753 | C2 | semidirect |
| 6. #14557744 | C2 | semidirect |
| 7. #14557743 | C2 | semidirect |
| 8. #14557730 | C2 | semidirect |
| 9. #14557555 | C2 | semidirect |
| 10. #14557531 | C2 | semidirect |
| 11. C37×#460 | C2 | semidirect |
| 51. Q8×D37 | D4 | semidirect |
| 132. C4×C37 | #137 | semidirect |
| 155. #460 | D37 | semidirect |
| 158. C37 | #3037 | semidirect |
| 285. C4 | #11924565 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924565 | 2 |
| #14558081 | 2 |
| C4×Q8×D37 | 2 |
| #14557754 | 2 |
| #14557753 | 2 |
| #14557744 | 2 |
| #14557743 | 2 |
| #14557730 | 2 |
| #14557555 | 2 |
| #14557531 | 2 |
| C37×#460 | 2 |
| #3037 | 37 |