Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
492 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 175 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 |
|---|---|---|
| 2. C4×#10596966 | C2 | semidirect |
| 3. #14557646 | C2 | semidirect |
| 4. #14557644 | C2 | semidirect |
| 5. #14557640 | C2 | semidirect |
| 6. #14557636 | C2 | semidirect |
| 7. #14557631 | C2 | semidirect |
| 8. #14557568 | C2 | semidirect |
| 9. #14557528 | C2 | semidirect |
| 10. #97×D37 | C2 | semidirect |
| 11. C37×#441 | C2 | semidirect |
| 13. #11924559 | C4 | semidirect |
| 42. #10596966 | C2×C4 | semidirect |
| 50. Q16×C37 | C2×C4 | semidirect |
| 57. #10596941 | C2×C4 | semidirect |
| 69. D296 | C2×C4 | semidirect |
| 71. C8×D37 | C2×C4 | semidirect |
| 120. #441 | D37 | semidirect |
| 126. C37 | #2943 | semidirect |
| 165. Q16 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924559 | 2 |
| C4×#10596966 | 2 |
| #14557646 | 2 |
| #14557644 | 2 |
| #14557640 | 2 |
| #14557636 | 2 |
| #14557631 | 2 |
| #14557568 | 2 |
| #14557528 | 2 |
| #97×D37 | 2 |
| C37×#441 | 2 |
| #2943 | 37 |