Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 484 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. #14558012 | C2 | semidirect |
| 3. #14557645 | C2 | semidirect |
| 4. #14557641 | C2 | semidirect |
| 5. #14557639 | C2 | semidirect |
| 6. #14557624 | C2 | semidirect |
| 7. C4×#10596940 | C2 | semidirect |
| 8. #106×D37 | C2 | semidirect |
| 9. #14557531 | C2 | semidirect |
| 10. #14557490 | C2 | semidirect |
| 11. C37×#442 | C2 | semidirect |
| 13. #11924555 | C4 | semidirect |
| 46. #10596964 | C2×C4 | semidirect |
| 50. D8×C37 | C2×C4 | semidirect |
| 57. #10596940 | C2×C4 | semidirect |
| 69. Dic148 | C2×C4 | semidirect |
| 71. C8×D37 | C2×C4 | semidirect |
| 118. #442 | D37 | semidirect |
| 126. C37 | #2952 | semidirect |
| 167. D8 | C4×D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924555 | 2 |
| #14558012 | 2 |
| #14557645 | 2 |
| #14557641 | 2 |
| #14557639 | 2 |
| #14557624 | 2 |
| C4×#10596940 | 2 |
| #106×D37 | 2 |
| #14557531 | 2 |
| #14557490 | 2 |
| C37×#442 | 2 |
| #2952 | 37 |