Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
520 conjugacy classes of subgroups; only the 152 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 152 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×#3866)⋊Q8 | C2 | semidirect |
| 2. #14558483 | C2 | semidirect |
| 4. #14558480 | C2 | semidirect |
| 5. #14558477 | C2 | semidirect |
| 19. #11924525 | C4 | semidirect |
| 20. #11924524 | C4 | semidirect |
| 21. #11924523 | C4 | semidirect |
| 22. #11924522 | C4 | semidirect |
| 25. #124×C37 | C4 | semidirect |
| 31. C2×Q8×C37 | C2×C4 | semidirect |
| 42. C2×Dic74 | C2×C4 | semidirect |
| 43. C2×Dic74 | C2×C4 | semidirect |
| 50. C22⋊C4×C37 | C2×C4 | semidirect |
| 51. C42×C37 | C2×C4 | semidirect |
| 52. C22⋊Dic37 | C2×C4 | semidirect |
| 53. #10596938 | C2×C4 | semidirect |
| 54. #10596938 | C2×C4 | semidirect |
| 55. C4×Dic37 | C2×C4 | semidirect |
| 56. C4×Dic37 | C2×C4 | semidirect |
| 123. C37 | #2379 | semidirect |
| 131. #124 | #3866 | semidirect |
| 148. C2×Q8 | C2×#3866 | semidirect |
| 169. C22⋊C4 | C2×#3866 | semidirect |
| 173. C42 | C2×#3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| (C2×#3866)⋊Q8 | 2 |
| #14558483 | 2 |
| #14558481 | 2 |
| #14558480 | 2 |
| #14558477 | 2 |
| #124×D37 | 2 |
| #2379 | 37 |