Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
480 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 170 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. #14558573 | C2 | direct (N × H) |
| 18. C2×Dic148 | C4 | semidirect |
| 19. C2×#10596942 | C4 | semidirect |
| 20. Q16×D37 | C4 | semidirect |
| 23. C2×Q16×C37 | C4 | semidirect |
| 44. Q16×C37 | C2×C4 | semidirect |
| 46. #10596942 | C2×C4 | semidirect |
| 48. Dic148 | C2×C4 | semidirect |
| 88. C2×C37 | #441 | semidirect |
| 90. D37 | #441 | semidirect |
| 98. C37 | C2×#441 | semidirect |
| 104. C2×Q16 | #3866 | semidirect |
| 129. Q16 | C2×#3866 | semidirect |
| 181. C2 | #14558573 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Q8×#3866 | 2 |
| #14558573 | 2 |
| C2×#11924604 | 2 |
| C2×#11924599 | 2 |
| C2×#11924590 | 2 |
| C2×Q16×D37 | 2 |
| C2×#441 | 37 |