Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
272 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 110 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 |
|---|---|---|
| 9. #11924603 | C4 | semidirect |
| 10. C4⋊#64438 | C4 | semidirect |
| 16. C4×#64436 | C4 | semidirect |
| 17. C8×Dic37 | C4 | semidirect |
| 18. C8×Dic37 | C4 | semidirect |
| 19. C4×C8×C37 | C4 | semidirect |
| 60. C8×C37 | C4⋊C4 | semidirect |
| 62. #64436 | C4⋊C4 | semidirect |
| 70. C4×C37 | #97 | semidirect |
| 74. Dic37 | #97 | semidirect |
| 88. C37 | #1770 | semidirect |
| 101. C4×C8 | #3866 | semidirect |
| 145. C8 | C4⋊#3866 | semidirect |
| 157. C4 | #11924590 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| D37⋊(C4⋊C8) | 2 |
| C2×#11924590 | 2 |
| C4×C4⋊#3866 | 2 |
| (C2×#3866)⋊C8 | 2 |
| C4×C8×D37 | 2 |
| #1770 | 37 |