Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
428 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 428 conjugacy classes of subgroups — too many to draw. Only its 88 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. D37⋊(C4⋊C8) | C2 | semidirect |
| 2. C2×#11924598 | C2 | semidirect |
| 3. C4×C4⋊#3866 | C2 | semidirect |
| 15. #11924533 | C4 | semidirect |
| 18. #11924532 | C4 | semidirect |
| 20. #127×C37 | C4 | semidirect |
| 42. C4⋊#3866 | D4 | semidirect |
| 96. C4×C37 | #102 | semidirect |
| 99. Dic37 | #102 | semidirect |
| 114. C37 | #1982 | semidirect |
| 123. #127 | #3866 | semidirect |
| 210. C4 | #11924598 | 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×#11924598 | 2 |
| C4×C4⋊#3866 | 2 |
| #127×D37 | 2 |
| #1982 | 37 |