Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
344 conjugacy classes of subgroups; only the 78 normal subgroups are shown.
This group has 344 conjugacy classes of subgroups — too many to draw. Only its 78 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×#11924599 | C2 | semidirect |
| 4. C4×C4⋊#3866 | C2 | semidirect |
| 16. #11924525 | C4 | semidirect |
| 17. #11924524 | C4 | semidirect |
| 18. #11924523 | C4 | semidirect |
| 24. #124×C37 | C4 | semidirect |
| 128. C37 | #1983 | semidirect |
| 137. #124 | #3866 | 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×#11924599 | 2 |
| C2×#11924598 | 2 |
| C4×C4⋊#3866 | 2 |
| #124×D37 | 2 |
| #1983 | 37 |