Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
174 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 174 conjugacy classes of subgroups — too many to draw. Only its 74 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×D37⋊C16 | C2 | semidirect |
| 2. C4⋊#10596927 | C2 | semidirect |
| 3. #14558428 | C2 | semidirect |
| 4. C4×#10596927 | C2 | semidirect |
| 27. #10596927 | D4 | semidirect |
| 33. D148 | C16 | semidirect |
| 43. C2×D37 | C2×C16 | semidirect |
| 45. C4×C37 | C2×C16 | semidirect |
| 59. C37 | D4×C16 | semidirect |
| 100. C4 | D37⋊C16 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D37⋊C16 | 2 |
| C4⋊#10596927 | 2 |
| #14558428 | 2 |
| C4×#10596927 | 2 |
| #14557598 | 2 |
| D4×C16 | 37 |