Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
396 conjugacy classes of subgroups; only the 110 normal subgroups are shown.
This group has 396 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 |
|---|---|---|
| 2. C4×D37⋊C8 | C2 | semidirect |
| 3. C4×C4⋊#3866 | C2 | semidirect |
| 4. #14558406 | C2 | semidirect |
| 9. #11924598 | C4 | direct (N × H) |
| 15. C4×D148 | C4 | semidirect |
| 16. D4×Dic37 | C4 | semidirect |
| 17. #11924498 | C4 | semidirect |
| 23. C4×D4×C37 | C4 | semidirect |
| 43. C4⋊#3866 | C2×C4 | semidirect |
| 46. D37⋊C8 | C2×C4 | semidirect |
| 69. D4×C37 | C42 | semidirect |
| 82. D148 | C42 | semidirect |
| 109. C4×C37 | #102 | semidirect |
| 114. Dic37 | #102 | semidirect |
| 129. C37 | C4×#102 | semidirect |
| 138. C4×D4 | #3866 | semidirect |
| 193. D4 | C4×#3866 | semidirect |
| 237. C4 | #11924598 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924598 | 2 |
| C4×D37⋊C8 | 2 |
| C4×C4⋊#3866 | 2 |
| #14558406 | 2 |
| C4×D4×D37 | 2 |
| C4×#102 | 37 |