Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
126 conjugacy classes of subgroups; only the 32 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 32 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. #14558428 | C2 | semidirect |
| 2. #14558407 | C2 | semidirect |
| 6. C2×D296 | C4 | semidirect |
| 10. #107×C37 | C4 | semidirect |
| 63. C37 | #1347 | semidirect |
| 69. #107 | #3866 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558428 | 2 |
| #14558407 | 2 |
| #14557770 | 2 |
| #1347 | 37 |