Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
392 conjugacy classes of subgroups; only the 156 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 156 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. #14558558 | C2 | semidirect |
| 2. #14558556 | C2 | semidirect |
| 3. #14558551 | C2 | semidirect |
| 4. #14558538 | C2 | semidirect |
| 5. D37⋊(C4⋊C8) | C2 | semidirect |
| 7. #14558498 | C2 | semidirect |
| 117. C37 | #2925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558558 | 2 |
| #14558556 | 2 |
| #14558551 | 2 |
| #14558538 | 2 |
| D37⋊(C4⋊C8) | 2 |
| #14558508 | 2 |
| #14558498 | 2 |
| C4×#10596966 | 2 |
| #2925 | 37 |