Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
364 conjugacy classes of subgroups; only the 170 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 170 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. #14558584 | C2 | semidirect |
| 2. #14558583 | C2 | semidirect |
| 3. #14558582 | C2 | semidirect |
| 4. Q8×#64438 | C2 | semidirect |
| 44. D37⋊C8 | Q8 | semidirect |
| 104. C37 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558584 | 2 |
| #14558583 | 2 |
| #14558582 | 2 |
| Q8×#64438 | 2 |
| #14558540 | 2 |
| #14558537 | 2 |
| #14558498 | 2 |
| C4×D37⋊C8 | 2 |
| #14558088 | 2 |
| #2960 | 37 |