Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
282 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 282 conjugacy classes of subgroups — too many to draw. Only its 69 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. #14558161 | C2 | semidirect |
| 4. #14557301 | C2 | semidirect |
| 5. #14557294 | C2 | semidirect |
| 6. #14557292 | C2 | semidirect |
| 31. C2×D4×C37 | Q8 | semidirect |
| 120. C37 | #2027 | semidirect |
| 145. C2×D4 | Dic74 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14558161 | 2 |
| #14557538 | 2 |
| #14557436 | 2 |
| #14557301 | 2 |
| #14557294 | 2 |
| #14557292 | 2 |
| C37×#418 | 2 |
| #2027 | 37 |