Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
154 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 47 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. #14557976 | C2 | semidirect |
| 3. #14557917 | C2 | semidirect |
| 4. #14557651 | C2 | semidirect |
| 5. #14557350 | C2 | semidirect |
| 6. #14557347 | C2 | semidirect |
| 7. C37×#364 | C2 | semidirect |
| 79. #364 | D37 | semidirect |
| 82. C37 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557976 | 2 |
| #14557971 | 2 |
| #14557917 | 2 |
| #14557651 | 2 |
| #14557350 | 2 |
| #14557347 | 2 |
| C37×#364 | 2 |
| #2212 | 37 |