Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
170 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 170 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. #14557971 | C2 | semidirect |
| 2. #14557910 | C2 | semidirect |
| 3. #14557651 | C2 | semidirect |
| 4. #14557347 | C2 | semidirect |
| 5. C37×#364 | C2 | semidirect |
| 24. Dic148 | D4 | semidirect |
| 29. D296 | D4 | semidirect |
| 65. #364 | D37 | semidirect |
| 67. C37 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557971 | 2 |
| #14557910 | 2 |
| #14557651 | 2 |
| #14557347 | 2 |
| C37×#364 | 2 |
| #2213 | 37 |