Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
168 conjugacy classes of subgroups; only the 67 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 67 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. #14557663 | C2 | semidirect |
| 4. #14557284 | C2 | semidirect |
| 5. #14557265 | C2 | semidirect |
| 7. C37×#322 | C2 | semidirect |
| 58. C8×C37 | SD16 | semidirect |
| 84. #322 | D37 | semidirect |
| 85. C37 | #1582 | semidirect |
| 138. C8 | #10596930 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14557663 | 2 |
| C4×#10596930 | 2 |
| C8×D148 | 2 |
| #14557284 | 2 |
| #14557265 | 2 |
| #14557262 | 2 |
| C37×#322 | 2 |
| #1582 | 37 |