Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
872 conjugacy classes of subgroups; only the 275 normal subgroups are shown.
This group has 872 conjugacy classes of subgroups — too many to draw. Only its 275 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 |
|---|---|---|
| 2. C2×Q8×Dic37 | C2 | semidirect |
| 3. #14557435 | C2 | semidirect |
| 4. #14557434 | C2 | semidirect |
| 5. #14557390 | C2 | semidirect |
| 6. C4×#10596938 | C2 | semidirect |
| 7. C2×C4×Q8×C37 | C2 | semidirect |
| 10. C2×#10596966 | C4 | semidirect |
| 57. Q8×C37 | C22⋊C4 | semidirect |
| 66. C2×C4×C37 | #41 | semidirect |
| 75. C2×Dic37 | #41 | semidirect |
| 109. C2×C4×Q8 | D37 | semidirect |
| 114. C37 | #2341 | semidirect |
| 164. Q8 | #10596938 | semidirect |
| 183. C2×C4 | #10596966 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#10596966 | 2 |
| C2×Q8×Dic37 | 2 |
| #14557435 | 2 |
| #14557434 | 2 |
| #14557390 | 2 |
| C4×#10596938 | 2 |
| C2×C4×Q8×C37 | 2 |
| #2341 | 37 |