Finite Group DatabasebetaFinite Group DatabasebetaOrder 4736.
484 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 141 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. C2×#11924542 | C2 | semidirect |
| 2. #14558111 | C2 | semidirect |
| 3. #14557776 | C2 | semidirect |
| 4. #14557771 | C2 | semidirect |
| 5. #14557766 | C2 | semidirect |
| 6. C2×#11924470 | C2 | semidirect |
| 7. #14557534 | C2 | semidirect |
| 8. C2×#135×C37 | C2 | semidirect |
| 48. C2×C8×C37 | D4 | semidirect |
| 109. C2×#135 | D37 | semidirect |
| 117. C37 | #3061 | semidirect |
| 161. C2×C8 | C22⋊D37 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11924542 | 2 |
| #14558111 | 2 |
| #14557776 | 2 |
| #14557771 | 2 |
| #14557766 | 2 |
| C2×#11924470 | 2 |
| #14557534 | 2 |
| C2×#135×C37 | 2 |
| #3061 | 37 |