Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 135 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 135 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×#11745271 | C2 | semidirect |
| 2. C2×#11745313 | C2 | semidirect |
| 4. C2×#11745249 | C2 | semidirect |
| 5. #14271388 | C2 | semidirect |
| 6. #14271384 | C2 | semidirect |
| 7. #14271372 | C2 | semidirect |
| 8. #14271362 | C2 | semidirect |
| 9. #14271186 | C2 | semidirect |
| 10. #14271162 | C2 | semidirect |
| 11. C29×#417 | C2 | semidirect |
| 65. C2×Dic58 | D4 | semidirect |
| 151. Dic29 | #137 | semidirect |
| 162. #417 | D29 | semidirect |
| 202. C29 | #3037 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745271 | 2 |
| C2×#11745313 | 2 |
| #14271709 | 2 |
| C2×#11745249 | 2 |
| #14271388 | 2 |
| #14271384 | 2 |
| #14271372 | 2 |
| #14271362 | 2 |
| #14271186 | 2 |
| #14271162 | 2 |
| C29×#417 | 2 |
| #3037 | 29 |