Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
456 conjugacy classes of subgroups; only the 177 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 177 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×#11745269 | C2 | semidirect |
| 3. #14271284 | C2 | semidirect |
| 4. #14271279 | C2 | semidirect |
| 5. #14271179 | C2 | semidirect |
| 6. #14271121 | C2 | semidirect |
| 7. C29×#430 | C2 | semidirect |
| 13. #11745271 | C4 | semidirect |
| 14. #11745270 | C4 | semidirect |
| 17. #11745269 | C22 | semidirect |
| 18. #11745269 | C22 | semidirect |
| 22. C29×#108 | C22 | semidirect |
| 23. #11745173 | C22 | semidirect |
| 24. #11745163 | C22 | semidirect |
| 25. C8×Dic29 | C22 | semidirect |
| 90. #430 | D29 | semidirect |
| 111. #108 | C2×D29 | semidirect |
| 115. C29 | #2955 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271963 | 2 |
| C2×#11745269 | 2 |
| #14271284 | 2 |
| #14271279 | 2 |
| #14271179 | 2 |
| #14271121 | 2 |
| C29×#430 | 2 |
| #2955 | 29 |