Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
532 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
| 3. C22×Dic116 | C2 | semidirect |
| 4. #14271739 | C2 | semidirect |
| 5. #14271557 | C2 | semidirect |
| 6. #14271547 | C2 | semidirect |
| 7. #14271543 | C2 | semidirect |
| 8. C29×#405 | C2 | semidirect |
| 100. #405 | D29 | semidirect |
| 126. C29 | #3156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745271 | 2 |
| C2×#11745266 | 2 |
| C22×Dic116 | 2 |
| #14271739 | 2 |
| #14271557 | 2 |
| #14271547 | 2 |
| #14271543 | 2 |
| C29×#405 | 2 |
| #3156 | 29 |