Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
286 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 286 conjugacy classes of subgroups — too many to draw. Only its 63 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. #14271125 | C2 | semidirect |
| 3. #14271022 | C2 | semidirect |
| 4. #14270901 | C2 | semidirect |
| 5. #14270899 | C2 | semidirect |
| 6. #14270897 | C2 | semidirect |
| 7. C29×#327 | C2 | semidirect |
| 8. C2×#90807 | C4 | semidirect |
| 11. #11745300 | C4 | semidirect |
| 18. #11745259 | C4 | semidirect |
| 19. #11745254 | C4 | semidirect |
| 127. #327 | D29 | semidirect |
| 155. C29 | #1513 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271673 | 2 |
| #14271125 | 2 |
| #14271022 | 2 |
| #14270901 | 2 |
| #14270899 | 2 |
| #14270897 | 2 |
| C29×#327 | 2 |
| #1513 | 29 |