Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
386 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 386 conjugacy classes of subgroups — too many to draw. Only its 125 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 |
|---|---|---|
| 3. #14271503 | C2 | semidirect |
| 4. #14271502 | C2 | semidirect |
| 5. #14271497 | C2 | semidirect |
| 6. #14271492 | C2 | semidirect |
| 7. #14271205 | C2 | semidirect |
| 8. #14271199 | C2 | semidirect |
| 9. C2×#11745183 | C2 | semidirect |
| 11. C29×#419 | C2 | semidirect |
| 130. #419 | D29 | semidirect |
| 167. C29 | #3097 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271737 | 2 |
| #14271643 | 2 |
| #14271503 | 2 |
| #14271502 | 2 |
| #14271497 | 2 |
| #14271492 | 2 |
| #14271205 | 2 |
| #14271199 | 2 |
| C2×#11745183 | 2 |
| #14271131 | 2 |
| C29×#419 | 2 |
| #3097 | 29 |