Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
484 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 143 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×#11745304 | C2 | semidirect |
| 3. C2×Q8×Dic29 | C2 | semidirect |
| 4. #14271387 | C2 | semidirect |
| 5. #14271383 | C2 | semidirect |
| 6. #14271371 | C2 | semidirect |
| 7. #14271361 | C2 | semidirect |
| 8. #14271186 | C2 | semidirect |
| 9. #14271165 | C2 | semidirect |
| 10. #14271164 | C2 | semidirect |
| 11. C2×C29×#137 | C2 | semidirect |
| 49. C2×Q8×C29 | D4 | semidirect |
| 151. Dic29 | #137 | semidirect |
| 153. C2×#137 | D29 | semidirect |
| 202. C29 | #3037 | semidirect |
| 210. C2×Q8 | C22⋊D29 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745304 | 2 |
| #14271709 | 2 |
| C2×Q8×Dic29 | 2 |
| #14271387 | 2 |
| #14271383 | 2 |
| #14271371 | 2 |
| #14271361 | 2 |
| #14271186 | 2 |
| #14271165 | 2 |
| #14271164 | 2 |
| C2×C29×#137 | 2 |
| #3037 | 29 |