Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
382 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 382 conjugacy classes of subgroups — too many to draw. Only its 115 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. #14271888 | C2 | semidirect |
| 3. #14271526 | C2 | semidirect |
| 4. #14271465 | C2 | semidirect |
| 5. #14271440 | C2 | semidirect |
| 6. #14271362 | C2 | semidirect |
| 7. #14271360 | C2 | semidirect |
| 8. #14271293 | C2 | semidirect |
| 9. #14271260 | C2 | semidirect |
| 10. C4×#90773 | C2 | semidirect |
| 11. C29×#486 | C2 | semidirect |
| 98. Dic58 | #41 | semidirect |
| 123. #486 | D29 | semidirect |
| 165. C29 | #3368 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271888 | 2 |
| #14271833 | 2 |
| #14271526 | 2 |
| #14271465 | 2 |
| #14271440 | 2 |
| #14271362 | 2 |
| #14271360 | 2 |
| #14271293 | 2 |
| #14271260 | 2 |
| C4×#90773 | 2 |
| C29×#486 | 2 |
| #3368 | 29 |