Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
284 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 4. #14271121 | C2 | semidirect |
| 5. #14271119 | C2 | semidirect |
| 6. #14270934 | C2 | semidirect |
| 7. C29×#344 | C2 | semidirect |
| 19. C2×#90772 | C4 | semidirect |
| 20. C2×C8×D29 | C4 | semidirect |
| 21. #11745172 | C4 | semidirect |
| 22. #11745171 | C4 | semidirect |
| 108. #344 | D29 | semidirect |
| 134. C29 | #1757 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745269 | 2 |
| #14271145 | 2 |
| #14271136 | 2 |
| #14271121 | 2 |
| #14271119 | 2 |
| #14270934 | 2 |
| C29×#344 | 2 |
| #1757 | 29 |