Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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. #14271172 | C2 | semidirect |
| 5. #14270933 | C2 | semidirect |
| 6. #14270919 | C2 | semidirect |
| 7. C29×#519 | C2 | semidirect |
| 15. C2×#90785 | C4 | semidirect |
| 18. C2×#90784 | C4 | semidirect |
| 106. #519 | D29 | semidirect |
| 134. C29 | #1905 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745304 | 2 |
| #14271181 | 2 |
| #14271172 | 2 |
| #14271136 | 2 |
| #14270933 | 2 |
| #14270919 | 2 |
| C29×#519 | 2 |
| #1905 | 29 |