Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
126 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 47 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. #14271561 | C2 | semidirect |
| 3. #14270986 | C2 | semidirect |
| 5. C29×#364 | C2 | semidirect |
| 23. Dic116 | Q8 | semidirect |
| 24. D232 | Q8 | semidirect |
| 53. #364 | D29 | semidirect |
| 67. C29 | #2230 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271561 | 2 |
| #14271281 | 2 |
| #14270986 | 2 |
| #14270974 | 2 |
| C29×#364 | 2 |
| #2230 | 29 |