Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
132 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 132 conjugacy classes of subgroups — too many to draw. Only its 45 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. #14270990 | C2 | semidirect |
| 4. #14270989 | C2 | semidirect |
| 5. #14270967 | C2 | semidirect |
| 7. C29×#358 | C2 | semidirect |
| 67. #358 | D29 | semidirect |
| 84. C29 | #2237 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271401 | 2 |
| #14271200 | 2 |
| #14270990 | 2 |
| #14270989 | 2 |
| #14270967 | 2 |
| #14270942 | 2 |
| C29×#358 | 2 |
| #2237 | 29 |