Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
430 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 430 conjugacy classes of subgroups — too many to draw. Only its 125 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. #14271713 | C2 | semidirect |
| 2. #14271454 | C2 | semidirect |
| 3. #14271416 | C2 | semidirect |
| 4. #14271359 | C2 | semidirect |
| 5. C29×#423 | C2 | semidirect |
| 74. #423 | D29 | semidirect |
| 93. C29 | #3253 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271713 | 2 |
| #14271454 | 2 |
| #14271416 | 2 |
| #14271359 | 2 |
| C29×#423 | 2 |
| #3253 | 29 |