Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
216 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 216 conjugacy classes of subgroups — too many to draw. Only its 73 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. #14270912 | C2 | semidirect |
| 5. #14270910 | C2 | semidirect |
| 6. #14270908 | C2 | semidirect |
| 7. C29×#333 | C2 | semidirect |
| 88. #333 | D29 | semidirect |
| 112. C29 | #1550 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271718 | 2 |
| #14271185 | 2 |
| C4⋊C8×D29 | 2 |
| #14270912 | 2 |
| #14270910 | 2 |
| #14270908 | 2 |
| C29×#333 | 2 |
| #1550 | 29 |