Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
170 conjugacy classes of subgroups; only the 37 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 37 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 |
|---|---|---|
| 2. #14270889 | C2 | semidirect |
| 3. C29×#324 | C2 | semidirect |
| 19. C2×D116 | C8 | semidirect |
| 69. #324 | D29 | semidirect |
| 83. C29 | #1318 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271064 | 2 |
| #14270889 | 2 |
| C29×#324 | 2 |
| #1318 | 29 |