Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
220 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 65 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. #14271537 | C2 | semidirect |
| 3. #14271511 | C2 | semidirect |
| 4. #14270884 | C2 | semidirect |
| 5. C29×#498 | C2 | semidirect |
| 37. C8×C29 | SD16 | semidirect |
| 48. #498 | D29 | semidirect |
| 66. C29 | #1715 | semidirect |
| 90. C8 | #90784 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271540 | 2 |
| #14271537 | 2 |
| #14271511 | 2 |
| #14270884 | 2 |
| C29×#498 | 2 |
| #1715 | 29 |