Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
356 conjugacy classes of subgroups; only the 145 normal subgroups are shown.
This group has 356 conjugacy classes of subgroups — too many to draw. Only its 145 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. #14271566 | C2 | semidirect |
| 3. #14271563 | C2 | semidirect |
| 4. #14271561 | C2 | semidirect |
| 7. C29×#498 | C2 | semidirect |
| 41. C8×D29 | Q8 | semidirect |
| 69. #498 | D29 | semidirect |
| 91. C29 | #3160 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271718 | 2 |
| #14271566 | 2 |
| #14271563 | 2 |
| #14271561 | 2 |
| #14271198 | 2 |
| C4×C8×D29 | 2 |
| C29×#498 | 2 |
| #3160 | 29 |