Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
392 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 392 conjugacy classes of subgroups — too many to draw. Only its 133 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. #14271720 | C2 | semidirect |
| 3. #14271532 | C2 | semidirect |
| 4. #14271528 | C2 | semidirect |
| 5. #14271523 | C2 | semidirect |
| 6. #14271160 | C2 | semidirect |
| 7. C2×C29×#97 | C2 | semidirect |
| 81. C2×#97 | D29 | semidirect |
| 103. C29 | #3135 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271720 | 2 |
| #14271713 | 2 |
| #14271532 | 2 |
| #14271528 | 2 |
| #14271523 | 2 |
| #14271160 | 2 |
| C2×C29×#97 | 2 |
| #3135 | 29 |