Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
154 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 43 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. #14271604 | C2 | semidirect |
| 3. #14271548 | C2 | semidirect |
| 4. #14271279 | C2 | semidirect |
| 5. #14270983 | C2 | semidirect |
| 6. #14270975 | C2 | semidirect |
| 7. C29×#362 | C2 | semidirect |
| 76. #362 | D29 | semidirect |
| 97. C29 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271604 | 2 |
| #14271601 | 2 |
| #14271548 | 2 |
| #14271279 | 2 |
| #14270983 | 2 |
| #14270975 | 2 |
| C29×#362 | 2 |
| #2212 | 29 |