Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
170 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 170 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. #14271601 | C2 | semidirect |
| 2. #14271599 | C2 | semidirect |
| 3. #14271538 | C2 | semidirect |
| 4. #14271279 | C2 | semidirect |
| 5. #14270983 | C2 | semidirect |
| 6. #14270975 | C2 | semidirect |
| 7. C29×#361 | C2 | semidirect |
| 35. Dic116 | D4 | semidirect |
| 38. D232 | D4 | semidirect |
| 79. #361 | D29 | semidirect |
| 100. C29 | #2213 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271601 | 2 |
| #14271599 | 2 |
| #14271538 | 2 |
| #14271279 | 2 |
| #14270983 | 2 |
| #14270975 | 2 |
| C29×#361 | 2 |
| #2213 | 29 |