Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
142 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 59 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. #14271270 | C2 | semidirect |
| 3. #14270986 | C2 | semidirect |
| 4. #14270979 | C2 | semidirect |
| 6. #14270940 | C2 | semidirect |
| 12. C29×Q32 | C4 | semidirect |
| 13. C29×SD32 | C4 | semidirect |
| 76. Q32 | Dic29 | semidirect |
| 77. SD32 | Dic29 | semidirect |
| 85. C29 | #2180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271285 | 2 |
| #14271270 | 2 |
| #14270986 | 2 |
| #14270979 | 2 |
| #14270973 | 2 |
| #14270940 | 2 |
| C29×#510 | 2 |
| #2180 | 29 |