Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
380 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 129 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. C2×#11745183 | C2 | semidirect |
| 4. #14270925 | C2 | semidirect |
| 9. C29×C22⋊Q8 | C4 | semidirect |
| 76. C22×C29 | #103 | semidirect |
| 106. C22⋊Q8 | Dic29 | semidirect |
| 114. C29 | #1892 | semidirect |
| 170. C22 | #11745183 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6597 | 2 |
| C2×#11745183 | 2 |
| #14271023 | 2 |
| #14270925 | 2 |
| C2×C29×C22⋊Q8 | 2 |
| #1892 | 29 |