Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
264 conjugacy classes of subgroups; only the 81 normal subgroups are shown.
This group has 264 conjugacy classes of subgroups — too many to draw. Only its 81 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. #14271220 | C2 | semidirect |
| 2. C4×#90777 | C2 | semidirect |
| 3. #14270903 | C2 | semidirect |
| 17. #11745151 | C22 | semidirect |
| 18. #11745151 | C22 | semidirect |
| 104. C29 | #1527 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271220 | 2 |
| C4×#90777 | 2 |
| #14270903 | 2 |
| C2×C29×#124 | 2 |
| #1527 | 29 |