Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
336 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 336 conjugacy classes of subgroups — too many to draw. Only its 125 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×#11745156 | C2 | semidirect |
| 4. #14270925 | C2 | semidirect |
| 12. C22×#6597 | C4 | semidirect |
| 60. #6597 | C22⋊C4 | semidirect |
| 66. C22×C29 | #106 | semidirect |
| 101. C29 | #1807 | semidirect |
| 149. C22 | #11745156 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#6597 | 2 |
| C2×#11745156 | 2 |
| #14271023 | 2 |
| #14270925 | 2 |
| C29×#380 | 2 |
| #1807 | 29 |