Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
148 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 148 conjugacy classes of subgroups — too many to draw. Only its 57 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 |
|---|---|---|
| 15. #11745177 | C4 | semidirect |
| 83. C29 | #2176 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11745177 | 2 |
| Q16×Dic29 | 2 |
| #14271257 | 2 |
| #14270990 | 2 |
| #14270968 | 2 |
| #14270938 | 2 |
| C29×#358 | 2 |
| #2176 | 29 |