Finite Group DatabasebetaFinite Group DatabasebetaOrder 3712.
200 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 93 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 |
|---|---|---|
| 11. #11745163 | C4 | semidirect |
| 12. C8×Dic29 | C4 | semidirect |
| 13. #11745151 | C4 | semidirect |
| 14. C4×#6597 | C4 | semidirect |
| 69. C29 | #1747 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #14271121 | 2 |
| #14271119 | 2 |
| #14270921 | 2 |
| #14270919 | 2 |
| C29×H(3,ℤ/4) | 2 |
| #1747 | 29 |