Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
160 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 73 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 |
|---|---|---|
| 17. Dic628 | C8 | semidirect |
| 49. C157 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C8×Dic314 | 2 |
| C4×Dic628 | 2 |
| #23757024 | 2 |
| #23757005 | 2 |
| #322×C157 | 2 |
| #1579 | 157 |