Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
160 conjugacy classes of subgroups; only the 64 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 64 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 |
|---|---|---|
| 20. Dic404 | C8 | semidirect |
| 50. C101 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266226 | 2 |
| #20266038 | 2 |
| #20266027 | 2 |
| #20266018 | 2 |
| #20265271 | 2 |
| #1579 | 101 |