Finite Group DatabasebetaFinite Group DatabasebetaOrder 23168.
160 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 160 conjugacy classes of subgroups — too many to draw. Only its 71 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. Dic724 | C8 | semidirect |
| 49. C181 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #26041403 | 2 |
| C4×Dic724 | 2 |
| #26041009 | 2 |
| #26041000 | 2 |
| #334×C181 | 2 |
| #1579 | 181 |