Finite Group DatabasebetaFinite Group DatabasebetaOrder 19072.
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 |
|---|---|---|
| 29. #14558726 | C8 | semidirect |
| 71. C149 | #1579 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #23750674 | 2 |
| Q8×#11924753 | 2 |
| #23750487 | 2 |
| #23750475 | 2 |
| Q8⋊#11924753 | 2 |
| #23750466 | 2 |
| #23749717 | 2 |
| #1579 | 149 |