Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
584 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 584 conjugacy classes of subgroups — too many to draw. Only its 194 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 |
|---|---|---|
| 116. C73 | #23372 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626033 | 2 |
| #22625991 | 2 |
| #22625988 | 2 |
| #22625846 | 2 |
| #125×Dic73 | 2 |
| #23372 | 73 |