Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
272 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 272 conjugacy classes of subgroups — too many to draw. Only its 98 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 |
|---|---|---|
| 136. C73 | #13106 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626268 | 2 |
| #22626142 | 2 |
| #22624986 | 2 |
| #22624976 | 2 |
| #22624970 | 2 |
| #22609813 | 2 |
| #13106 | 73 |