Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
334 conjugacy classes of subgroups; only the 88 normal subgroups are shown.
This group has 334 conjugacy classes of subgroups — too many to draw. Only its 88 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 |
|---|---|---|
| 163. C73 | #9551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625484 | 2 |
| #22625235 | 2 |
| C2×#17989437 | 2 |
| #22625138 | 2 |
| #22624777 | 2 |
| #22624764 | 2 |
| #22609726 | 2 |
| #9551 | 73 |