Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
466 conjugacy classes of subgroups; only the 98 normal subgroups are shown.
This group has 466 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 |
|---|---|---|
| 1. #22625480 | C2 | semidirect |
| 2. #22625235 | C2 | semidirect |
| 4. #22625175 | C2 | semidirect |
| 6. #22625144 | C2 | semidirect |
| 204. C73 | #9672 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625480 | 2 |
| #22625235 | 2 |
| #22625232 | 2 |
| #22625175 | 2 |
| #22625172 | 2 |
| #22625144 | 2 |
| C2×#17988674 | 2 |
| #9672 | 73 |