Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
948 conjugacy classes of subgroups; only the 208 normal subgroups are shown.
This group has 948 conjugacy classes of subgroups — too many to draw. Only its 208 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. #22626786 | C2 | semidirect |
| 2. #22625209 | C2 | semidirect |
| 3. #22625197 | C2 | semidirect |
| 4. #22625194 | C2 | semidirect |
| 5. #22625182 | C2 | semidirect |
| 183. C73 | #17407 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626786 | 2 |
| #22625209 | 2 |
| #22625197 | 2 |
| #22625194 | 2 |
| #22625182 | 2 |
| C2×#17989210 | 2 |
| #17407 | 73 |