Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
702 conjugacy classes of subgroups; only the 108 normal subgroups are shown.
This group has 702 conjugacy classes of subgroups — too many to draw. Only its 108 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. C4×C22⋊#10596833 | C2 | semidirect |
| 2. #22625594 | C2 | semidirect |
| 3. #22624748 | C2 | semidirect |
| 4. #22624747 | C2 | semidirect |
| 234. C73 | #7684 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C4×C22⋊#10596833 | 2 |
| #22625594 | 2 |
| #22624748 | 2 |
| #22624747 | 2 |
| #22618274 | 2 |
| #7684 | 73 |