Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
260 conjugacy classes of subgroups; only the 114 normal subgroups are shown.
This group has 260 conjugacy classes of subgroups — too many to draw. Only its 114 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 |
|---|---|---|
| 3. #22624845 | C2 | semidirect |
| 4. #22624845 | C2 | semidirect |
| 5. #22624842 | C2 | semidirect |
| 6. C16×#10596833 | C2 | semidirect |
| 113. C73 | #11412 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22626291 | 2 |
| #22625135 | 2 |
| #22624845 | 2 |
| #22624842 | 2 |
| C16×#10596833 | 2 |
| #22611729 | 2 |
| #11412 | 73 |