Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
362 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 29. C22⋊#10596833 | C8 | semidirect |
| 33. C22⋊#10596831 | C8 | semidirect |
| 35. C22⋊C8×C73 | C8 | semidirect |
| 154. C73 | #7033 | semidirect |
| 185. C22⋊C8 | #10596842 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22627072 | 2 |
| #22627071 | 2 |
| #22625659 | 2 |
| #7033 | 73 |