Finite Group DatabasebetaFinite Group DatabasebetaOrder 18688.
380 conjugacy classes of subgroups; only the 94 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 94 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⋊#10596831 | C8 | semidirect |
| 34. C22⋊C8×C73 | C8 | semidirect |
| 147. C73 | #7021 | semidirect |
| 176. C22⋊C8 | #10596833 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #22625821 | 2 |
| C4×C22⋊#10596833 | 2 |
| #22609695 | 2 |
| #7021 | 73 |