Finite Group DatabasebetaFinite Group DatabasebetaOrder 20096.
228 conjugacy classes of subgroups; only the 68 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 68 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 |
|---|---|---|
| 5. C22×#11929441 | C4 | semidirect |
| 9. C22⋊#11929441 | C4 | semidirect |
| 28. C22⋊Dic157 | C8 | semidirect |
| 33. C22⋊C4×C157 | C8 | semidirect |
| 93. C157 | #1282 | semidirect |
| 126. C22⋊C4 | #11929441 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊#11929441 | 2 |
| C22⋊C4×Dic157 | 2 |
| #1282 | 157 |