Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
228 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 77 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 |
|---|---|---|
| 4. C22×C227⋊C8 | C4 | semidirect |
| 9. C227⋊#95 | C4 | semidirect |
| 13. #95×C227 | C4 | semidirect |
| 90. C227 | #1289 | semidirect |
| 104. #95 | Dic227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C22⋊(C227⋊C8) | 2 |
| #28408892 | 2 |
| #380×C227 | 2 |
| #1289 | 227 |