Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
456 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 456 conjugacy classes of subgroups — too many to draw. Only its 181 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. #28409136 | C2 | semidirect |
| 5. #28409124 | C2 | semidirect |
| 11. C2×#16813874 | C4 | semidirect |
| 98. C227 | #2950 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#16813874 | 2 |
| #28409510 | 2 |
| #28409509 | 2 |
| #28409136 | 2 |
| #28409124 | 2 |
| #28409068 | 2 |
| #28409042 | 2 |
| #28408990 | 2 |
| #419×C227 | 2 |
| #2950 | 227 |