Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
200 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 83 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 |
|---|---|---|
| 13. #20300221 | C4 | semidirect |
| 14. #20300219 | C4 | semidirect |
| 75. C227 | #1946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20300223 | 2 |
| #28409068 | 2 |
| #28409060 | 2 |
| #28409059 | 2 |
| C2×#20300199 | 2 |
| #28408792 | 2 |
| #339×C227 | 2 |
| #1946 | 227 |