Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
200 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 9. #20300222 | C4 | semidirect |
| 10. #20300220 | C4 | semidirect |
| 61. C227 | #1946 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28409070 | 2 |
| #28409060 | 2 |
| C2×#20300198 | 2 |
| #28408793 | 2 |
| C2×#108×C227 | 2 |
| #1946 | 227 |