Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
176 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 176 conjugacy classes of subgroups — too many to draw. Only its 51 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 |
|---|---|---|
| 1. #28409379 | C2 | semidirect |
| 2. #28409238 | C2 | semidirect |
| 4. #28409111 | C2 | semidirect |
| 5. #28408779 | C2 | semidirect |
| 6. #28408775 | C2 | semidirect |
| 7. #334×C227 | C2 | semidirect |
| 84. C227 | #1701 | semidirect |
| 90. #334 | D227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #28409379 | 2 |
| #28409238 | 2 |
| #28409228 | 2 |
| #28409111 | 2 |
| #28408779 | 2 |
| #28408775 | 2 |
| #334×C227 | 2 |
| #1701 | 227 |