Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 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 |
|---|---|---|
| 2. #28409513 | C2 | semidirect |
| 3. #28409143 | C2 | semidirect |
| 4. #28409138 | C2 | semidirect |
| 5. #28409119 | C2 | semidirect |
| 6. #28409031 | C2 | semidirect |
| 7. #28408987 | C2 | semidirect |
| 8. C2×#106×C227 | C2 | semidirect |
| 10. #20300310 | C4 | semidirect |
| 30. #16813884 | C2×C4 | semidirect |
| 36. Dic908 | C2×C4 | semidirect |
| 37. #16813873 | C2×C4 | semidirect |
| 38. D1816 | C2×C4 | semidirect |
| 49. C2×C8×C227 | C2×C4 | semidirect |
| 90. C227 | #2952 | semidirect |
| 97. C2×#106 | D227 | semidirect |
| 134. C2×C8 | C4×D227 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20300310 | 2 |
| #28409513 | 2 |
| #28409143 | 2 |
| #28409138 | 2 |
| #28409119 | 2 |
| #28409031 | 2 |
| #28408987 | 2 |
| C2×#106×C227 | 2 |
| #2952 | 227 |