Finite Group DatabasebetaFinite Group DatabasebetaOrder 29056.
564 conjugacy classes of subgroups; only the 189 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 189 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. #28408938 | C2 | semidirect |
| 3. #28408930 | C2 | semidirect |
| 4. #28408916 | C2 | semidirect |
| 45. C22×C4×C227 | Q8 | semidirect |
| 102. C227 | #2855 | semidirect |
| 142. C22×C4 | Dic454 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#20300267 | 2 |
| #28408938 | 2 |
| #28408930 | 2 |
| #28408916 | 2 |
| #28408905 | 2 |
| #28408895 | 2 |
| #28408892 | 2 |
| C22×C42×C227 | 2 |
| #2855 | 227 |