Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
220 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 220 conjugacy classes of subgroups — too many to draw. Only its 65 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. M32×D101 | C2 | semidirect |
| 3. #108×D101 | C2 | semidirect |
| 4. #20264994 | C2 | semidirect |
| 5. #20264992 | C2 | semidirect |
| 6. #20264990 | C2 | semidirect |
| 7. #361×C101 | C2 | semidirect |
| 92. C101 | #2148 | semidirect |
| 99. #361 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692274 | 2 |
| M32×D101 | 2 |
| #108×D101 | 2 |
| #20264994 | 2 |
| #20264992 | 2 |
| #20264990 | 2 |
| #361×C101 | 2 |
| #2148 | 101 |