Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
126 conjugacy classes of subgroups; only the 43 normal subgroups are shown.
This group has 126 conjugacy classes of subgroups — too many to draw. Only its 43 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. #20265574 | C2 | semidirect |
| 3. #20265001 | C2 | semidirect |
| 4. #20264997 | C2 | semidirect |
| 7. #365×C101 | C2 | semidirect |
| 21. Dic404 | Q8 | semidirect |
| 23. D808 | Q8 | semidirect |
| 61. C101 | #2230 | semidirect |
| 65. #365 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265574 | 2 |
| #20265293 | 2 |
| #20265001 | 2 |
| #20264997 | 2 |
| #20264988 | 2 |
| #20264986 | 2 |
| #365×C101 | 2 |
| #2230 | 101 |