Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
252 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 252 conjugacy classes of subgroups — too many to draw. Only its 85 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. #20265234 | C2 | semidirect |
| 2. C2×C4⋊#11717579 | C2 | semidirect |
| 3. #20264926 | C2 | semidirect |
| 4. #20264921 | C2 | semidirect |
| 85. C101 | #1551 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265234 | 2 |
| C2×C4⋊#11717579 | 2 |
| #20264926 | 2 |
| #20264921 | 2 |
| #532×C101 | 2 |
| #1551 | 101 |