Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
288 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 288 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 3. #20264913 | C2 | semidirect |
| 5. C22×Dic202 | C4 | semidirect |
| 9. #15692234 | C4 | semidirect |
| 11. C2×C4⋊Dic101 | C4 | semidirect |
| 99. C101 | #1520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692234 | 2 |
| C2×C22⋊#11717579 | 2 |
| #20264913 | 2 |
| #380×C101 | 2 |
| #1520 | 101 |