Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
364 conjugacy classes of subgroups; only the 185 normal subgroups are shown.
This group has 364 conjugacy classes of subgroups — too many to draw. Only its 185 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. #20265306 | C2 | semidirect |
| 3. #20265301 | C2 | semidirect |
| 33. C2×#11717579 | Q8 | semidirect |
| 84. C101 | #2960 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265730 | 2 |
| #20265306 | 2 |
| #20265301 | 2 |
| #20265203 | 2 |
| #20265200 | 2 |
| #20265135 | 2 |
| #20265133 | 2 |
| C2×C8×Dic101 | 2 |
| #424×C101 | 2 |
| #2960 | 101 |