Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
784 conjugacy classes of subgroups; only the 269 normal subgroups are shown.
This group has 784 conjugacy classes of subgroups — too many to draw. Only its 269 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. #20265083 | C2 | semidirect |
| 4. #20265082 | C2 | semidirect |
| 9. C22×Dic202 | C4 | semidirect |
| 89. C101 | #2310 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×Dic202 | 2 |
| C2×#15692214 | 2 |
| #20265083 | 2 |
| #20265082 | 2 |
| #20265038 | 2 |
| C2×#117×C101 | 2 |
| #2310 | 101 |