Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
168 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 73 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. #20264929 | C2 | semidirect |
| 4. #20264928 | C2 | semidirect |
| 5. #334×C101 | C2 | semidirect |
| 65. C101 | #1568 | semidirect |
| 70. #334 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265233 | 2 |
| C4×C8×D101 | 2 |
| #20264929 | 2 |
| #20264928 | 2 |
| #334×C101 | 2 |
| #1568 | 101 |