Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
210 conjugacy classes of subgroups; only the 60 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 60 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. #20266036 | C2 | semidirect |
| 56. C101 | #1561 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266182 | 2 |
| #20266036 | 2 |
| #20265733 | 2 |
| #1561 | 101 |