Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
296 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 83 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. C2×#15692190 | C2 | semidirect |
| 3. #20265187 | C2 | semidirect |
| 5. C2×#15692173 | C2 | semidirect |
| 6. #20265135 | C2 | semidirect |
| 12. C2×#13108062 | C4 | semidirect |
| 107. C101 | #1977 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108062 | 2 |
| C2×#15692190 | 2 |
| #20265187 | 2 |
| #20265182 | 2 |
| C2×#15692173 | 2 |
| #20265135 | 2 |
| C2×#100×C101 | 2 |
| #1977 | 101 |