Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
700 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 700 conjugacy classes of subgroups — too many to draw. Only its 165 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 |
|---|---|---|
| 1. C2×#15692285 | C2 | semidirect |
| 2. C22×#13108064 | C2 | semidirect |
| 3. #20265748 | C2 | semidirect |
| 4. #20265339 | C2 | semidirect |
| 5. #20265333 | C2 | semidirect |
| 6. #20265186 | C2 | semidirect |
| 7. #20265173 | C2 | semidirect |
| 8. #20265144 | C2 | semidirect |
| 141. C101 | #3011 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692285 | 2 |
| C22×#13108064 | 2 |
| #20265748 | 2 |
| #20265339 | 2 |
| #20265333 | 2 |
| #20265186 | 2 |
| #20265173 | 2 |
| #20265144 | 2 |
| C2×2−1+4×C101 | 2 |
| #3011 | 101 |