Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20265905 | C2 | semidirect |
| 3. #20265568 | C2 | semidirect |
| 5. #20265398 | C2 | semidirect |
| 6. #20265388 | C2 | semidirect |
| 7. #20265380 | C2 | semidirect |
| 8. #20265304 | C2 | semidirect |
| 9. #20265274 | C2 | semidirect |
| 10. C4×#13108064 | C2 | semidirect |
| 122. C101 | #3400 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265913 | 2 |
| #20265905 | 2 |
| #20265568 | 2 |
| #20265549 | 2 |
| #20265398 | 2 |
| #20265388 | 2 |
| #20265380 | 2 |
| #20265304 | 2 |
| #20265274 | 2 |
| C4×#13108064 | 2 |
| #460×C101 | 2 |
| #3400 | 101 |