Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
482 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 482 conjugacy classes of subgroups — too many to draw. Only its 123 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×#15692274 | C2 | semidirect |
| 2. C2×Q16×D101 | C2 | semidirect |
| 3. #20265835 | C2 | semidirect |
| 4. #20265415 | C2 | semidirect |
| 5. #20265410 | C2 | semidirect |
| 6. #20265396 | C2 | semidirect |
| 7. #20265336 | C2 | semidirect |
| 8. #20265314 | C2 | semidirect |
| 9. C4×Dic404 | C2 | semidirect |
| 10. C8×D404 | C2 | semidirect |
| 11. #495×C101 | C2 | semidirect |
| 54. Dic404 | D4 | semidirect |
| 120. C2×D101 | #135 | semidirect |
| 137. C101 | #3285 | semidirect |
| 141. #495 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692274 | 2 |
| C2×Q16×D101 | 2 |
| #20265835 | 2 |
| #20265415 | 2 |
| #20265410 | 2 |
| #20265396 | 2 |
| #20265336 | 2 |
| #20265314 | 2 |
| C4×Dic404 | 2 |
| C8×D404 | 2 |
| #495×C101 | 2 |
| #3285 | 101 |