Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
458 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 458 conjugacy classes of subgroups — too many to draw. Only its 141 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. C22×C4⋊Dic101 | C2 | semidirect |
| 2. #20265510 | C2 | semidirect |
| 3. #20265505 | C2 | semidirect |
| 4. #20265493 | C2 | semidirect |
| 5. #20265488 | C2 | semidirect |
| 6. #20265220 | C2 | semidirect |
| 7. #20265178 | C2 | semidirect |
| 8. #20265141 | C2 | semidirect |
| 18. #15692188 | C22 | semidirect |
| 19. #15692186 | C22 | semidirect |
| 20. #15692179 | C22 | semidirect |
| 21. #15692176 | C22 | semidirect |
| 131. C101 | #3092 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×C4⋊Dic101 | 2 |
| #20265510 | 2 |
| #20265505 | 2 |
| #20265493 | 2 |
| #20265488 | 2 |
| #20265220 | 2 |
| #20265178 | 2 |
| #20265141 | 2 |
| #525×C101 | 2 |
| #3092 | 101 |