Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
342 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 342 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 |
|---|---|---|
| 3. #20265461 | C2 | semidirect |
| 4. #20265459 | C2 | semidirect |
| 7. #20265388 | C2 | semidirect |
| 8. #20265387 | C2 | semidirect |
| 9. #20265386 | C2 | semidirect |
| 11. #475×C101 | C2 | semidirect |
| 130. C101 | #3255 | semidirect |
| 135. #475 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265732 | 2 |
| #20265731 | 2 |
| #20265461 | 2 |
| #20265459 | 2 |
| #20265436 | 2 |
| #20265434 | 2 |
| #20265388 | 2 |
| #20265387 | 2 |
| #20265386 | 2 |
| #20265199 | 2 |
| #475×C101 | 2 |
| #3255 | 101 |