Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
338 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 338 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 |
|---|---|---|
| 1. #20265907 | C2 | semidirect |
| 5. #20265460 | C2 | semidirect |
| 7. #20265384 | C2 | semidirect |
| 8. #20265307 | C2 | semidirect |
| 9. #20265281 | C2 | semidirect |
| 11. #487×C101 | C2 | semidirect |
| 117. C101 | #3369 | semidirect |
| 121. #487 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265907 | 2 |
| #20265901 | 2 |
| #20265538 | 2 |
| #20265464 | 2 |
| #20265460 | 2 |
| #20265402 | 2 |
| #20265384 | 2 |
| #20265307 | 2 |
| #20265281 | 2 |
| C4×#13108063 | 2 |
| #487×C101 | 2 |
| #3369 | 101 |