Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
338 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 125 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. #20265529 | C2 | semidirect |
| 5. #20265459 | C2 | semidirect |
| 7. #20265387 | C2 | semidirect |
| 8. #20265308 | C2 | semidirect |
| 9. #20265282 | C2 | semidirect |
| 11. Q82×C101 | C2 | semidirect |
| 117. C101 | #3369 | semidirect |
| 118. Q82 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265900 | 2 |
| #20265539 | 2 |
| #20265529 | 2 |
| #20265464 | 2 |
| #20265459 | 2 |
| #20265399 | 2 |
| #20265387 | 2 |
| #20265308 | 2 |
| #20265282 | 2 |
| C4×#13108061 | 2 |
| Q82×C101 | 2 |
| #3369 | 101 |