Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 125 normal subgroups are shown.
This group has 362 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 |
|---|---|---|
| 1. #20265798 | C2 | semidirect |
| 2. #20265575 | C2 | semidirect |
| 3. #20265561 | C2 | semidirect |
| 4. #20265537 | C2 | semidirect |
| 5. #20265435 | C2 | semidirect |
| 7. #20265406 | C2 | semidirect |
| 8. #20265290 | C2 | semidirect |
| 9. #20265285 | C2 | semidirect |
| 10. C4×#13108063 | C2 | semidirect |
| 11. #405×C101 | C2 | semidirect |
| 110. C101 | #3173 | semidirect |
| 121. #405 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265798 | 2 |
| #20265575 | 2 |
| #20265561 | 2 |
| #20265537 | 2 |
| #20265435 | 2 |
| #20265430 | 2 |
| #20265406 | 2 |
| #20265290 | 2 |
| #20265285 | 2 |
| C4×#13108063 | 2 |
| #405×C101 | 2 |
| #3173 | 101 |