Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
338 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 117 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. Q8×Dic202 | C2 | semidirect |
| 4. #20265528 | C2 | semidirect |
| 6. #20265461 | C2 | semidirect |
| 8. #20265387 | C2 | semidirect |
| 9. #20265307 | C2 | semidirect |
| 10. #20265281 | C2 | semidirect |
| 117. C101 | #3369 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| Q8×Dic202 | 2 |
| #20265897 | 2 |
| #20265535 | 2 |
| #20265528 | 2 |
| #20265467 | 2 |
| #20265461 | 2 |
| #20265397 | 2 |
| #20265387 | 2 |
| #20265307 | 2 |
| #20265281 | 2 |
| C4×SD16×C101 | 2 |
| #3369 | 101 |