Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
380 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 121 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 |
|---|---|---|
| 4. #20265459 | C2 | semidirect |
| 5. #20265388 | C2 | semidirect |
| 6. #20265387 | C2 | semidirect |
| 8. #20265283 | C2 | semidirect |
| 9. #20265281 | C2 | semidirect |
| 11. #475×C101 | C2 | semidirect |
| 133. C101 | #3113 | semidirect |
| 138. #475 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265732 | 2 |
| C4×Q8×D101 | 2 |
| #20265509 | 2 |
| #20265459 | 2 |
| #20265388 | 2 |
| #20265387 | 2 |
| #20265334 | 2 |
| #20265283 | 2 |
| #20265281 | 2 |
| #20265233 | 2 |
| #475×C101 | 2 |
| #3113 | 101 |