Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
310 conjugacy classes of subgroups; only the 85 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 85 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 |
|---|---|---|
| 2. #20265944 | C2 | semidirect |
| 3. #20265195 | C2 | semidirect |
| 4. #20265143 | C2 | semidirect |
| 5. #20264947 | C2 | semidirect |
| 6. #20264942 | C2 | semidirect |
| 7. #416×C101 | C2 | semidirect |
| 10. #15692285 | C4 | semidirect |
| 12. #15692280 | C4 | semidirect |
| 119. C101 | #1881 | semidirect |
| 123. #416 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265975 | 2 |
| #20265944 | 2 |
| #20265195 | 2 |
| #20265143 | 2 |
| #20264947 | 2 |
| #20264942 | 2 |
| #416×C101 | 2 |
| #1881 | 101 |