Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
284 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 284 conjugacy classes of subgroups — too many to draw. Only its 74 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 |
|---|---|---|
| 9. #15692254 | C4 | semidirect |
| 10. #15692247 | C4 | semidirect |
| 15. #125×C101 | C4 | semidirect |
| 21. C4×#87938 | Q8 | semidirect |
| 64. C101 | #1994 | semidirect |
| 72. #125 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20266182 | 2 |
| C42×#87938 | 2 |
| #20266047 | 2 |
| #20265733 | 2 |
| #1994 | 101 |