Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
292 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20265132 | C2 | semidirect |
| 5. #20264942 | C2 | semidirect |
| 6. #20264937 | C2 | semidirect |
| 7. C2×#97×C101 | C2 | semidirect |
| 10. #15692261 | C4 | semidirect |
| 16. #15692183 | C4 | semidirect |
| 17. #15692180 | C4 | semidirect |
| 18. #15692177 | C4 | semidirect |
| 99. C101 | #1765 | semidirect |
| 104. C2×#97 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692261 | 2 |
| C2×#15692183 | 2 |
| #20265174 | 2 |
| #20265132 | 2 |
| #20264942 | 2 |
| #20264937 | 2 |
| C2×#97×C101 | 2 |
| #1765 | 101 |