Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 181 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. #20265081 | C2 | semidirect |
| 5. #20265062 | C2 | semidirect |
| 6. #20265061 | C2 | semidirect |
| 8. C4×#13108053 | C2 | semidirect |
| 11. #15692234 | C4 | semidirect |
| 116. C101 | #2332 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692234 | 2 |
| #20265081 | 2 |
| #20265071 | 2 |
| #20265065 | 2 |
| #20265062 | 2 |
| #20265061 | 2 |
| #20265040 | 2 |
| C4×#13108053 | 2 |
| C4×C22⋊C4×C101 | 2 |
| #2332 | 101 |