Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
358 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 358 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. #20265485 | C2 | semidirect |
| 5. #20265388 | C2 | semidirect |
| 7. #20265285 | C2 | semidirect |
| 8. C4×Dic404 | C2 | semidirect |
| 96. C101 | #3127 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265789 | 2 |
| #20265654 | 2 |
| #20265519 | 2 |
| #20265485 | 2 |
| #20265388 | 2 |
| #20265335 | 2 |
| #20265285 | 2 |
| C4×Dic404 | 2 |
| #433×C101 | 2 |
| #3127 | 101 |