Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 141 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 |
|---|---|---|
| 3. #20265485 | C2 | semidirect |
| 4. #20265485 | C2 | semidirect |
| 5. #20265473 | C2 | semidirect |
| 6. #20265463 | C2 | semidirect |
| 44. C2×Dic202 | Q8 | semidirect |
| 117. C101 | #3082 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265805 | 2 |
| #20265654 | 2 |
| #20265485 | 2 |
| #20265473 | 2 |
| #20265463 | 2 |
| #20265219 | 2 |
| #20265215 | 2 |
| #20265187 | 2 |
| C2×#15692180 | 2 |
| #424×C101 | 2 |
| #3082 | 101 |