Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
424 conjugacy classes of subgroups; only the 129 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 129 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 |
|---|---|---|
| 1. C2×C4×Dic202 | C2 | semidirect |
| 2. #20265488 | C2 | semidirect |
| 3. #20265469 | C2 | semidirect |
| 4. #20265374 | C2 | semidirect |
| 5. #20265315 | C2 | semidirect |
| 6. #20265277 | C2 | semidirect |
| 7. #20265234 | C2 | semidirect |
| 88. Dic202 | #41 | semidirect |
| 112. C101 | #3112 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×Dic202 | 2 |
| #20265488 | 2 |
| #20265469 | 2 |
| #20265374 | 2 |
| #20265315 | 2 |
| #20265277 | 2 |
| #20265234 | 2 |
| #532×C101 | 2 |
| #3112 | 101 |