Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
238 conjugacy classes of subgroups; only the 73 normal subgroups are shown.
This group has 238 conjugacy classes of subgroups — too many to draw. Only its 73 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. #20265023 | C2 | semidirect |
| 3. #20264915 | C2 | semidirect |
| 5. #431×C101 | C2 | semidirect |
| 7. #15692247 | C4 | semidirect |
| 8. #15692243 | C4 | semidirect |
| 12. C4×Dic202 | C4 | semidirect |
| 13. C4×D404 | C4 | semidirect |
| 94. C101 | #1500 | semidirect |
| 96. #431 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265711 | 2 |
| #20265023 | 2 |
| #20264915 | 2 |
| #20264912 | 2 |
| #431×C101 | 2 |
| #1500 | 101 |