Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
424 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 424 conjugacy classes of subgroups — too many to draw. Only its 119 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. C2×#15692220 | C2 | semidirect |
| 3. #20265490 | C2 | semidirect |
| 4. #20265471 | C2 | semidirect |
| 5. #20265376 | C2 | semidirect |
| 6. #20265318 | C2 | semidirect |
| 7. #20265315 | C2 | semidirect |
| 8. #20265276 | C2 | semidirect |
| 9. #20265274 | C2 | semidirect |
| 10. #20265231 | C2 | semidirect |
| 11. #480×C101 | C2 | semidirect |
| 111. Dic202 | #41 | semidirect |
| 141. C101 | #3112 | semidirect |
| 145. #480 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265722 | 2 |
| C2×#15692220 | 2 |
| #20265490 | 2 |
| #20265471 | 2 |
| #20265376 | 2 |
| #20265318 | 2 |
| #20265315 | 2 |
| #20265276 | 2 |
| #20265274 | 2 |
| #20265231 | 2 |
| #480×C101 | 2 |
| #3112 | 101 |