Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
362 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 362 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20265913 | C2 | semidirect |
| 2. #20265888 | C2 | semidirect |
| 3. #20265530 | C2 | semidirect |
| 4. #20265479 | C2 | semidirect |
| 5. #20265469 | C2 | semidirect |
| 6. #20265391 | C2 | semidirect |
| 8. C8×Dic202 | C2 | semidirect |
| 9. C4×#13108063 | C2 | semidirect |
| 10. #20265257 | C2 | semidirect |
| 11. #486×C101 | C2 | semidirect |
| 123. C101 | #3361 | semidirect |
| 127. #486 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265913 | 2 |
| #20265888 | 2 |
| #20265530 | 2 |
| #20265479 | 2 |
| #20265469 | 2 |
| #20265391 | 2 |
| #20265369 | 2 |
| C8×Dic202 | 2 |
| C4×#13108063 | 2 |
| #20265257 | 2 |
| #486×C101 | 2 |
| #3361 | 101 |