Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
336 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 336 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. #20265902 | C2 | semidirect |
| 4. #20265529 | C2 | semidirect |
| 5. #20265483 | C2 | semidirect |
| 7. #20265388 | C2 | semidirect |
| 8. #20265301 | C2 | semidirect |
| 9. #20265271 | C2 | semidirect |
| 116. C101 | #3364 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265902 | 2 |
| #20265897 | 2 |
| #20265530 | 2 |
| #20265529 | 2 |
| #20265483 | 2 |
| #20265398 | 2 |
| #20265388 | 2 |
| #20265301 | 2 |
| #20265271 | 2 |
| C4×#13108062 | 2 |
| #474×C101 | 2 |
| #3364 | 101 |