Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
370 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 370 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20265905 | C2 | semidirect |
| 3. #20265529 | C2 | semidirect |
| 4. #20265526 | C2 | semidirect |
| 5. #20265461 | C2 | semidirect |
| 8. #20265301 | C2 | semidirect |
| 11. #475×C101 | C2 | semidirect |
| 95. Dic202 | SD16 | semidirect |
| 119. C101 | #3359 | semidirect |
| 125. #475 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265905 | 2 |
| #20265842 | 2 |
| #20265529 | 2 |
| #20265526 | 2 |
| #20265461 | 2 |
| #20265383 | 2 |
| #20265381 | 2 |
| #20265301 | 2 |
| C4×#13108061 | 2 |
| #20265264 | 2 |
| #475×C101 | 2 |
| #3359 | 101 |