Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
376 conjugacy classes of subgroups; only the 131 normal subgroups are shown.
This group has 376 conjugacy classes of subgroups — too many to draw. Only its 131 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 |
|---|---|---|
| 3. #20265487 | C2 | semidirect |
| 4. #20265486 | C2 | semidirect |
| 5. #20265473 | C2 | semidirect |
| 6. #20265472 | C2 | semidirect |
| 7. #20265459 | C2 | semidirect |
| 11. #475×C101 | C2 | semidirect |
| 47. Q8×D101 | Q8 | semidirect |
| 131. C101 | #3078 | semidirect |
| 139. #475 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265732 | 2 |
| C4×Q8×D101 | 2 |
| #20265487 | 2 |
| #20265486 | 2 |
| #20265473 | 2 |
| #20265472 | 2 |
| #20265459 | 2 |
| #20265216 | 2 |
| #20265199 | 2 |
| #20265184 | 2 |
| #475×C101 | 2 |
| #3078 | 101 |