Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
312 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 312 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20265230 | C2 | semidirect |
| 3. #20264904 | C2 | semidirect |
| 4. #423×C101 | C2 | semidirect |
| 15. C4×#11717579 | C22 | semidirect |
| 19. C4⋊C8×C101 | C22 | semidirect |
| 62. D404 | M16 | semidirect |
| 90. C101 | #1486 | semidirect |
| 93. #423 | D101 | semidirect |
| 107. C4⋊C8 | C2×D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×D404 | 2 |
| #20265230 | 2 |
| #20264904 | 2 |
| #423×C101 | 2 |
| #1486 | 101 |