Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
388 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 388 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×C22⋊#11717579 | C2 | semidirect |
| 3. #20264910 | C2 | direct (N × H) |
| 4. C2×#95×C101 | C2 | semidirect |
| 5. C22×D404 | C4 | semidirect |
| 10. #15692229 | C4 | semidirect |
| 12. C2×C4⋊Dic101 | C4 | semidirect |
| 15. C22⋊#11717579 | C22 | semidirect |
| 19. #95×C101 | C22 | semidirect |
| 23. C2×D404 | C2×C4 | semidirect |
| 32. C4⋊Dic101 | C2×C4 | semidirect |
| 106. C2×C101 | #327 | semidirect |
| 112. C101 | C2×#327 | semidirect |
| 115. C2×#95 | D101 | semidirect |
| 131. #95 | C2×D101 | semidirect |
| 219. C2 | #20264910 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692229 | 2 |
| C2×C22⋊#11717579 | 2 |
| #20264910 | 2 |
| C2×#95×C101 | 2 |
| C2×#327 | 101 |