Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
416 conjugacy classes of subgroups; only the 138 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 138 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. (C2×#87938)⋊C8 | C2 | semidirect |
| 5. C2×#13108084 | C4 | semidirect |
| 8. C2×#13108083 | C4 | semidirect |
| 16. C22×#11717579 | C4 | semidirect |
| 19. C2×C8×D101 | C4 | semidirect |
| 21. C22×C8×C101 | C4 | semidirect |
| 103. C101 | #1729 | semidirect |
| 119. C22×C8 | #87938 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×D101⋊M16 | 2 |
| C2×#15692334 | 2 |
| (C2×#87938)⋊C8 | 2 |
| C22×C8×D101 | 2 |
| #1729 | 101 |