Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
408 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 74 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. C2×#15692313 | C2 | semidirect |
| 2. #20266119 | C2 | semidirect |
| 3. C4×C22⋊#87938 | C2 | semidirect |
| 18. C2×C4⋊Dic101 | C4 | semidirect |
| 19. C2×C22⋊Dic101 | C4 | semidirect |
| 20. C22×D4×C101 | C4 | semidirect |
| 26. C22⋊#87938 | D4 | semidirect |
| 103. C4×C101 | #99 | semidirect |
| 116. C101 | #1964 | semidirect |
| 122. C22×D4 | #87938 | semidirect |
| 222. C4 | #15692313 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692313 | 2 |
| #20266119 | 2 |
| C4×C22⋊#87938 | 2 |
| C2×#15692226 | 2 |
| #1964 | 101 |