Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
412 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 412 conjugacy classes of subgroups — too many to draw. Only its 113 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. C22×#13108058 | C2 | semidirect |
| 2. C2×#15692176 | C2 | semidirect |
| 3. #20265037 | C2 | semidirect |
| 4. #20264939 | C2 | semidirect |
| 17. #121×C101 | C4 | semidirect |
| 24. C2×#11717579 | D4 | semidirect |
| 105. C101 | #1895 | semidirect |
| 118. #121 | Dic101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108058 | 2 |
| C2×#15692176 | 2 |
| #20265037 | 2 |
| #20264939 | 2 |
| C2×#121×C101 | 2 |
| #1895 | 101 |