Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
196 conjugacy classes of subgroups; only the 118 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 118 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. #20266066 | C2 | semidirect |
| 3. #20266063 | C2 | semidirect |
| 5. #15692329 | C4 | semidirect |
| 14. #13108077 | C2×C4 | semidirect |
| 45. Dic101 | M32 | semidirect |
| 50. C101 | C4×M32 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692329 | 2 |
| #20266066 | 2 |
| #20266063 | 2 |
| C2×C8×Dic101 | 2 |
| C4×M32 | 101 |