Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
484 conjugacy classes of subgroups; only the 255 normal subgroups are shown.
This group has 484 conjugacy classes of subgroups — too many to draw. Only its 255 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. #20265205 | C2 | semidirect |
| 4. #20265203 | C2 | semidirect |
| 5. #20265200 | C2 | semidirect |
| 6. C2×#15692184 | C2 | semidirect |
| 75. Dic101 | #131 | semidirect |
| 81. C101 | #2906 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692262 | 2 |
| #41×Dic101 | 2 |
| #20265205 | 2 |
| #20265203 | 2 |
| #20265200 | 2 |
| C2×#15692184 | 2 |
| C2×#131×C101 | 2 |
| #2906 | 101 |