Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
292 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 292 conjugacy classes of subgroups — too many to draw. Only its 101 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. C2×#15692190 | C2 | semidirect |
| 4. #20264941 | C2 | semidirect |
| 55. C22×C101 | #108 | semidirect |
| 67. C101 | #1810 | semidirect |
| 122. C22 | #15692190 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C23×#11717579 | 2 |
| C2×#15692190 | 2 |
| #20265141 | 2 |
| #20264941 | 2 |
| #407×C101 | 2 |
| #1810 | 101 |