Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
408 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 408 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 |
|---|---|---|
| 2. C2×C22⋊#11717579 | C2 | semidirect |
| 3. C2×#15692167 | C2 | semidirect |
| 4. #20264931 | C2 | semidirect |
| 5. C22×M16×C101 | C2 | semidirect |
| 50. C2×C8×C101 | D4 | semidirect |
| 61. C22×D101 | M16 | semidirect |
| 78. C2×Dic101 | M16 | semidirect |
| 114. C101 | #1870 | semidirect |
| 115. C22×M16 | D101 | semidirect |
| 159. C2×C8 | C22⋊D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×C4×C22⋊D101 | 2 |
| C2×C22⋊#11717579 | 2 |
| C2×#15692167 | 2 |
| #20264931 | 2 |
| C22×M16×C101 | 2 |
| #1870 | 101 |