Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
278 conjugacy classes of subgroups; only the 74 normal subgroups are shown.
This group has 278 conjugacy classes of subgroups — too many to draw. Only its 74 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×#15692325 | C2 | semidirect |
| 4. #20266053 | C2 | semidirect |
| 68. C22×C101 | #108 | semidirect |
| 89. C101 | #1855 | semidirect |
| 164. C22 | #15692325 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108084 | 2 |
| C2×#15692325 | 2 |
| #20266148 | 2 |
| #20266053 | 2 |
| C22⋊C8×D101 | 2 |
| #1855 | 101 |