Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
304 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 304 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 11. C2×#13108064 | C4 | semidirect |
| 105. C101 | #1971 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108064 | 2 |
| C2×#15692186 | 2 |
| C2×#15692180 | 2 |
| C2×#15692165 | 2 |
| #20265084 | 2 |
| #20265082 | 2 |
| C2×#103×C101 | 2 |
| #1971 | 101 |