Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
338 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 338 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 12. C2×Dic404 | C4 | semidirect |
| 66. C2×C4×C101 | Q16 | semidirect |
| 120. C101 | #1878 | semidirect |
| 206. C2×C4 | Dic404 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×Dic404 | 2 |
| C2×C4×Dic202 | 2 |
| C2×#15692180 | 2 |
| #20265083 | 2 |
| #20264940 | 2 |
| #336×C101 | 2 |
| #1878 | 101 |