Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
138 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 138 conjugacy classes of subgroups — too many to draw. Only its 53 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 |
|---|---|---|
| 1. #20265579 | C2 | semidirect |
| 3. #20264982 | C2 | semidirect |
| 5. C4×C16×C101 | C2 | semidirect |
| 50. C101 | #2242 | semidirect |
| 55. C4×C16 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265579 | 2 |
| #20265561 | 2 |
| #20264982 | 2 |
| #20264979 | 2 |
| C4×C16×C101 | 2 |
| #2242 | 101 |