Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
210 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 210 conjugacy classes of subgroups — too many to draw. Only its 63 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. #20265225 | C2 | semidirect |
| 2. #20265203 | C2 | semidirect |
| 6. #20264933 | C2 | semidirect |
| 7. #424×C101 | C2 | semidirect |
| 90. C101 | #2098 | semidirect |
| 93. #424 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265225 | 2 |
| #20265203 | 2 |
| #20265195 | 2 |
| #20265193 | 2 |
| #20265143 | 2 |
| #20264933 | 2 |
| #424×C101 | 2 |
| #2098 | 101 |