Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
232 conjugacy classes of subgroups; only the 75 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 75 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. #20265220 | C2 | semidirect |
| 4. #20265133 | C2 | semidirect |
| 5. #20264945 | C2 | semidirect |
| 6. #20264941 | C2 | semidirect |
| 16. #15692172 | C4 | semidirect |
| 101. C101 | #1931 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265220 | 2 |
| C2×#15692176 | 2 |
| C2×#15692172 | 2 |
| #20265133 | 2 |
| #20264945 | 2 |
| #20264941 | 2 |
| #418×C101 | 2 |
| #1931 | 101 |