Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
296 conjugacy classes of subgroups; only the 69 normal subgroups are shown.
This group has 296 conjugacy classes of subgroups — too many to draw. Only its 69 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 |
|---|---|---|
| 2. #20265204 | C2 | semidirect |
| 3. #20265181 | C2 | semidirect |
| 4. C2×#15692172 | C2 | semidirect |
| 5. C2×#15692171 | C2 | semidirect |
| 6. #20264941 | C2 | semidirect |
| 7. #418×C101 | C2 | semidirect |
| 106. C101 | #2045 | semidirect |
| 110. #418 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13108059 | 2 |
| #20265204 | 2 |
| #20265181 | 2 |
| C2×#15692172 | 2 |
| C2×#15692171 | 2 |
| #20264941 | 2 |
| #418×C101 | 2 |
| #2045 | 101 |