Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
480 conjugacy classes of subgroups; only the 137 normal subgroups are shown.
This group has 480 conjugacy classes of subgroups — too many to draw. Only its 137 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 |
|---|---|---|
| 3. C2×#15692253 | C2 | semidirect |
| 5. #20265386 | C2 | semidirect |
| 6. #20265381 | C2 | semidirect |
| 7. #20265200 | C2 | semidirect |
| 8. #20265185 | C2 | semidirect |
| 9. #419×C101 | C2 | semidirect |
| 116. Dic101 | #137 | semidirect |
| 122. C101 | #3039 | semidirect |
| 131. #419 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692288 | 2 |
| C2×#15692286 | 2 |
| C2×#15692253 | 2 |
| #20265645 | 2 |
| #20265386 | 2 |
| #20265381 | 2 |
| #20265200 | 2 |
| #20265185 | 2 |
| #419×C101 | 2 |
| #3039 | 101 |