Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
310 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 310 conjugacy classes of subgroups — too many to draw. Only its 89 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. #20265186 | C2 | semidirect |
| 5. #20264947 | C2 | semidirect |
| 6. #20264933 | C2 | semidirect |
| 7. #519×C101 | C2 | semidirect |
| 11. C2×#13108064 | C4 | semidirect |
| 12. C2×#13108061 | C4 | semidirect |
| 110. C101 | #1905 | semidirect |
| 112. #519 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692286 | 2 |
| #20265195 | 2 |
| #20265186 | 2 |
| #20265150 | 2 |
| #20264947 | 2 |
| #20264933 | 2 |
| #519×C101 | 2 |
| #1905 | 101 |