Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
142 conjugacy classes of subgroups; only the 53 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 53 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. #20265285 | C2 | semidirect |
| 4. #20265000 | C2 | semidirect |
| 5. #20264994 | C2 | semidirect |
| 7. #347×C101 | C2 | semidirect |
| 12. Dic808 | C4 | semidirect |
| 13. #15692200 | C4 | semidirect |
| 65. C101 | #2180 | semidirect |
| 72. #347 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265620 | 2 |
| #20265300 | 2 |
| #20265285 | 2 |
| #20265000 | 2 |
| #20264994 | 2 |
| #20264988 | 2 |
| #347×C101 | 2 |
| #2180 | 101 |