Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
332 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 332 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 |
|---|---|---|
| 2. #20265194 | C2 | semidirect |
| 3. C2×#15692183 | C2 | semidirect |
| 4. #20265150 | C2 | semidirect |
| 5. #20264947 | C2 | semidirect |
| 6. #20264937 | C2 | semidirect |
| 7. C4×#41×C101 | C2 | semidirect |
| 10. #15692285 | C4 | semidirect |
| 12. #15692280 | C4 | semidirect |
| 33. C2×Dic202 | C2×C4 | semidirect |
| 34. C2×D404 | C2×C4 | semidirect |
| 44. #13108058 | C2×C4 | semidirect |
| 130. C101 | #1906 | semidirect |
| 132. C4×#41 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265975 | 2 |
| #20265194 | 2 |
| C2×#15692183 | 2 |
| #20265150 | 2 |
| #20264947 | 2 |
| #20264937 | 2 |
| C4×#41×C101 | 2 |
| #1906 | 101 |