Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
490 conjugacy classes of subgroups; only the 133 normal subgroups are shown.
This group has 490 conjugacy classes of subgroups — too many to draw. Only its 133 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 |
|---|---|---|
| 1. C2×#15692288 | C2 | semidirect |
| 2. C22×#13108062 | C2 | semidirect |
| 4. #20265654 | C2 | semidirect |
| 5. #20265398 | C2 | semidirect |
| 6. #20265376 | C2 | semidirect |
| 7. #20265205 | C2 | semidirect |
| 8. #20265171 | C2 | semidirect |
| 9. #418×C101 | C2 | semidirect |
| 13. C2×Dic404 | C22 | semidirect |
| 14. C2×#13108063 | C22 | semidirect |
| 23. #15692220 | C22 | semidirect |
| 26. #15692184 | C22 | semidirect |
| 27. #15692178 | C22 | semidirect |
| 28. #15692175 | C22 | semidirect |
| 37. C2×Dic202 | D4 | semidirect |
| 117. C101 | #3043 | semidirect |
| 125. #418 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15692288 | 2 |
| C22×#13108062 | 2 |
| #20265744 | 2 |
| #20265654 | 2 |
| #20265398 | 2 |
| #20265376 | 2 |
| #20265205 | 2 |
| #20265171 | 2 |
| #418×C101 | 2 |
| #3043 | 101 |