Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
380 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 380 conjugacy classes of subgroups — too many to draw. Only its 119 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 |
|---|---|---|
| 4. #20265461 | C2 | semidirect |
| 5. #20265386 | C2 | semidirect |
| 8. #20265283 | C2 | semidirect |
| 9. #20265281 | C2 | semidirect |
| 128. C101 | #3113 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265729 | 2 |
| C2×#15692220 | 2 |
| #20265507 | 2 |
| #20265461 | 2 |
| #20265386 | 2 |
| #20265335 | 2 |
| #20265332 | 2 |
| #20265283 | 2 |
| #20265281 | 2 |
| #20265231 | 2 |
| #483×C101 | 2 |
| #3113 | 101 |