Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
322 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 322 conjugacy classes of subgroups — too many to draw. Only its 109 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. #20265486 | C2 | semidirect |
| 3. #20265483 | C2 | semidirect |
| 6. #20265386 | C2 | semidirect |
| 7. #20265385 | C2 | semidirect |
| 100. C101 | #3261 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265787 | 2 |
| #20265486 | 2 |
| #20265483 | 2 |
| #20265433 | 2 |
| #20265418 | 2 |
| #20265386 | 2 |
| #20265385 | 2 |
| #20265203 | 2 |
| #467×C101 | 2 |
| #3261 | 101 |