Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
154 conjugacy classes of subgroups; only the 45 normal subgroups are shown.
This group has 154 conjugacy classes of subgroups — too many to draw. Only its 45 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. #20265617 | C2 | semidirect |
| 2. #20265560 | C2 | semidirect |
| 3. #20265294 | C2 | semidirect |
| 4. #20264997 | C2 | semidirect |
| 5. #20264994 | C2 | semidirect |
| 6. #20264990 | C2 | semidirect |
| 75. C101 | #2212 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265617 | 2 |
| #20265560 | 2 |
| #20265294 | 2 |
| #20264997 | 2 |
| #20264994 | 2 |
| #20264990 | 2 |
| #509×C101 | 2 |
| #2212 | 101 |