Finite Group DatabasebetaFinite Group DatabasebetaOrder 12928.
124 conjugacy classes of subgroups; only the 41 normal subgroups are shown.
This group has 124 conjugacy classes of subgroups — too many to draw. Only its 41 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 |
|---|---|---|
| 3. #20264999 | C2 | semidirect |
| 4. #20264994 | C2 | semidirect |
| 5. #20264992 | C2 | semidirect |
| 7. #365×C101 | C2 | semidirect |
| 62. C101 | #2239 | semidirect |
| 66. #365 | D101 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20265436 | 2 |
| #20265224 | 2 |
| #20264999 | 2 |
| #20264994 | 2 |
| #20264992 | 2 |
| #20264958 | 2 |
| #365×C101 | 2 |
| #2239 | 101 |