Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
494 conjugacy classes of subgroups; only the 121 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 121 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. #20244232 | C2 | semidirect |
| 3. #20242146 | C2 | semidirect |
| 4. #20242061 | C2 | semidirect |
| 6. M16×C47⋊C8 | C2 | semidirect |
| 179. C47 | #9796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689469 | 2 |
| #20244232 | 2 |
| #20242146 | 2 |
| #20242061 | 2 |
| #20242056 | 2 |
| M16×C47⋊C8 | 2 |
| C47×#1965 | 2 |
| #9796 | 47 |