Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
682 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 682 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20244378 | C2 | semidirect |
| 3. #20242125 | C2 | semidirect |
| 4. #20241982 | C2 | semidirect |
| 7. C47×#1997 | C2 | semidirect |
| 217. #1997 | D47 | semidirect |
| 254. C47 | #8474 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257272 | 2 |
| #20244378 | 2 |
| #20242125 | 2 |
| #20241982 | 2 |
| #20241828 | 2 |
| #20241825 | 2 |
| C47×#1997 | 2 |
| #8474 | 47 |