Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
950 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 950 conjugacy classes of subgroups — too many to draw. Only its 143 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. #20244325 | C2 | semidirect |
| 3. #20242066 | C2 | semidirect |
| 4. #20241838 | C2 | semidirect |
| 5. C47×#1801 | C2 | semidirect |
| 170. #1801 | D47 | semidirect |
| 197. C47 | #8354 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20257159 | 2 |
| #20244325 | 2 |
| #20242066 | 2 |
| #20241838 | 2 |
| C47×#1801 | 2 |
| #8354 | 47 |