Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
416 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 416 conjugacy classes of subgroups — too many to draw. Only its 99 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. #20244999 | C2 | semidirect |
| 3. #20241399 | C2 | semidirect |
| 4. #20241396 | C2 | semidirect |
| 5. C47×#1808 | C2 | semidirect |
| 6. C2×#13094046 | C4 | semidirect |
| 9. #15689364 | C4 | semidirect |
| 11. #15689359 | C4 | semidirect |
| 15. #15689161 | C4 | semidirect |
| 171. #1808 | D47 | semidirect |
| 199. C47 | #11890 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252969 | 2 |
| #20244999 | 2 |
| #20241399 | 2 |
| #20241396 | 2 |
| C47×#1808 | 2 |
| #11890 | 47 |