Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
250 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 250 conjugacy classes of subgroups — too many to draw. Only its 103 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. #20241458 | C2 | semidirect |
| 4. #20241451 | C2 | semidirect |
| 5. C47×#1370 | C2 | semidirect |
| 100. #1370 | D47 | semidirect |
| 117. C47 | #12013 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245190 | 2 |
| C82×D47 | 2 |
| #20241458 | 2 |
| #20241451 | 2 |
| C47×#1370 | 2 |
| #12013 | 47 |