Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
428 conjugacy classes of subgroups; only the 143 normal subgroups are shown.
This group has 428 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 |
|---|---|---|
| 3. #20241680 | C2 | semidirect |
| 4. #20241225 | C2 | semidirect |
| 5. C2×C82×C47 | C2 | semidirect |
| 99. C2×C82 | D47 | semidirect |
| 118. C47 | #8187 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252030 | 2 |
| #20241771 | 2 |
| #20241680 | 2 |
| #20241225 | 2 |
| C2×C82×C47 | 2 |
| #8187 | 47 |