Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
274 conjugacy classes of subgroups; only the 59 normal subgroups are shown.
This group has 274 conjugacy classes of subgroups — too many to draw. Only its 59 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 |
|---|---|---|
| 7. #15688920 | C4 | semidirect |
| 9. #15688867 | C4 | semidirect |
| 135. C47 | #7496 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245073 | 2 |
| #20242123 | 2 |
| C47×#1884 | 2 |
| #7496 | 47 |