Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
314 conjugacy classes of subgroups; only the 105 normal subgroups are shown.
This group has 314 conjugacy classes of subgroups — too many to draw. Only its 105 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 |
|---|---|---|
| 14. #15688938 | C4 | semidirect |
| 161. C47 | #13145 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688938 | 2 |
| C2×#15688926 | 2 |
| #20244985 | 2 |
| #20244303 | 2 |
| #20241496 | 2 |
| #20241481 | 2 |
| C47×#1952 | 2 |
| #13145 | 47 |