Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
294 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 294 conjugacy classes of subgroups — too many to draw. Only its 113 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 |
|---|---|---|
| 17. #15688943 | C4 | semidirect |
| 148. C47 | #13180 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245177 | 2 |
| C2×#15688943 | 2 |
| #20243551 | 2 |
| #20243269 | 2 |
| #20241497 | 2 |
| #20241496 | 2 |
| C47×#2159 | 2 |
| #13180 | 47 |