Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
318 conjugacy classes of subgroups; only the 99 normal subgroups are shown.
This group has 318 conjugacy classes of subgroups — too many to draw. Only its 99 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 |
|---|---|---|
| 15. #15688940 | C4 | semidirect |
| 150. C47 | #13139 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688940 | 2 |
| C2×#15688938 | 2 |
| #20244257 | 2 |
| #20243296 | 2 |
| #20241486 | 2 |
| #20241471 | 2 |
| C2×C47×#365 | 2 |
| #13139 | 47 |