Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
400 conjugacy classes of subgroups; only the 89 normal subgroups are shown.
This group has 400 conjugacy classes of subgroups — too many to draw. Only its 89 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 |
|---|---|---|
| 33. #13094024 | Q8 | semidirect |
| 207. C47 | #10359 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20251660 | 2 |
| #20244361 | 2 |
| #20244360 | 2 |
| #20244208 | 2 |
| #20241270 | 2 |
| C47×#1295 | 2 |
| #10359 | 47 |