Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
398 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 398 conjugacy classes of subgroups — too many to draw. Only its 97 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 |
|---|---|---|
| 2. #20242160 | C2 | semidirect |
| 3. #20242045 | C2 | semidirect |
| 4. #20241952 | C2 | semidirect |
| 6. #20241248 | C2 | semidirect |
| 199. C47 | #10468 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20243398 | 2 |
| #20242160 | 2 |
| #20242045 | 2 |
| #20241952 | 2 |
| #20241709 | 2 |
| #20241248 | 2 |
| C47×#3077 | 2 |
| #10468 | 47 |