Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
316 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 316 conjugacy classes of subgroups — too many to draw. Only its 87 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. #20245641 | C2 | semidirect |
| 3. #20245640 | C2 | semidirect |
| 4. #20243004 | C2 | semidirect |
| 6. #20241304 | C2 | semidirect |
| 116. C47 | #12520 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20245643 | 2 |
| #20245641 | 2 |
| #20245640 | 2 |
| #20243004 | 2 |
| #20242993 | 2 |
| #20241304 | 2 |
| C47×#2248 | 2 |
| #12520 | 47 |