Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
910 conjugacy classes of subgroups; only the 111 normal subgroups are shown.
This group has 910 conjugacy classes of subgroups — too many to draw. Only its 111 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. #20242114 | C2 | semidirect |
| 3. #20242011 | C2 | semidirect |
| 4. #20241720 | C2 | semidirect |
| 5. C47×#1558 | C2 | semidirect |
| 205. #1558 | D47 | semidirect |
| 233. C47 | #8524 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689698 | 2 |
| #20242114 | 2 |
| #20242011 | 2 |
| #20241720 | 2 |
| C47×#1558 | 2 |
| #8524 | 47 |