Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
658 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 658 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 1. #20254310 | C2 | semidirect |
| 3. #20248337 | C2 | semidirect |
| 4. #20242068 | C2 | semidirect |
| 5. #20241780 | C2 | semidirect |
| 6. #20241291 | C2 | semidirect |
| 7. C47×#1502 | C2 | semidirect |
| 100. C2×D188 | SD16 | semidirect |
| 214. #1502 | D47 | semidirect |
| 247. C47 | #10240 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254310 | 2 |
| #20252848 | 2 |
| #20248337 | 2 |
| #20242068 | 2 |
| #20241780 | 2 |
| #20241291 | 2 |
| C47×#1502 | 2 |
| #10240 | 47 |