Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
492 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 492 conjugacy classes of subgroups — too many to draw. Only its 103 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 |
|---|---|---|
| 3. #20242004 | C2 | semidirect |
| 4. #20241808 | C2 | semidirect |
| 5. #20241288 | C2 | semidirect |
| 6. #20241261 | C2 | semidirect |
| 225. C47 | #9312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253550 | 2 |
| #20251816 | 2 |
| #20242004 | 2 |
| #20241808 | 2 |
| #20241288 | 2 |
| #20241261 | 2 |
| C47×#1488 | 2 |
| #9312 | 47 |