Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
494 conjugacy classes of subgroups; only the 123 normal subgroups are shown.
This group has 494 conjugacy classes of subgroups — too many to draw. Only its 123 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. #20244231 | C2 | semidirect |
| 4. #20242061 | C2 | semidirect |
| 6. C8×#10625329 | C2 | semidirect |
| 7. C47×#1567 | C2 | semidirect |
| 152. #1567 | D47 | semidirect |
| 179. C47 | #9796 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689470 | 2 |
| #20244231 | 2 |
| #20244227 | 2 |
| #20242061 | 2 |
| #20242057 | 2 |
| C8×#10625329 | 2 |
| C47×#1567 | 2 |
| #9796 | 47 |