Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
542 conjugacy classes of subgroups; only the 139 normal subgroups are shown.
This group has 542 conjugacy classes of subgroups — too many to draw. Only its 139 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. #20244378 | C2 | semidirect |
| 3. #20242144 | C2 | semidirect |
| 4. #20242069 | C2 | semidirect |
| 6. C8×#10625329 | C2 | semidirect |
| 95. #10625329 | SD16 | semidirect |
| 127. C8×C47 | #100 | semidirect |
| 179. C47 | #9793 | semidirect |
| 285. C8 | #13093941 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244378 | 2 |
| #20244229 | 2 |
| #20242144 | 2 |
| #20242069 | 2 |
| #20242056 | 2 |
| C8×#10625329 | 2 |
| C2×C47×#492 | 2 |
| #9793 | 47 |