Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
358 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 358 conjugacy classes of subgroups — too many to draw. Only its 115 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. C2×C4⋊(C47⋊C16) | C2 | semidirect |
| 3. #20241444 | C2 | semidirect |
| 4. #20241433 | C2 | semidirect |
| 5. C47×#1567 | C2 | semidirect |
| 127. #1567 | D47 | semidirect |
| 150. C47 | #11981 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253967 | 2 |
| C2×C4⋊(C47⋊C16) | 2 |
| #20241444 | 2 |
| #20241433 | 2 |
| C47×#1567 | 2 |
| #11981 | 47 |