Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
912 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 912 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20254329 | C2 | semidirect |
| 2. #20244365 | C2 | semidirect |
| 3. #20242056 | C2 | semidirect |
| 4. #20241221 | C2 | semidirect |
| 21. #13094024 | D4 | semidirect |
| 27. C4⋊(C47⋊C8) | D4 | semidirect |
| 64. C42×C47 | SD16 | semidirect |
| 140. C47 | #10290 | semidirect |
| 195. C42 | #10625335 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20254329 | 2 |
| #20244365 | 2 |
| #20242056 | 2 |
| #20241221 | 2 |
| C47×#2867 | 2 |
| #10290 | 47 |