Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
426 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 109 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×#15688952 | C2 | semidirect |
| 3. C2×#15688931 | C2 | semidirect |
| 4. C2×C16×Dic47 | C2 | semidirect |
| 5. #20244277 | C2 | semidirect |
| 6. #20244274 | C2 | semidirect |
| 7. C2×C47×#359 | C2 | semidirect |
| 11. C2×#13093970 | C4 | semidirect |
| 12. C2×#13093968 | C4 | semidirect |
| 13. C2×#13093967 | C4 | semidirect |
| 14. C2×#13093965 | C4 | semidirect |
| 176. C2×#359 | D47 | semidirect |
| 207. C47 | #13241 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689553 | 2 |
| C2×#15688952 | 2 |
| C2×#15688931 | 2 |
| C2×C16×Dic47 | 2 |
| #20244277 | 2 |
| #20244274 | 2 |
| C2×C47×#359 | 2 |
| #13241 | 47 |