Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
1318 conjugacy classes of subgroups; only the 195 normal subgroups are shown.
This group has 1318 conjugacy classes of subgroups — too many to draw. Only its 195 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. C2×#15689735 | C2 | semidirect |
| 3. #20244534 | C2 | semidirect |
| 4. #20244470 | C2 | semidirect |
| 5. #20243746 | C2 | semidirect |
| 6. #20243700 | C2 | semidirect |
| 7. #20243459 | C2 | semidirect |
| 11. C2×#13094024 | C22 | semidirect |
| 13. C2×#13094016 | C22 | semidirect |
| 16. C2×C4×Dic94 | C22 | semidirect |
| 18. C2×#13093947 | C22 | semidirect |
| 21. #15688885 | C22 | semidirect |
| 22. #15688878 | C22 | semidirect |
| 23. #15688878 | C22 | semidirect |
| 217. C47 | #23942 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689735 | 2 |
| C2×#15689274 | 2 |
| #20244534 | 2 |
| #20244470 | 2 |
| #20243746 | 2 |
| #20243700 | 2 |
| #20243459 | 2 |
| C47×#2309 | 2 |
| #23942 | 47 |