Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
492 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 492 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. #20251979 | C2 | semidirect |
| 3. #20245125 | C2 | semidirect |
| 4. C2×#15688932 | C2 | semidirect |
| 5. #20245017 | C2 | semidirect |
| 6. #20241502 | C2 | semidirect |
| 7. C47×#1383 | C2 | semidirect |
| 13. #15689399 | C4 | semidirect |
| 14. #15689394 | C4 | semidirect |
| 40. C2×Dic188 | C2×C4 | semidirect |
| 42. C2×D376 | C2×C4 | semidirect |
| 73. #108×C47 | C2×C4 | semidirect |
| 194. #1383 | D47 | semidirect |
| 222. C47 | #13005 | semidirect |
| 260. #108 | C4×D47 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20253109 | 2 |
| #20251979 | 2 |
| #20245125 | 2 |
| C2×#15688932 | 2 |
| #20245017 | 2 |
| #20241502 | 2 |
| C47×#1383 | 2 |
| #13005 | 47 |