Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
332 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 332 conjugacy classes of subgroups — too many to draw. Only its 101 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 |
|---|---|---|
| 3. C2×C16×Dic47 | C2 | semidirect |
| 5. #20244137 | C2 | semidirect |
| 6. #20241481 | C2 | semidirect |
| 7. C47×#1382 | C2 | semidirect |
| 16. #15688926 | C4 | semidirect |
| 17. #15688923 | C4 | semidirect |
| 138. #1382 | D47 | semidirect |
| 160. C47 | #13151 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688931 | 2 |
| #20245093 | 2 |
| C2×C16×Dic47 | 2 |
| #20244274 | 2 |
| #20244137 | 2 |
| #20241481 | 2 |
| C47×#1382 | 2 |
| #13151 | 47 |