Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
520 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 520 conjugacy classes of subgroups — too many to draw. Only its 95 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. #20256524 | C2 | semidirect |
| 2. #20253108 | C2 | semidirect |
| 3. C2×#15688931 | C2 | semidirect |
| 4. #20241492 | C2 | semidirect |
| 5. C47×#2113 | C2 | semidirect |
| 135. #2113 | D47 | semidirect |
| 157. C47 | #13312 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20256524 | 2 |
| #20253108 | 2 |
| C2×#15688931 | 2 |
| #20241492 | 2 |
| C47×#2113 | 2 |
| #13312 | 47 |