Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
232 conjugacy classes of subgroups; only the 63 normal subgroups are shown.
This group has 232 conjugacy classes of subgroups — too many to draw. Only its 63 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×Dic752 | C2 | semidirect |
| 2. C2×#15688963 | C2 | semidirect |
| 5. #20245639 | C2 | semidirect |
| 6. #20241521 | C2 | semidirect |
| 120. C47 | #13730 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×Dic752 | 2 |
| C2×#15688963 | 2 |
| C2×#15688961 | 2 |
| #20245646 | 2 |
| #20245639 | 2 |
| #20241521 | 2 |
| C2×C47×SD64 | 2 |
| #13730 | 47 |