Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
350 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 350 conjugacy classes of subgroups — too many to draw. Only its 103 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. C2×#15688900 | C2 | semidirect |
| 4. #20244142 | C2 | semidirect |
| 5. #20241493 | C2 | semidirect |
| 6. #20241487 | C2 | semidirect |
| 21. C47×#357 | C4 | semidirect |
| 155. #357 | Dic47 | semidirect |
| 158. C47 | #13155 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688936 | 2 |
| C2×#15688900 | 2 |
| #20244265 | 2 |
| #20244142 | 2 |
| #20241493 | 2 |
| #20241487 | 2 |
| C47×#2140 | 2 |
| #13155 | 47 |