Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
328 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 328 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 |
|---|---|---|
| 1. C2×#15688943 | C2 | semidirect |
| 3. C2×#15688900 | C2 | semidirect |
| 5. #20241469 | C2 | semidirect |
| 6. #20241467 | C2 | semidirect |
| 172. C47 | #13128 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688943 | 2 |
| C2×#15688905 | 2 |
| C2×#15688900 | 2 |
| #20243169 | 2 |
| #20241469 | 2 |
| #20241467 | 2 |
| C2×C47×#349 | 2 |
| #13128 | 47 |