Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
522 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 522 conjugacy classes of subgroups — too many to draw. Only its 113 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. #20252189 | C2 | semidirect |
| 3. #20245105 | C2 | semidirect |
| 4. #20244262 | C2 | semidirect |
| 5. #20241495 | C2 | semidirect |
| 6. #20241471 | C2 | semidirect |
| 7. C2×C47×#360 | C2 | semidirect |
| 11. #15689558 | C4 | semidirect |
| 34. C2×D376 | C2×C4 | semidirect |
| 47. #13093964 | C2×C4 | semidirect |
| 91. Q16×C47 | C22⋊C4 | semidirect |
| 95. D8×C47 | C22⋊C4 | semidirect |
| 181. C2×#360 | D47 | semidirect |
| 212. C47 | #13025 | semidirect |
| 276. Q16 | (C2×D47)⋊C4 | semidirect |
| 284. D8 | (C2×D47)⋊C4 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689558 | 2 |
| #20252189 | 2 |
| #20245105 | 2 |
| #20244262 | 2 |
| #20241495 | 2 |
| #20241471 | 2 |
| C2×C47×#360 | 2 |
| #13025 | 47 |