Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
418 conjugacy classes of subgroups; only the 115 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 115 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. #20243519 | C2 | semidirect |
| 4. #20241247 | C2 | semidirect |
| 5. C47×#1564 | C2 | semidirect |
| 9. #15689202 | C4 | semidirect |
| 11. C8×D188 | C4 | semidirect |
| 132. #1564 | D47 | semidirect |
| 156. C47 | #8678 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20252101 | 2 |
| #20243519 | 2 |
| #20241949 | 2 |
| #20241247 | 2 |
| C47×#1564 | 2 |
| #8678 | 47 |