Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
458 conjugacy classes of subgroups; only the 113 normal subgroups are shown.
This group has 458 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. #20243559 | C2 | semidirect |
| 3. #20242074 | C2 | semidirect |
| 4. #20242068 | C2 | semidirect |
| 6. #20241681 | C2 | semidirect |
| 175. C47 | #9774 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689469 | 2 |
| #20243559 | 2 |
| #20242074 | 2 |
| #20242068 | 2 |
| #20242056 | 2 |
| #20241681 | 2 |
| C47×#1545 | 2 |
| #9774 | 47 |