Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
408 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 408 conjugacy classes of subgroups — too many to draw. Only its 95 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 |
|---|---|---|
| 3. #20242160 | C2 | semidirect |
| 4. #20242073 | C2 | semidirect |
| 6. #20241284 | C2 | semidirect |
| 7. C47×#1548 | C2 | semidirect |
| 160. #1548 | D47 | semidirect |
| 186. C47 | #10448 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15689400 | 2 |
| #20243377 | 2 |
| #20242160 | 2 |
| #20242073 | 2 |
| #20241780 | 2 |
| #20241284 | 2 |
| C47×#1548 | 2 |
| #10448 | 47 |