Finite Group DatabasebetaFinite Group DatabasebetaOrder 12032.
374 conjugacy classes of subgroups; only the 93 normal subgroups are shown.
This group has 374 conjugacy classes of subgroups — too many to draw. Only its 93 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. #20244161 | C2 | semidirect |
| 3. #20242160 | C2 | semidirect |
| 4. #20242138 | C2 | semidirect |
| 7. C47×#1292 | C2 | semidirect |
| 158. #1292 | D47 | semidirect |
| 182. C47 | #10607 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #20244227 | 2 |
| #20244161 | 2 |
| #20242160 | 2 |
| #20242138 | 2 |
| #20242057 | 2 |
| C2×#15688866 | 2 |
| C47×#1292 | 2 |
| #10607 | 47 |