Order 12032.
1182 conjugacy classes of subgroups.
The subgroup lattice has 356 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #20242113 | C2 | direct (N × H) |
| 4. C2×#15688871 | C2 | semidirect |
| 22. #15688871 | C22 | semidirect |
| 179. C2×C47 | #1558 | semidirect |
| 206. C47 | C2×#1558 | semidirect |
| 351. C2 | #20242113 | direct (N × H) |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13094024 | 2 |
| C2×#15689180 | 2 |
| #20242113 | 2 |
| C2×#15688871 | 2 |
| C2×C47×#432 | 2 |
| C2×#1558 | 47 |