Order 11008.
614 conjugacy classes of subgroups.
The subgroup lattice has 360 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 3. #19132439 | C2 | semidirect |
| 110. C2×C43⋊C8 | M16 | semidirect |
| 206. C43 | #7920 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| #19143228 | 2 |
| C2×C4×#10621877 | 2 |
| #19132439 | 2 |
| C43×#2920 | 2 |
| #7920 | 43 |