Order 11008.
978 conjugacy classes of subgroups.
The subgroup lattice has 390 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 11. C2×#13063243 | C4 | semidirect |
| 136. C2×C4×C43 | #101 | semidirect |
| 217. C43 | #10963 | semidirect |
| 343. C2×C4 | #13063243 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C22×#13063243 | 2 |
| C2×#14582805 | 2 |
| C2×#14582667 | 2 |
| #19134289 | 2 |
| C2×C4×M16×C43 | 2 |
| #10963 | 43 |