Order 12032.
1710 conjugacy classes of subgroups.
The subgroup lattice has 366 nodes — too large to display as a diagram.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 21. C2×C4×Q8×C47 | C4 | semidirect |
| 32. C2×C4⋊Dic47 | Q8 | semidirect |
| 193. C2×C4×Q8 | Dic47 | semidirect |
| 208. C47 | #13925 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#15688989 | 2 |
| C2×C4×C4⋊Dic47 | 2 |
| #20241659 | 2 |
| #20241656 | 2 |
| #20241620 | 2 |
| #20241618 | 2 |
| C22×C4×Q8×C47 | 2 |
| #13925 | 47 |