| order | 35104 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#17984203 |
| unambiguous semidirect product | D1097⋊C42 |
| Fitting | C2×C4×C1097 ⋊ C4 |
| derived, Sylow | C1097 ⋊ C2×C42 |
108 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8776 |
2224 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35104, 222);