Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
| unambiguous semidirect product | (C2×#13062438)⋊C4 |
| Fitting | C2×C4×C337 ⋊ C4 |
| Sylow | C337 ⋊ #95 |
76 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,337|a^2=d,b^2=e,b^a=bc,f^a=f^148,f^d=f^336692 conjugacy classes — view the full character table.
| maximal subgroup of | #36342156, #36342157, #36342158, … |
| maximal normal subgroup of | #36342156, #36342157, #36342158, … |
| maximal quotient of | #36342170, #36342171, #36342172, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 197);