Finite Group DatabasebetaFinite Group Databasebeta| order | 10784 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C337 ⋊ #97 |
40 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,337|a^2=c,b^2=d,c^2=e,b^a=be,f^a=f^148,f^c=f^336692 conjugacy classes — view the full character table.
| maximal subgroup of | #36342160, #36342161, #36342162, … |
| maximal normal subgroup of | #36342160, #36342161, #36342162, … |
| maximal quotient of | #36342147, #36342171, #36342197, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10784, 201);