Finite Group Databasebeta

← Group #263594

Character table — Group #263594

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44
size111122444444444488888816161616161616161616161616161616161632323232
order12224424444488882244882444444444448888888888
χ111111111111111111111111111111111111111111111
χ2111111111111111111111111-1111111-1-1-111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-11-1-1-1-1-1-1111111111-1-1-1-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ51111111111111111-1-1-1-11111111-1-1-1-11-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-11111-111-1-1-1-1-111-1-1-1-111-1-111
χ71111111111111111-1-1-1-111-1-11-1-111111-1-1-1-111-1-1-1-111
χ81111111111111111-1-1-1-111-1-1-1-1-11111-111-1-1-1-11111-1-1
χ9111111111111-1-1-1-11111-1-11-111-111-1-11-1-1-1-1-1-1111-11-1
χ10111111111111-1-1-1-11111-1-11-1-11-111-1-1-111-1-111-1-1-11-11
χ11111111111111-1-1-1-11111-1-1-111-11-1-1111-1-1-1-1-1-111-11-11
χ12111111111111-1-1-1-11111-1-1-11-1-11-1-111-111-1-111-1-11-11-1
χ13111111111111-1-1-1-1-1-1-1-1-1-11-111-1-1-11111111-1-1-1-11-1-11
χ14111111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-1-111-1-1-1111111-111-1
χ15111111111111-1-1-1-1-1-1-1-1-1-1-111-1111-1-111111-1-1-1-1-111-1
χ16111111111111-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1-1-1-11111111-1-11
χ172222222-2-22-2-222-2-22-22-22-20000000000002-200000000
χ182222222-2-22-2-222-2-2-22-222-2000000000000-2200000000
χ192222222-2-22-2-2-2-2222-22-2-22000000000000-2200000000
χ202222222-2-22-2-2-2-222-22-22-220000000000002-200000000
χ21222222-22-2-2-2222-2-20000-222-20-2200000000000000000
χ22222222-22-2-2-2222-2-20000-22-2202-200000000000000000
χ23222222-22-2-2-22-2-22200002-2220-2-200000000000000000
χ24222222-22-2-2-22-2-22200002-2-2-202200000000000000000
χ25222222-2-22-22-222220000-2-2000002-22-20000000000000
χ26222222-2-22-22-222220000-2-200000-22-220000000000000
χ27222222-2-22-22-2-2-2-2-2000022000002-2-220000000000000
χ28222222-2-22-22-2-2-2-2-200002200000-222-20000000000000
χ292222-2-2-2222-2-2000022-2-20000000000002i−2i002i−2i000000
χ302222-2-2-2222-2-2000022-2-2000000000000−2i2i00−2i2i000000
χ312222-2-2-2222-2-20000-2-2220000000000002i−2i00−2i2i000000
χ322222-2-2-2222-2-20000-2-222000000000000−2i2i002i−2i000000
χ332222-2-2-2-2-222200002-2-2200002000000-20000002-20000
χ342222-2-2-2-2-222200002-2-220000-20000002000000-220000
χ352222-2-2-2-2-22220000-222-200002000000-2000000-220000
χ362222-2-2-2-2-22220000-222-20000-200000020000002-20000
χ374444-4-444-4-44-400000000000000000000000000000000
χ384444-4-44-44-4-4400000000000000000000000000000000
χ3988-8-8000000000042−420000000000000000000000000000
χ4088-8-80000000000−42420000000000000000000000000000
χ418-88-8000000004i2−4i2000000000000000000000000000000
χ428-88-800000000−4i24i2000000000000000000000000000000
χ438-8-888-800000000000000000000000000000000000000
χ448-8-88-8800000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).