Finite Group Databasebeta

← Group #245694

Character table — Group #245694

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47
size111122444444448888888888816161616161616161616161616161616161616163232
order12222222444444222444444442224444444444444888888
χ111111111111111111111111111111111111111111111111
χ211111111111111111111111111-1-111-1-111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111-1-1111-1-111-1-1-1-1-1-1-1-1-11111-1-1
χ411111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ5111111111111111-1-11-1-11-1-111-1111-111-1-111-11111-1-1-1-1-1-1
χ6111111111111111-1-11-1-11-1-111-1-1-11-1-1-1-1-111-1-1-1-1-1111111
χ7111111111111111-1-11-1-11-1-1-1-1-111-111111-1-11-1-1-1-1-1-1-1-111
χ8111111111111111-1-11-1-11-1-1-1-1-1-1-1-11-1-111-1-1111111111-1-1
χ911111111-1-11111-111-111-1-1-111-11-1111-11-1-1-1-111-1-111-1-11-1
χ1011111111-1-11111-111-111-1-1-111-1-1111-111-1-1-1-1-1-111-1-111-11
χ1111111111-1-11111-111-111-1-1-1-1-1-11-1-1-11-1-11111-1-11111-1-1-11
χ1211111111-1-11111-111-111-1-1-1-1-1-1-11-1-1-11-1111111-1-1-1-1111-1
χ1311111111-1-11111-1-1-1-1-1-1-1111111-11-11-1-11-1-1111-1-1-1-111-11
χ1411111111-1-11111-1-1-1-1-1-1-111111-111-1-11-11-1-11-1-11111-1-11-1
χ1511111111-1-11111-1-1-1-1-1-1-111-1-111-1-111-11-111-1-1-111-1-1111-1
χ1611111111-1-11111-1-1-1-1-1-1-111-1-11-11-11-111-111-111-1-111-1-1-11
χ172222222222-2-2-2-2200-200-20022000-2000002-200000000000
χ182222222222-2-2-2-2200-200-200-2-2000200000-2200000000000
χ1922222222-2-2-2-2-2-2-20020020022000-200000-2200000000000
χ2022222222-2-2-2-2-2-2-200200200-2-20002000002-200000000000
χ21222222-2-2222-2-22-2222-2-2-2-2-2002000000000000000000000
χ22222222-2-2222-2-22-2-2-2222-22200-2000000000000000000000
χ23222222-2-222-222-2-200-200200000000200-2200-20000000000
χ24222222-2-222-222-2-200-200200000000-2002-20020000000000
χ25222222-2-2-2-22-2-22222-2-2-222200-2000000000000000000000
χ26222222-2-2-2-22-2-222-2-2-2222-2-2002000000000000000000000
χ27222222-2-2-2-2-222-2200200-200000000200-2-20020000000000
χ28222222-2-2-2-2-222-2200200-200000000-2002200-20000000000
χ292222-2-22-200-22-2202-202-200000002000-2000000000002-200
χ302222-2-22-200-22-2202-202-20000000-2000200000000000-2200
χ312222-2-22-200-22-220-220-2200000002000-200000000000-2200
χ322222-2-22-200-22-220-220-220000000-20002000000000002-200
χ332222-2-2-2200-2-22202-20-220000002000-200000000002-20000
χ342222-2-2-2200-2-22202-20-22000000-200020000000000-220000
χ352222-2-2-2200-2-2220-2202-20000002000-20000000000-220000
χ362222-2-2-2200-2-2220-2202-2000000-2000200000000002-20000
χ374444-4-44-4004-44-4000000000000000000000000000000000
χ384444-4-4-440044-4-4000000000000000000000000000000000
χ394-44-44-4004-40000000000000000000000000002i−2i2i−2i000000
χ404-44-44-4004-4000000000000000000000000000−2i2i−2i2i000000
χ414-44-44-400-440000000000000000000000000002i−2i−2i2i000000
χ424-44-44-400-44000000000000000000000000000−2i2i2i−2i000000
χ4388-8-800000000000000000004i−4i0000000000000000000000
χ4488-8-80000000000000000000−4i4i0000000000000000000000
χ458-88-8-8800000000000000000000000000000000000000000
χ468-8-88000000000000000004-4000000000000000000000000
χ478-8-8800000000000000000-44000000000000000000000000

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