Finite Group Databasebeta

← Group #165813

Character table — Group #165813

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74
size111111114444448888888888888888881616161616111111114444448888888888888888881616161616
order12222222444444444444888888888888444442222222244444444444488888888888844444
χ111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1
χ31111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1
χ41111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111
χ511111111111111-1-111-1-11111-1-1-1-11111-11-1-1-111111111111111-1-111-1-11111-1-1-1-11111-11-1-1-1
χ611111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111
χ711111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111
χ811111111111111-1-1-1-111-1-1-1-111111111-1-11-1-111111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1
χ9222222222-2-22-2-200002200000000000000-200222222222-2-22-2-200002200000000000000-200
χ10222222222-2-22-2-20000-2-200000000000000200222222222-2-22-2-20000-2-200000000000000200
χ1122222222-22-2-22-20022000000000000000-200022222222-22-2-22-20022000000000000000-2000
χ1222222222-22-2-22-200-2-2000000000000000200022222222-22-2-22-200-2-20000000000000002000
χ1322222222-2-22-2-22220000000000000000-2000022222222-2-22-2-22220000000000000000-20000
χ1422222222-2-22-2-22-2-200000000000000002000022222222-2-22-2-22-2-2000000000000000020000
χ152222-2-2-2-2200-20000002-2000022−2−222−2−2000002222-2-2-2-2200-20000002-2000022−2−222−2−200000
χ162222-2-2-2-2200-20000002-20000−2−222−2−222000002222-2-2-2-2200-20000002-20000−2−222−2−22200000
χ172222-2-2-2-2200-2000000-22000022−2−2−2−222000002222-2-2-2-2200-2000000-22000022−2−2−2−22200000
χ182222-2-2-2-2200-2000000-220000−2−22222−2−2000002222-2-2-2-2200-2000000-220000−2−22222−2−200000
χ1922-2-22-22-200-20022i−2i000022−2−2i2−i2i2−i200000000022-2-22-22-200-20022i−2i000022−2−2i2−i2i2−i2000000000
χ2022-2-22-22-200-20022i−2i0000−2−222−i2i2−i2i200000000022-2-22-22-200-20022i−2i0000−2−222−i2i2−i2i2000000000
χ2122-2-22-22-200-2002−2i2i000022−2−2−i2i2−i2i200000000022-2-22-22-200-2002−2i2i000022−2−2−i2i2−i2i2000000000
χ2222-2-22-22-200-2002−2i2i0000−2−222i2−i2i2−i200000000022-2-22-22-200-2002−2i2i0000−2−222i2−i2i2−i2000000000
χ232-22-2-222-20-20020002i−2i002−22−20000i2−i2i2−i2000002-22-2-222-20-20020002i−2i002−22−20000i2−i2i2−i200000
χ242-22-2-222-20-20020002i−2i00−22−220000−i2i2−i2i2000002-22-2-222-20-20020002i−2i00−22−220000−i2i2−i2i200000
χ252-22-2-222-20-2002000−2i2i002−22−20000−i2i2−i2i2000002-22-2-222-20-2002000−2i2i002−22−20000−i2i2−i2i200000
χ262-22-2-222-20-2002000−2i2i00−22−220000i2−i2i2−i2000002-22-2-222-20-2002000−2i2i00−22−220000i2−i2i2−i200000
χ274444-4-4-4-4-400400000000000000000000000004444-4-4-4-4-40040000000000000000000000000
χ2844-4-44-44-400400-40000000000000000000000044-4-44-44-400400-400000000000000000000000
χ2944-4-4-44-4400000000000000002i−2i−2i2i00000000044-4-4-44-4400000000000000002i−2i−2i2i000000000
χ3044-4-4-44-440000000000000000−2i2i2i−2i00000000044-4-4-44-440000000000000000−2i2i2i−2i000000000
χ314-44-44-4-44000000000000000000002i−2i−2i2i000004-44-44-4-44000000000000000000002i−2i−2i2i00000
χ324-44-44-4-4400000000000000000000−2i2i2i−2i000004-44-44-4-4400000000000000000000−2i2i2i−2i00000
χ334-44-4-444-40400-40000000000000000000000004-44-4-444-40400-4000000000000000000000000
χ344-4-4444-4-40000000000000000000000000002i−2i4-4-4444-4-40000000000000000000000000002i−2i
χ354-4-4444-4-4000000000000000000000000000−2i2i4-4-4444-4-4000000000000000000000000000−2i2i
χ364-4-44-4-4440000000000002-2-2200000000000004-4-44-4-4440000000000002-2-220000000000000
χ374-4-44-4-444000000000000-222-200000000000004-4-44-4-444000000000000-222-20000000000000
χ381111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3911111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-111
χ401111111111111111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-11111
χ411111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1-1
χ4211111111111111-1-111-1-11111-1-1-1-11111-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11-1111
χ4311111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-11-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1-1
χ4411111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1
χ4511111111111111-1-1-1-111-1-1-1-111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-111-111
χ46222222222-2-22-2-200002200000000000000-200-2-2-2-2-2-2-2-2-222-2220000-2-200000000000000200
χ47222222222-2-22-2-20000-2-200000000000000200-2-2-2-2-2-2-2-2-222-22200002200000000000000-200
χ4822222222-22-2-22-20022000000000000000-2000-2-2-2-2-2-2-2-22-222-2200-2-20000000000000002000
χ4922222222-22-2-22-200-2-20000000000000002000-2-2-2-2-2-2-2-22-222-220022000000000000000-2000
χ5022222222-2-22-2-22220000000000000000-20000-2-2-2-2-2-2-2-222-222-2-2-2000000000000000020000
χ5122222222-2-22-2-22-2-2000000000000000020000-2-2-2-2-2-2-2-222-222-2220000000000000000-20000
χ522222-2-2-2-2200-20000002-2000022−2−222−2−200000-2-2-2-22222-2002000000-220000−2−222−2−22200000
χ532222-2-2-2-2200-20000002-20000−2−222−2−22200000-2-2-2-22222-2002000000-22000022−2−222−2−200000
χ542222-2-2-2-2200-2000000-22000022−2−2−2−22200000-2-2-2-22222-20020000002-20000−2−22222−2−200000
χ552222-2-2-2-2200-2000000-220000−2−22222−2−200000-2-2-2-22222-20020000002-2000022−2−2−2−22200000
χ5622-2-22-22-200-20022i−2i000022−2−2i2−i2i2−i2000000000-2-222-22-2200200-2−2i2i0000−2−222−i2i2−i2i2000000000
χ5722-2-22-22-200-20022i−2i0000−2−222−i2i2−i2i2000000000-2-222-22-2200200-2−2i2i000022−2−2i2−i2i2−i2000000000
χ5822-2-22-22-200-2002−2i2i000022−2−2−i2i2−i2i2000000000-2-222-22-2200200-22i−2i0000−2−222i2−i2i2−i2000000000
χ5922-2-22-22-200-2002−2i2i0000−2−222i2−i2i2−i2000000000-2-222-22-2200200-22i−2i000022−2−2−i2i2−i2i2000000000
χ602-22-2-222-20-20020002i−2i002−22−20000i2−i2i2−i200000-22-222-2-220200-2000−2i2i00−22−220000−i2i2−i2i200000
χ612-22-2-222-20-20020002i−2i00−22−220000−i2i2−i2i200000-22-222-2-220200-2000−2i2i002−22−20000i2−i2i2−i200000
χ622-22-2-222-20-2002000−2i2i002−22−20000−i2i2−i2i200000-22-222-2-220200-20002i−2i00−22−220000i2−i2i2−i200000
χ632-22-2-222-20-2002000−2i2i00−22−220000i2−i2i2−i200000-22-222-2-220200-20002i−2i002−22−20000−i2i2−i2i200000
χ644444-4-4-4-4-40040000000000000000000000000-4-4-4-44444400-40000000000000000000000000
χ6544-4-44-44-400400-400000000000000000000000-4-444-44-4400-400400000000000000000000000
χ6644-4-4-44-4400000000000000002i−2i−2i2i000000000-4-4444-44-40000000000000000−2i2i2i−2i000000000
χ6744-4-4-44-440000000000000000−2i2i2i−2i000000000-4-4444-44-400000000000000002i−2i−2i2i000000000
χ684-44-44-4-44000000000000000000002i−2i−2i2i00000-44-44-444-400000000000000000000−2i2i2i−2i00000
χ694-44-44-4-4400000000000000000000−2i2i2i−2i00000-44-44-444-4000000000000000000002i−2i−2i2i00000
χ704-44-4-444-40400-4000000000000000000000000-44-444-4-440-4004000000000000000000000000
χ714-4-4444-4-40000000000000000000000000002i−2i-444-4-4-444000000000000000000000000000−2i2i
χ724-4-4444-4-4000000000000000000000000000−2i2i-444-4-4-4440000000000000000000000000002i−2i
χ734-4-44-4-4440000000000002-2-220000000000000-444-444-4-4000000000000-222-20000000000000
χ744-4-44-4-444000000000000-222-20000000000000-444-444-4-40000000000002-2-220000000000000

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