Finite Group Databasebeta

← Group #309948

Character table — Group #309948

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1111-111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-111111111111111-1-1-11-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ61111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1-111-1
χ71111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-111-1
χ81111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-11111-1-11
χ911111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-1111111111-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111-1-1-1111111-1-1-1
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-111-1-1-1-1-1-111111111-1-1-111111-1-111-1-1-1
χ1611111111111111111-1-1-1-11-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1111
χ1722222222222-2-2-2-22-22222-20000000022-2-2000022-2-200000000000-200000000000
χ1822222222222-2-2-2-22-22222-200000000-2-2-2-20000-2-22200000000000200000000000
χ1922222222222-2-2-2-22-2-2-2-2-2-20000000022220000-2-22200000000000-200000000000
χ2022222222222-2-2-2-22-2-2-2-2-2-200000000-2-222000022-2-200000000000200000000000
χ2122222222-2-2-22222-2-20000-2222222-2-2000022-2-2000000000000-200000000000000
χ2222222222-2-2-22222-2-20000-22222-2-2220000-2-2-2-2000000000000200000000000000
χ2322222222-2-2-22222-2-20000-2-2-2-2-222220000-2-222000000000000-200000000000000
χ2422222222-2-2-22222-2-20000-2-2-2-2-2-2-2-2-200002222000000000000200000000000000
χ252-22-222-2-2-22-20000202i2i−2i−2i022−2−200002i−2i00002−22-200i2i2−i2−i222−2−200000000i2−i200000
χ262-22-222-2-2-22-20000202i2i−2i−2i022−2−20000−2i2i00002−2-2200i2i2−i2−i2−2−22200000000−i2i200000
χ272-22-222-2-2-22-20000202i2i−2i−2i0−2−22200002i−2i0000−222-200−i2−i2i2i2−2−22200000000−i2i200000
χ282-22-222-2-2-22-20000202i2i−2i−2i0−2−2220000−2i2i0000−22-2200−i2−i2i2i222−2−200000000i2−i200000
χ292-22-222-2-2-22-2000020−2i−2i2i2i022−2−200002i−2i00002−2-2200−i2−i2i2i2−2−22200000000i2−i200000
χ302-22-222-2-2-22-2000020−2i−2i2i2i022−2−20000−2i2i00002−22-200−i2−i2i2i222−2−200000000−i2i200000
χ312-22-222-2-2-22-2000020−2i−2i2i2i0−2−22200002i−2i0000−22-2200i2i2−i2−i222−2−200000000−i2i200000
χ322-22-222-2-2-22-2000020−2i−2i2i2i0−2−2220000−2i2i0000−222-200i2i2−i2−i2−2−22200000000i2−i200000
χ332-2-22-222-22-2-222-2-22-22i−2i2i−2i200000000002i−2i00000000000000000000002i−2i00002-20
χ342-2-22-222-22-2-222-2-22-22i−2i2i−2i200000000002i−2i0000000000000000000000−2i2i0000-220
χ352-2-22-222-22-2-222-2-22-2−2i2i−2i2i20000000000−2i2i00000000000000000000002i−2i0000-220
χ362-2-22-222-22-2-222-2-22-2−2i2i−2i2i20000000000−2i2i0000000000000000000000−2i2i00002-20
χ372-2-22-222-22-2-2-2-222222i−2i2i−2i-20000002i−2i00−2i2i2i−2i0000000000000002-2000000000000
χ382-2-22-222-22-2-2-2-222222i−2i2i−2i-2000000−2i2i00−2i2i−2i2i000000000000000-22000000000000
χ392-2-22-222-22-2-2-2-22222−2i2i−2i2i-20000002i−2i002i−2i2i−2i000000000000000-22000000000000
χ402-2-22-222-22-2-2-2-22222−2i2i−2i2i-2000000−2i2i002i−2i−2i2i0000000000000002-2000000000000
χ412-2-22-222-2-222-2-222-2-2000020000002i−2i0000−2i2i0000002-22-2000000002i−2i000000000
χ422-2-22-222-2-222-2-222-2-2000020000002i−2i0000−2i2i000000-22-2200000000−2i2i000000000
χ432-2-22-222-2-222-2-222-2-200002000000−2i2i00002i−2i0000002-22-200000000−2i2i000000000
χ442-2-22-222-2-222-2-222-2-200002000000−2i2i00002i−2i000000-22-22000000002i−2i000000000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ46444-4-4-44-40004-44-400000000000000000000000000000000000000000000022−22000
χ47444-4-4-44-40004-44-4000000000000000000000000000000000000000000000−2222000
χ48444-4-4-44-4000-44-44000000000004-40000000000000000000000000000000000000
χ49444-4-4-44-4000-44-4400000000000-440000000000000000000000000000000000000
χ5044-444-4-4-40000000000000022−2222−220000000000000022−2200002-22-2000000000000000
χ5144-444-4-4-40000000000000022−2222−2200000000000000−22220000-22-22000000000000000
χ5244-444-4-4-400000000000000−2222−22220000000000000022−220000-22-22000000000000000
χ5344-444-4-4-400000000000000−2222−222200000000000000−222200002-22-2000000000000000
χ5444-4-4-44-4444-40000-4000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ5544-4-4-44-4444-40000-400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5644-4-4-44-44-4-440000404-4-4400000000000000000000000000000000000000000000
χ5744-4-4-44-44-4-44000040-444-400000000000000000000000000000000000000000000
χ584-44-444-4-44-440000-40000002222−22−220000000000−2222000000000000000000000000000
χ594-44-444-4-44-440000-4000000−22−222222000000000022−22000000000000000000000000000
χ604-4-44-444-4-44444-4-4-440000-40000000000000000000000000000000000000000000
χ614-4-4-44-4440004-4-4400000004-4-44000000000000000000000000000000000000000
χ624-4-4-44-4440004-4-440000000-444-4000000000000000000000000000000000000000
χ634-4-4-44-444000-444-4000000000000000000000000000000022−22−2222000000000000000
χ644-4-4-44-444000-444-40000000000000000000000000000000−222222−22000000000000000
χ658-888-8-8-88000000000000000000000000000000000000000000000000000000000

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