Finite Group Databasebeta

← Group #282859

Character table — Group #282859

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888222244444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111111111-1-11111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-111-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111
χ51111111111111111111111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1111-1-1111111-1-1-1
χ911111111111111111-1-1-1-111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11
χ1011111111111111111-1-1-1-11111111-1-111-1-1111111-1-1-1-1111111-11-1-1-1-1-1-1-1-11111-1
χ1111111111111111111-1-1-1-111111-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1111111-1
χ1211111111111111111-1-1-1-111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111-1-1-1-1-1-11
χ1311111111111111111-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111111-111-1-111-1-1-1-111-1
χ1411111111111111111-1-1-1-11-1-1-1-111-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-11
χ1511111111111111111-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-1-1-111-1-11
χ1611111111111111111-1-1-1-11-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-11-1-1111111-1-111-1
χ17222222222-2-222-22-2-20000-2222222002200-2-2-2-20000000000000-20000000000000
χ18222222222-2-222-22-2-20000-22222-2-200-2-20022-2-2000000000000020000000000000
χ19222222222-2-222-22-2-20000-2-2-2-2-22200-2-200-2-222000000000000020000000000000
χ20222222222-2-222-22-2-20000-2-2-2-2-2-2-200220022220000000000000-20000000000000
χ2122222222-222-2-22-22-22222-20000002200-2-20000-2-20000220000-200000000000000
χ2222222222-222-2-22-22-22222-2000000-2-200-2-20000220000-2-20000200000000000000
χ2322222222-222-2-22-22-2-2-2-2-2-20000002200220000220000-2-20000-200000000000000
χ2422222222-222-2-22-22-2-2-2-2-2-2000000-2-200220000-2-20000220000200000000000000
χ252-22-22-2-2202-20020-202i2i−2i−2i022−2−2002-20000002−200i2i2−i2−i22i−2ii2i2−i2−i2000000002−200000
χ262-22-22-2-2202-20020-202i2i−2i−2i022−2−200-220000002−200i2i2−i2−i2−2i2i−i2−i2i2i200000000−2200000
χ272-22-22-2-2202-20020-202i2i−2i−2i0−2−222002-2000000−2200−i2−i2i2i22i−2i−i2−i2i2i200000000−2200000
χ282-22-22-2-2202-20020-202i2i−2i−2i0−2−22200-22000000−2200−i2−i2i2i2−2i2ii2i2−i2−i2000000002−200000
χ292-22-22-2-2202-20020-20−2i−2i2i2i022−2−2002-20000002−200−i2−i2i2i2−2i2i−i2−i2i2i2000000002−200000
χ302-22-22-2-2202-20020-20−2i−2i2i2i022−2−200-220000002−200−i2−i2i2i22i−2ii2i2−i2−i200000000−2200000
χ312-22-22-2-2202-20020-20−2i−2i2i2i0−2−222002-2000000−2200i2i2−i2−i2−2i2ii2i2−i2−i200000000−2200000
χ322-22-22-2-2202-20020-20−2i−2i2i2i0−2−22200-22000000−2200i2i2−i2−i22i−2i−i2−i2i2i2000000002−200000
χ332-2-22-22-22222-2-2-22-222i−2i2i−2i-200002-200002i−2i2-20000000000000000002i−2i000000000
χ342-2-22-22-22222-2-2-22-222i−2i2i−2i-20000-2200002i−2i-22000000000000000000−2i2i000000000
χ352-2-22-22-22222-2-2-22-22−2i2i−2i2i-200002-20000−2i2i2-2000000000000000000−2i2i000000000
χ362-2-22-22-22222-2-2-22-22−2i2i−2i2i-20000-220000−2i2i-220000000000000000002i−2i000000000
χ372-2-22-22-222-2-2-2-2222-20000200002-2000000-2200002-22-2000000002-200000000000
χ382-2-22-22-222-2-2-2-2222-20000200002-2000000-220000-22-2200000000-2200000000000
χ392-2-22-22-222-2-2-2-2222-2000020000-220000002-200002-22-200000000-2200000000000
χ402-2-22-22-222-2-2-2-2222-2000020000-220000002-20000-22-22000000002-200000000000
χ412-2-22-22-22-22222-2-2-2-22i−2i2i−2i20000000000−2i2i00000000000000000000002-2002i−2i000
χ422-2-22-22-22-22222-2-2-2-22i−2i2i−2i20000000000−2i2i0000000000000000000000-2200−2i2i000
χ432-2-22-22-22-22222-2-2-2-2−2i2i−2i2i200000000002i−2i00000000000000000000002-200−2i2i000
χ442-2-22-22-22-22222-2-2-2-2−2i2i−2i2i200000000002i−2i0000000000000000000000-22002i−2i000
χ4544444444-4-4-4-4-4-4-4-44000040000000000000000000000000000000000000000000
χ464444-4-4-4-44004-40-40000000000000004-4000000000000000000000000000000000
χ474444-4-4-4-44004-40-4000000000000000-44000000000000000000000000000000000
χ484444-4-4-4-4-400-4404000000000000000000000000000000000000000000000002i2−2i20
χ494444-4-4-4-4-400-440400000000000000000000000000000000000000000000000−2i22i20
χ5044-4-444-4-4000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ5144-4-444-4-4000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5244-4-444-4-400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5344-4-444-4-400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5444-4-4-4-44404-400-40404-4-4400000000000000000000000000000000000000000000
χ5544-4-4-4-44404-400-4040-444-400000000000000000000000000000000000000000000
χ5644-4-4-4-4440-440040-40000000000000000000000002i2−2i2−2i22i2000000000000000000000
χ5744-4-4-4-4440-440040-4000000000000000000000000−2i22i22i2−2i2000000000000000000000
χ584-44-44-4-440-4400-4040000002222−22−220000000000−2222000000000000000000000000000
χ594-44-44-4-440-4400-404000000−22−222222000000000022−22000000000000000000000000000
χ604-4-444-44-4400-440-400000004i−4i−4i4i000000000000000000000000000000000000000
χ614-4-444-44-4400-440-40000000−4i4i4i−4i000000000000000000000000000000000000000
χ624-4-444-44-4-4004-404000000000000000000000000000000022−22−2222000000000000000
χ634-4-444-44-4-4004-4040000000000000000000000000000000−222222−22000000000000000
χ644-4-44-44-44-4-4-4444-4440000-40000000000000000000000000000000000000000000
χ658-88-8-888-8000000000000000000000000000000000000000000000000000000000

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