Finite Group Databasebeta

← Group #277673

Character table — Group #277673

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68
size11111111222222224444444444444444444444444488888888161616161616161616161616161616163232
order12222222444444444488888888888888888888888844444444244444448888888844
χ111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111111-1-1-1-1-1-1-111-1-11-1
χ61111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-111111111-1-1-11
χ71111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1111-1-1-1-1-1-111-11
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-11-1-11111-1-1111-1
χ9111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1-1-111
χ11111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111
χ12111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ13111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1111-1-1-1-1-111-1-111-11
χ14111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-11-11111-1-1-1-1111-1
χ15111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1111-1-11111-1-11-1
χ16111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-11-1-111-1-111-1-1-11
χ172222222222-2-2-222-2-2-200002222-2-2-2-2000000000000222200000000-2-2000000000000
χ182222222222-2-2-222-2-2-200002222-2-2-2-2000000000000-2-2-2-20000000022000000000000
χ192222222222-2-2-222-2-2-20000-2-2-2-2222200000000000022-2-200000000-22000000000000
χ202222222222-2-2-222-2-2-20000-2-2-2-22222000000000000-2-222000000002-2000000000000
χ2122222222-2-2222-2-22-2-2222200000000-2-2-2-200000000000022-2-22-20000000000000000
χ2222222222-2-2222-2-22-2-2222200000000-2-2-2-2000000000000-2-222-220000000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-200000000222200000000000022-2-2-220000000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-2000000002222000000000000-2-2222-20000000000000000
χ252-222-2-2-222-20002-2000i2i2−i2−i222-2-20000i2i2−i2−i2i2i2i2i2−i2−i2−i2−i22i−2i2i−2i00000000000000002−22−200
χ262-222-2-2-222-20002-2000i2i2−i2−i222-2-20000i2i2−i2−i2i2i2i2i2−i2−i2−i2−i2−2i2i−2i2i0000000000000000−22−2200
χ272-222-2-2-222-20002-2000i2i2−i2−i2-2-2220000i2i2−i2−i2−i2−i2−i2−i2i2i2i2i22i−2i−2i2i00000000000000002−2−2200
χ282-222-2-2-222-20002-2000i2i2−i2−i2-2-2220000i2i2−i2−i2−i2−i2−i2−i2i2i2i2i2−2i2i2i−2i0000000000000000−222−200
χ292-222-2-2-222-20002-2000−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2−i2−i2i2i2i2i22i−2i2i−2i0000000000000000−22−2200
χ302-222-2-2-222-20002-2000−i2−i2i2i222-2-20000−i2−i2i2i2−i2−i2−i2−i2i2i2i2i2−2i2i−2i2i00000000000000002−22−200
χ312-222-2-2-222-20002-2000−i2−i2i2i2-2-2220000−i2−i2i2i2i2i2i2i2−i2−i2−i2−i22i−2i−2i2i0000000000000000−222−200
χ322-222-2-2-222-20002-2000−i2−i2i2i2-2-2220000−i2−i2i2i2i2i2i2i2−i2−i2−i2−i2−2i2i2i−2i00000000000000002−2−2200
χ332-22-2-222-222-2-22-2-222-200000000000000002i2i−2i−2i2i2i−2i−2i00002-22-200000000002i−2i000000
χ342-22-2-222-222-2-22-2-222-200000000000000002i2i−2i−2i2i2i−2i−2i0000-22-220000000000−2i2i000000
χ352-22-2-222-222-2-22-2-222-20000000000000000−2i−2i2i2i−2i−2i2i2i00002-22-20000000000−2i2i000000
χ362-22-2-222-222-2-22-2-222-20000000000000000−2i−2i2i2i−2i−2i2i2i0000-22-2200000000002i−2i000000
χ372-22-2-222-2-2-222-222-22-200002-22-222-2-200000000000000000000002i−2i002i−2i0000000000
χ382-22-2-222-2-2-222-222-22-200002-22-222-2-20000000000000000000000−2i2i00−2i2i0000000000
χ392-22-2-222-2-2-222-222-22-20000-22-22-2-22200000000000000000000002i−2i00−2i2i0000000000
χ402-22-2-222-2-2-222-222-22-20000-22-22-2-2220000000000000000000000−2i2i002i−2i0000000000
χ412-22-2-222-2-2-2-2-22222-2200002-22-2-2-22200000000000000002-2-22000000002-200000000
χ422-22-2-222-2-2-2-2-22222-2200002-22-2-2-2220000000000000000-222-200000000-2200000000
χ432-22-2-222-2-2-2-2-22222-220000-22-2222-2-200000000000000002-2-2200000000-2200000000
χ442-22-2-222-2-2-2-2-22222-220000-22-2222-2-20000000000000000-222-2000000002-200000000
χ4544444444-4-4-4-4-4-4-4-44400000000000000000000000000000000000000000000000000
χ46444-44-4-4-44-4000-4400000000000000000002222−22−22−22−22222200000000000000000000000000
χ47444-44-4-4-44-4000-440000000000000000000−22−2222222222−22−2200000000000000000000000000
χ48444-44-4-4-4-440004-400000004-4-44000000000000000000000000000000000000000000
χ49444-44-4-4-4-440004-40000000-444-4000000000000000000000000000000000000000000
χ5044-44-44-4-4004-4400-400000000000000000022−2222−2222−2222−2200000000000000000000000000
χ5144-44-44-4-4004-4400-4000000000000000000−2222−2222−2222−222200000000000000000000000000
χ5244-44-44-4-400-44-4004004i−4i4i−4i0000000000000000000000000000000000000000000000
χ5344-44-44-4-400-44-400400−4i4i−4i4i0000000000000000000000000000000000000000000000
χ5444-4-4-4-4440000000000000000002i2−2i22i2−2i22i2−2i22i2−2i22-2-22-222-200000000000000000000000000
χ5544-4-4-4-4440000000000000000002i2−2i22i2−2i2−2i22i2−2i22i2-222-22-2-2200000000000000000000000000
χ5644-4-4-4-444000000000000000000−2i22i2−2i22i22i2−2i22i2−2i2-222-22-2-2200000000000000000000000000
χ5744-4-4-4-444000000000000000000−2i22i2−2i22i2−2i22i2−2i22i22-2-22-222-200000000000000000000000000
χ584-444-4-4-44-44000-440002i22i2−2i2−2i200000000−2i2−2i22i22i20000000000000000000000000000000000
χ594-444-4-4-44-44000-44000−2i2−2i22i22i2000000002i22i2−2i2−2i20000000000000000000000000000000000
χ604-44-4-444-44444-4-4-4-4-4400000000000000000000000000000000000000000000000000
χ614-4-444-44-4000000000022−22−222200002i2−2i2−2i22i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ624-4-444-44-4000000000022−22−22220000−2i22i22i2−2i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ634-4-444-44-40000000000−222222−2200002i2−2i2−2i22i20000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000
χ644-4-444-44-40000000000−222222−220000−2i22i22i2−2i200002i−2i2i−2i−2i2i−2i2i00000000000000000000000000
χ654-4-4-444-44004-4-4004000000000000004-4-440000000000000000000000000000000000
χ664-4-4-444-44004-4-400400000000000000-444-40000000000000000000000000000000000
χ674-4-4-444-4400-44400-40000000000000000002i2−2i2−2i22i22i2−2i2−2i22i200000000000000000000000000
χ684-4-4-444-4400-44400-4000000000000000000−2i22i22i2−2i2−2i22i22i2−2i200000000000000000000000000

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