Finite Group Databasebeta

← Group #310283

Character table — Group #310283

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
χ311111111111111111111111111-1-11111111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ51111111111111111111111-1-1-1-11111-1-11111-1-11111-1-1-1-1-1-1-1-1111-1-1-11111-1-1-1-1-1
χ61111111111111111111111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1111-1-1-1-111-1-11
χ71111111111111111111111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-1-1-111111
χ81111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111111-1-111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111-1-1-1-1111
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1111111111-1-111-111-1-111-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-111-1-1-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-1-111-1-1-111-1-1111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-111-1-1111-1-11111-1
χ17222222222-22-2-222-22222-2-20000220000-2-20000-2-22200000000-200000000000000
χ18222222222-22-2-222-22222-2-20000-2-20000-2-2000022-2-200000000200000000000000
χ19222222222-22-2-222-2-2-2-2-2-2-2000022000022000022-2-200000000-200000000000000
χ20222222222-22-2-222-2-2-2-2-2-2-20000-2-20000220000-2-22200000000200000000000000
χ2122222222-22-222-2-220000-2-2222200222200-2-2-2-200000000000000000-2000000000
χ2222222222-22-222-2-220000-2-2222200-2-2-2-20022-2-2000000000000000002000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-20022-2-200-2-222000000000000000002000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-200-2-22200222200000000000000000-2000000000
χ252-22-22-22-222-2-2-22-222i2i−2i−2i2-200000000002i−2i00000000000000000000002i−2i2-200000
χ262-22-22-22-222-2-2-22-222i2i−2i−2i2-200000000002i−2i0000000000000000000000−2i2i-2200000
χ272-22-22-22-222-2-2-22-22−2i−2i2i2i2-20000000000−2i2i00000000000000000000002i−2i-2200000
χ282-22-22-22-222-2-2-22-22−2i−2i2i2i2-20000000000−2i2i0000000000000000000000−2i2i2-200000
χ292-22-22-22-22-2-2222-2-22i2i−2i−2i-220000002i−2i00−2i2i2i−2i0000000000000002-2000000000000
χ302-22-22-22-22-2-2222-2-22i2i−2i−2i-22000000−2i2i00−2i2i−2i2i000000000000000-22000000000000
χ312-22-22-22-22-2-2222-2-2−2i−2i2i2i-220000002i−2i002i−2i2i−2i000000000000000-22000000000000
χ322-22-22-22-22-2-2222-2-2−2i−2i2i2i-22000000−2i2i002i−2i−2i2i0000000000000002-2000000000000
χ332-22-22-22-2-2-2222-22-200002-20000002i−2i0000−2i2i0000002i2i−2i−2i00000002-20000000000
χ342-22-22-22-2-2-2222-22-200002-20000002i−2i0000−2i2i000000−2i−2i2i2i0000000-220000000000
χ352-22-22-22-2-2-2222-22-200002-2000000−2i2i00002i−2i0000002i2i−2i−2i0000000-220000000000
χ362-22-22-22-2-2-2222-22-200002-2000000−2i2i00002i−2i000000−2i−2i2i2i00000002-20000000000
χ372-22-2-22-2220200-2-202i−2i2i−2i0022−2−22-2000000002−2002i−2ii2−i2i2−i2i2i2−i2−i20000000000002−20
χ382-22-2-22-2220200-2-202i−2i2i−2i0022−2−2-22000000002−200−2i2ii2−i2i2−i2−i2−i2i2i2000000000000−220
χ392-22-2-22-2220200-2-202i−2i2i−2i00−2−2222-200000000−22002i−2i−i2i2−i2i2−i2−i2i2i2000000000000−220
χ402-22-2-22-2220200-2-202i−2i2i−2i00−2−222-2200000000−2200−2i2i−i2i2−i2i2i2i2−i2−i20000000000002−20
χ412-22-2-22-2220200-2-20−2i2i−2i2i0022−2−22-2000000002−200−2i2i−i2i2−i2i2−i2−i2i2i20000000000002−20
χ422-22-2-22-2220200-2-20−2i2i−2i2i0022−2−2-22000000002−2002i−2i−i2i2−i2i2i2i2−i2−i2000000000000−220
χ432-22-2-22-2220200-2-20−2i2i−2i2i00−2−2222-200000000−2200−2i2ii2−i2i2−i2i2i2−i2−i2000000000000−220
χ442-22-2-22-2220200-2-20−2i2i−2i2i00−2−222-2200000000−22002i−2ii2−i2i2−i2−i2−i2i2i20000000000002−20
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-440-400-4404-4-44000000000000000000000000000000000000000000000
χ474444-4-4-4-440-400-440-444-4000000000000000000000000000000000000000000000
χ484444-4-4-4-4-404004-400000000000000000000000000022−22−22220000000000000000000
χ494444-4-4-4-4-404004-4000000000000000000000000000−222222−220000000000000000000
χ5044-4-444-4-40404-400-4000000000000004-4000000000000000000000000000000000
χ5144-4-444-4-40404-400-400000000000000-44000000000000000000000000000000000
χ5244-4-444-4-40-40-44004000000000000000000000000000000000000000000002i2−2i2000
χ5344-4-444-4-40-40-4400400000000000000000000000000000000000000000000−2i22i2000
χ5444-4-4-4-4440000000000000022−2222−2200000000000022−220000002-22-2000000000000000
χ5544-4-4-4-4440000000000000022−2222−22000000000000−2222000000-22-22000000000000000
χ5644-4-4-4-44400000000000000−2222−222200000000000022−22000000-22-22000000000000000
χ5744-4-4-4-44400000000000000−2222−2222000000000000−22220000002-22-2000000000000000
χ584-44-44-44-4-444-4-4-4440000-440000000000000000000000000000000000000000000
χ594-44-4-44-44-40-4004400000002222−22−220000000000−2222000000000000000000000000000
χ604-44-4-44-44-40-400440000000−22−222222000000000022−22000000000000000000000000000
χ614-4-444-4-44040-4400-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ624-4-444-4-44040-4400-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ634-4-444-4-440-404-40040000004-4-44000000000000000000000000000000000000000
χ644-4-444-4-440-404-4004000000-444-4000000000000000000000000000000000000000
χ658-8-88-888-8000000000000000000000000000000000000000000000000000000000

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