Finite Group Databasebeta

← Group #280319

Character table — Group #280319

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888224444444488888888888888244444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-1111111-1-1-1-11111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111-1-1-1-11111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-111-1
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
χ51111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-11111-1-111-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1111
χ71111111111111111111111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1111-1-111-1-11111-1
χ91111111111111111-1-1-1-1111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ101111111111111111-1-1-1-11111111111-1-1-1-111111111-1-1-1-11111-1-1-11-1-1-1-11111-1-1-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-111-1-1111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111111-1-1-11111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-111111
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1111111111-1-1111-1-1-1-111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-11111111-1-111-1
χ17222222222-22-2-222-22222-2-20000000022-2-20000-2-22200000000-200000000000000
χ18222222222-22-2-222-22222-2-200000000-2-2-2-2000022-2-200000000200000000000000
χ19222222222-22-2-222-2-2-2-2-2-2-2000000002222000022-2-200000000-200000000000000
χ20222222222-22-2-222-2-2-2-2-2-2-200000000-2-2220000-2-22200000000200000000000000
χ2122222222-22-222-2-220000-2-2222222-2-2000022-2-2000000000000000-200000000000
χ2222222222-22-222-2-220000-2-22222-2-2220000-2-2-2-2000000000000000200000000000
χ2322222222-22-222-2-220000-2-2-2-2-2-222-2-20000-2-222000000000000000200000000000
χ2422222222-22-222-2-220000-2-2-2-2-2-2-2-22200002222000000000000000-200000000000
χ252-222-22-2-220-200-2202i2i−2i−2i00i2i2−i2−i200002i−2i0000i2−i2002-222−2−2i2i2−i2−i20000000000002−20
χ262-222-22-2-220-200-2202i2i−2i−2i00i2i2−i2−i20000−2i2i0000i2−i200-2222−2−2−i2−i2i2i2000000000000−220
χ272-222-22-2-220-200-2202i2i−2i−2i00−i2−i2i2i200002i−2i0000−i2i2002-2−2−222−i2−i2i2i2000000000000−220
χ282-222-22-2-220-200-2202i2i−2i−2i00−i2−i2i2i20000−2i2i0000−i2i200-22−2−222i2i2−i2−i20000000000002−20
χ292-222-22-2-220-200-220−2i−2i2i2i00i2i2−i2−i200002i−2i0000i2−i200-22−2−222−i2−i2i2i20000000000002−20
χ302-222-22-2-220-200-220−2i−2i2i2i00i2i2−i2−i20000−2i2i0000i2−i2002-2−2−222i2i2−i2−i2000000000000−220
χ312-222-22-2-220-200-220−2i−2i2i2i00−i2−i2i2i200002i−2i0000−i2i200-2222−2−2i2i2−i2−i2000000000000−220
χ322-222-22-2-220-200-220−2i−2i2i2i00−i2−i2i2i20000−2i2i0000−i2i2002-222−2−2−i2−i2i2i20000000000002−20
χ332-22-22-2-2222-2-2-22-222i−2i2i−2i2-200000000002i−2i00000000000000000000002-2002i−2i000
χ342-22-22-2-2222-2-2-22-222i−2i2i−2i2-200000000002i−2i0000000000000000000000-2200−2i2i000
χ352-22-22-2-2222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i00000000000000000000002-200−2i2i000
χ362-22-22-2-2222-2-2-22-22−2i2i−2i2i2-20000000000−2i2i0000000000000000000000-22002i−2i000
χ372-22-22-2-222-2-2222-2-22i−2i2i−2i-2200002-22-200−2i2i000000000000000000002i−2i000000000
χ382-22-22-2-222-2-2222-2-22i−2i2i−2i-220000-22-2200−2i2i00000000000000000000−2i2i000000000
χ392-22-22-2-222-2-2222-2-2−2i2i−2i2i-2200002-22-2002i−2i00000000000000000000−2i2i000000000
χ402-22-22-2-222-2-2222-2-2−2i2i−2i2i-220000-22-22002i−2i000000000000000000002i−2i000000000
χ412-22-22-2-22-2-2222-22-200002-200002-2-220000000000002i−2i2i−2i000002i−2i000000000000
χ422-22-22-2-22-2-2222-22-200002-200002-2-22000000000000−2i2i−2i2i00000−2i2i000000000000
χ432-22-22-2-22-2-2222-22-200002-20000-222-20000000000002i−2i2i−2i00000−2i2i000000000000
χ442-22-22-2-22-2-2222-22-200002-20000-222-2000000000000−2i2i−2i2i000002i−2i000000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-44-440400-4-404-4-44000000000000000000000000000000000000000000000
χ47444-4-4-44-440400-4-40-444-4000000000000000000000000000000000000000000000
χ48444-4-4-44-4-40-400440000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ49444-4-4-44-4-40-40044000000000000000000000000000−2i22i22i2−2i20000000000000000000
χ5044-444-4-4-40404-400-400000000000000000000000000000000000000000022−2200000
χ5144-444-4-4-40404-400-4000000000000000000000000000000000000000000−222200000
χ5244-444-4-4-40-40-440040000000000000000004i−4i00000000000000000000000000000
χ5344-444-4-4-40-40-44004000000000000000000−4i4i00000000000000000000000000000
χ5444-4-4-44-440000000000000022−2222−220000000000002i2−2i20000002i−2i2i−2i000000000000000
χ5544-4-4-44-440000000000000022−2222−22000000000000−2i22i2000000−2i2i−2i2i000000000000000
χ5644-4-4-44-4400000000000000−2222−22220000000000002i2−2i2000000−2i2i−2i2i000000000000000
χ5744-4-4-44-4400000000000000−2222−2222000000000000−2i22i20000002i−2i2i−2i000000000000000
χ584-444-44-4-4-404004-400000002i22i2−2i2−2i20000000000−2i22i2000000000000000000000000000
χ594-444-44-4-4-404004-40000000−2i2−2i22i22i200000000002i2−2i2000000000000000000000000000
χ604-44-44-4-44-444-4-4-4440000-440000000000000000000000000000000000000000000
χ614-4-4-4444-4040-4400-40000004i−4i−4i4i000000000000000000000000000000000000000
χ624-4-4-4444-4040-4400-4000000−4i4i4i−4i000000000000000000000000000000000000000
χ634-4-4-4444-40-404-400400000000000000000000000000000022−22−2222000000000000000
χ644-4-4-4444-40-404-4004000000000000000000000000000000−222222−22000000000000000
χ658-8-88-8-888000000000000000000000000000000000000000000000000000000000

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