Finite Group Databasebeta

← Group #308397

Character table — Group #308397

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-111111-1-1-111-1-1-1-1-1
χ61111111111111111111111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-111-1-1-1-1-111111
χ71111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1-1-1111-1-1-1-1111
χ81111111111111111111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-111-1-11111111-1-1-1
χ91111111111111111-1-1-1-1111111-1-111111111-1-111-1-1-1-1-1-1-1-1-1-1111-1-11-1-1-1-111-1-11
χ101111111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-1-1-11-1-111-1-111-1
χ111111111111111111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-111-111111111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-11111-111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-11111111-1-1-111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-111111-1-1111-1-111-1-1-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-111111-1-1-1-11111-1
χ172222222222-2-2-222-20000-2-22222002200-2-22200-2-2000000000000000-2000000000
χ182222222222-2-2-222-20000-2-2222200-2-20022-2-200-2-20000000000000002000000000
χ192222222222-2-2-222-20000-2-2-2-2-2-2002200-2-2-2-200220000000000000002000000000
χ202222222222-2-2-222-20000-2-2-2-2-2-200-2-20022220022000000000000000-2000000000
χ2122222222-2-2222-2-222222-2-20000-2-200220000-2-2000000220000-200000000000000
χ2222222222-2-2222-2-222222-2-20000-2-200-2-2000022000000-2-20000200000000000000
χ2322222222-2-2222-2-22-2-2-2-2-2-20000220022000022000000-2-20000-200000000000000
χ2422222222-2-2222-2-22-2-2-2-2-2-200002200-2-20000-2-2000000220000200000000000000
χ252-22-222-2-2222-22-2-2-222-2-22-200002-2000000000000000000000002-2000002-200000
χ262-22-222-2-2222-22-2-2-222-2-22-200002-200000000000000000000000-2200000-2200000
χ272-22-222-2-2222-22-2-2-2-2-2222-20000-22000000000000000000000002-200000-2200000
χ282-22-222-2-2222-22-2-2-2-2-2222-20000-2200000000000000000000000-22000002-200000
χ292-22-222-2-2-2-22-2222-222-2-2-220000-222i−2i002i−2i00000000000000000002i−2i0000000000
χ302-22-222-2-2-2-22-2222-222-2-2-220000-22−2i2i00−2i2i0000000000000000000−2i2i0000000000
χ312-22-222-2-2-2-22-2222-2-2-222-2200002-22i−2i002i−2i0000000000000000000−2i2i0000000000
χ322-22-222-2-2-2-22-2222-2-2-222-2200002-2−2i2i00−2i2i00000000000000000002i−2i0000000000
χ332-22-222-2-2-2-2-22-222200002-20000002i−2i00−2i2i00000022-2-20000000000002i−2i0000000
χ342-22-222-2-2-2-2-22-222200002-20000002i−2i00−2i2i000000-2-222000000000000−2i2i0000000
χ352-22-222-2-2-2-2-22-222200002-2000000−2i2i002i−2i00000022-2-2000000000000−2i2i0000000
χ362-22-222-2-2-2-2-22-222200002-2000000−2i2i002i−2i000000-2-2220000000000002i−2i0000000
χ372-2-2-2-222200-2-220022-22-20022−2−200002-20000002−22−22−22-222−2−200000000002−2000
χ382-2-2-2-222200-2-220022-22-20022−2−20000-220000002−22−22−2-22−2−2220000000000−22000
χ392-2-2-2-222200-2-220022-22-200−2−22200002-2000000−22−22−222-2−2−2220000000000−22000
χ402-2-2-2-222200-2-220022-22-200−2−2220000-22000000−22−22−22-2222−2−200000000002−2000
χ412-2-2-2-222200-2-22002-22-220022−2−200002-20000002−2−22−22-22−2−22200000000002−2000
χ422-2-2-2-222200-2-22002-22-220022−2−20000-220000002−2−22−222-222−2−20000000000−22000
χ432-2-2-2-222200-2-22002-22-2200−2−22200002-2000000−222−22−2-2222−2−20000000000−22000
χ442-2-2-2-222200-2-22002-22-2200−2−2220000-22000000−222−22−22-2−2−22200000000002−2000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ4644-44-44-4-4004-4-400400000000000000000000000022−22−2222000000000000000000000
χ4744-44-44-4-4004-4-4004000000000000000000000000−222222−22000000000000000000000
χ4844-44-44-4-400-44400-44-4-44000000000000000000000000000000000000000000000
χ4944-44-44-4-400-44400-4-444-4000000000000000000000000000000000000000000000
χ5044-4-44-4-444-40004-400000000000000000000000000000002i2−2i22i2−2i2000000000000000
χ5144-4-44-4-444-40004-40000000000000000000000000000000−2i22i2−2i22i2000000000000000
χ5244-4-44-4-44-44000-4400000004i−4i4i−4i000000000000000000000000000000000000000
χ5344-4-44-4-44-44000-440000000−4i4i−4i4i000000000000000000000000000000000000000
χ544-444-4-4-44000000000000002i2−2i2−2i22i2000000000022−22000000002i−2i−2i2i000000000000000
χ554-444-4-4-44000000000000002i2−2i2−2i22i20000000000−222200000000−2i2i2i−2i000000000000000
χ564-444-4-4-4400000000000000−2i22i22i2−2i2000000000022−2200000000−2i2i2i−2i000000000000000
χ574-444-4-4-4400000000000000−2i22i22i2−2i20000000000−2222000000002i−2i−2i2i000000000000000
χ584-44-444-4-444-44-4-4-440000-440000000000000000000000000000000000000000000
χ594-4-444-44-44-4000-4400000000000000000004i−4i00000000000000000000000000000
χ604-4-444-44-44-4000-440000000000000000000−4i4i00000000000000000000000000000
χ614-4-444-44-4-440004-4000000000000000000000000000000000000000000000002i2−2i20
χ624-4-444-44-4-440004-400000000000000000000000000000000000000000000000−2i22i20
χ634-4-4-4-44440044-400-40000002222−22−22000000000000−22220000000000000000000000000
χ644-4-4-4-44440044-400-4000000−22−22222200000000000022−220000000000000000000000000
χ65888-8-8-88-8000000000000000000000000000000000000000000000000000000000

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