Finite Group Databasebeta

← Group #283127

Character table — Group #283127

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444442222448888444444444488888888888888444444448888884
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-1-1-111-1-1111111111111111-1-1-1-1-1-1-111-1-1-1-1-1
χ311111111111111111111111111-1-111111111-1-1-1-1111111-1-1-1-1-1111-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111
χ51111111111111111111111-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1111-111-1-1-1-111-1-1-1
χ61111111111111111111111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-11-1-111-1-1-1-1111
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-1-1-111-1-1111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1111111111-1-1-1
χ91111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11-1-1111-1-111-1-1-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-111111111-1
χ111111111111111111-1-1-1-1111111-1-11111-1-111111111-1-1-1-11111-1-1-11-1-1-1-1-1-11111-1
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
χ131111111111111111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-1-1-11111-1-1-1-111-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-11
χ151111111111111111-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-11
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-111111-1-111-1-111-1
χ17222222222-2-222-2-222222-2-20000220000-2-20022-2-20000000000-200000000000000
χ18222222222-2-222-2-222222-2-20000-2-20000-2-200-2-2220000000000200000000000000
χ19222222222-2-222-2-22-2-2-2-2-2-200002200002200-2-2220000000000-200000000000000
χ20222222222-2-222-2-22-2-2-2-2-2-20000-2-20000220022-2-20000000000200000000000000
χ2122222222-222-2-222-20000-2-222220022-2-200-2-20000-2-200000000000200000000000
χ2222222222-222-2-222-20000-2-2222200-2-22200220000-2-200000000000-200000000000
χ2322222222-222-2-222-20000-2-2-2-2-2-20022-2-2002200002200000000000-200000000000
χ2422222222-222-2-222-20000-2-2-2-2-2-200-2-22200-2-200002200000000000200000000000
χ252222-2-2-2-22002-200-222-2-20022−2−22-2000000002-2002−222−2−222−2−2000000002−200000
χ262222-2-2-2-22002-200-222-2-20022−2−2-2200000000-22002−222−2−2−2−22200000000−2200000
χ272222-2-2-2-22002-200-222-2-200−2−2222-2000000002-200−22−2−222−2−22200000000−2200000
χ282222-2-2-2-22002-200-222-2-200−2−222-2200000000-2200−22−2−22222−2−2000000002−200000
χ292222-2-2-2-22002-200-2-2-2220022−2−22-200000000-22002−2−2−222−2−222000000002−200000
χ302222-2-2-2-22002-200-2-2-2220022−2−2-22000000002-2002−2−2−22222−2−200000000−2200000
χ312222-2-2-2-22002-200-2-2-22200−2−2222-200000000-2200−2222−2−222−2−200000000−2200000
χ322222-2-2-2-22002-200-2-2-22200−2−222-22000000002-200−2222−2−2−2−222000000002−200000
χ332-22-2-2-222222-2-2-2-222-22-22-20000002i−2i2i−2i2-2000000000000000002i−2i000000000000
χ342-22-2-2-222222-2-2-2-222-22-22-2000000−2i2i−2i2i2-200000000000000000−2i2i000000000000
χ352-22-2-2-222222-2-2-2-22-22-222-20000002i−2i2i−2i-2200000000000000000−2i2i000000000000
χ362-22-2-2-222222-2-2-2-22-22-222-2000000−2i2i−2i2i-22000000000000000002i−2i000000000000
χ372-22-2-2-2222-2-2-2-22222-22-2-220000000000-22000000000000000000002-200002-2000
χ382-22-2-2-2222-2-2-2-22222-22-2-220000000000-2200000000000000000000-220000-22000
χ392-22-2-2-2222-2-2-2-2222-22-22-2200000000002-2000000000000000000002-20000-22000
χ402-22-2-2-2222-2-2-2-2222-22-22-2200000000002-200000000000000000000-2200002-2000
χ412-22-2-2-222-22222-2-2-20000-220000002i−2i−2i2i00000000002i−2i2i−2i00000000002-20000000
χ422-22-2-2-222-22222-2-2-20000-220000002i−2i−2i2i0000000000−2i2i−2i2i0000000000-220000000
χ432-22-2-2-222-22222-2-2-20000-22000000−2i2i2i−2i00000000002i−2i2i−2i0000000000-220000000
χ442-22-2-2-222-22222-2-2-20000-22000000−2i2i2i−2i0000000000−2i2i−2i2i00000000002-20000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ464444-4-4-4-4-400-440040000002222−22−2200000000000000−222200000000000000000000000
χ474444-4-4-4-4-400-44004000000−22−2222220000000000000022−2200000000000000000000000
χ4844-4-44-4-44000000000000002i2−2i22i2−2i200000000000022−220000002i−2i2i−2i000000000000000
χ4944-4-44-4-44000000000000002i2−2i22i2−2i2000000000000−2222000000−2i2i−2i2i000000000000000
χ5044-4-44-4-4400000000000000−2i22i2−2i22i200000000000022−22000000−2i2i−2i2i000000000000000
χ5144-4-44-4-4400000000000000−2i22i2−2i22i2000000000000−22220000002i−2i2i−2i000000000000000
χ5244-4-4-444-404-4004-400000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ5344-4-4-444-404-4004-40000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ5444-4-4-444-40-4400-4400000004i−4i−4i4i000000000000000000000000000000000000000
χ5544-4-4-444-40-4400-440000000−4i4i4i−4i000000000000000000000000000000000000000
χ564-44-444-4-4400-4400-44-4-44000000000000000000000000000000000000000000000
χ574-44-444-4-4400-4400-4-444-4000000000000000000000000000000000000000000000
χ584-44-444-4-4-4004-4004000000000000000000000000002i2−2i2−2i22i20000000000000000000
χ594-44-444-4-4-4004-400400000000000000000000000000−2i22i22i2−2i20000000000000000000
χ604-44-4-4-444-4-4-44444-400004-40000000000000000000000000000000000000000000
χ614-4-444-44-404-400-44000000000000000000000000000000000000000000000002i2−2i20
χ624-4-444-44-404-400-4400000000000000000000000000000000000000000000000−2i22i20
χ634-4-444-44-40-44004-400000000000000000004i−4i00000000000000000000000000000
χ644-4-444-44-40-44004-40000000000000000000−4i4i00000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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