Finite Group Databasebeta

← Group #270360

Character table — Group #270360

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444444888888888888888888888888161616161616161616161616161632
order12222222444444444444448888444444444488888888888888444444448888882
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111-1-111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111-1-111111111-1-1111111-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1
χ411111111111111111111111111-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1111
χ51111111111111111111111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-1111-1-1-111-1-1-1-111-1
χ61111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11-1-1111-1-111-1-1-1-11
χ71111111111111111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-11
χ81111111111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-111111-1-1-1-11111-1
χ91111111111111111-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11
χ101111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11-1-1-11111111111-1
χ111111111111111111-1-1-1-1111111-1-111-1-111111111-1-1-1-1111111-1-1-11-1-1-1-111-1-111-1
χ121111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-111-11111-1-1-1-1-1-11
χ131111111111111111-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-11111111-111-1-111-1-1-1-1-1
χ141111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-111111-1-11-1-111-1-1-1-1111
χ151111111111111111-1-1-1-111-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-111-1-1-1-111111
χ161111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1111-1-1111111-1-1-1
χ17222222222-2-2222-2-22222-2-200002200-2-2000022000000-2-20000-200000000000000
χ18222222222-2-2222-2-22222-2-20000-2-200-2-20000-2-2000000220000200000000000000
χ19222222222-2-2222-2-2-2-2-2-2-2-200002200220000-2-2000000220000-200000000000000
χ20222222222-2-2222-2-2-2-2-2-2-2-20000-2-20022000022000000-2-20000200000000000000
χ2122222222-222-2-2-2220000-2-22222002200-2-22200-2-20000000000000-200000000000
χ2222222222-222-2-2-2220000-2-2222200-2-20022-2-200-2-20000000000000200000000000
χ2322222222-222-2-2-2220000-2-2-2-2-2-2002200-2-2-2-200220000000000000200000000000
χ2422222222-222-2-2-2220000-2-2-2-2-2-200-2-200222200220000000000000-200000000000
χ252-22-222-2-2-200-2220022-2-20022−2−22i−2i000000002i−2i2−222−2−200i2i2−i2−i20000000000i2−i2000
χ262-22-222-2-2-200-2220022-2-20022−2−2−2i2i00000000−2i2i2−222−2−200−i2−i2i2i20000000000−i2i2000
χ272-22-222-2-2-200-2220022-2-200−2−2222i−2i000000002i−2i−22−2−22200−i2−i2i2i20000000000−i2i2000
χ282-22-222-2-2-200-2220022-2-200−2−222−2i2i00000000−2i2i−22−2−22200i2i2−i2−i20000000000i2−i2000
χ292-22-222-2-2-200-22200-2-2220022−2−22i−2i00000000−2i2i2−2−2−22200−i2−i2i2i20000000000i2−i2000
χ302-22-222-2-2-200-22200-2-2220022−2−2−2i2i000000002i−2i2−2−2−22200i2i2−i2−i20000000000−i2i2000
χ312-22-222-2-2-200-22200-2-22200−2−2222i−2i00000000−2i2i−2222−2−200i2i2−i2−i20000000000−i2i2000
χ322-22-222-2-2-200-22200-2-22200−2−222−2i2i000000002i−2i−2222−2−200−i2−i2i2i20000000000i2−i2000
χ332-2-2-22-222222-22-2-2-22-22-22-2000000002-200000000000000000002i−2i0000000002i−2i0
χ342-2-2-22-222222-22-2-2-22-22-22-2000000002-20000000000000000000−2i2i000000000−2i2i0
χ352-2-2-22-222222-22-2-2-2-22-222-200000000-2200000000000000000002i−2i000000000−2i2i0
χ362-2-2-22-222222-22-2-2-2-22-222-200000000-220000000000000000000−2i2i0000000002i−2i0
χ372-2-2-22-2222-2-2-22-2222-22-2-220000002-2-222-200000000000000000000002-20000000
χ382-2-2-22-2222-2-2-22-2222-22-2-22000000-22-22-220000000000000000000000-220000000
χ392-2-2-22-2222-2-2-22-222-22-22-220000002-22-22-20000000000000000000000-220000000
χ402-2-2-22-2222-2-2-22-222-22-22-22000000-222-2-2200000000000000000000002-20000000
χ412-2-2-22-222-2-2-22-222200002-20000002-200-220000002-22-200000000002-2000000000
χ422-2-2-22-222-2-2-22-222200002-20000002-200-22000000-22-220000000000-22000000000
χ432-2-2-22-222-2-2-22-222200002-2000000-22002-20000002-22-20000000000-22000000000
χ442-2-2-22-222-2-2-22-222200002-2000000-22002-2000000-22-2200000000002-2000000000
χ4544444444-4-4-4-4-4-4-4-40000440000000000000000000000000000000000000000000
χ46444-4-4-4-44000000000000002i2−2i22i2−2i20000000000000000002i2−2i22-22-2000000000000000
χ47444-4-4-4-44000000000000002i2−2i22i2−2i2000000000000000000−2i22i2-22-22000000000000000
χ48444-4-4-4-4400000000000000−2i22i2−2i22i20000000000000000002i2−2i2-22-22000000000000000
χ49444-4-4-4-4400000000000000−2i22i2−2i22i2000000000000000000−2i22i22-22-2000000000000000
χ5044-444-4-4-4400-4-440000000000000000000000000022−22−2222000000000000000000000
χ5144-444-4-4-4400-4-4400000000000000000000000000−222222−22000000000000000000000
χ5244-444-4-4-4-40044-4004-4-44000000000000000000000000000000000000000000000
χ5344-444-4-4-4-40044-400-444-4000000000000000000000000000000000000000000000
χ5444-4-4-444-404-40004-40000000000000000000000000000000000000000002i2−2i200000
χ5544-4-4-444-404-40004-4000000000000000000000000000000000000000000−2i22i200000
χ5644-4-4-444-40-44000-440000000000000000004i−4i00000000000000000000000000000
χ5744-4-4-444-40-44000-44000000000000000000−4i4i00000000000000000000000000000
χ584-444-4-44-404-4000-440000004i−4i−4i4i000000000000000000000000000000000000000
χ594-444-4-44-404-4000-44000000−4i4i4i−4i000000000000000000000000000000000000000
χ604-444-4-44-40-440004-40000000000000000000000000000002i2−2i2−2i22i2000000000000000
χ614-444-4-44-40-440004-4000000000000000000000000000000−2i22i22i2−2i2000000000000000
χ624-44-444-4-44004-4-4000000002222−22−22000000000000−22220000000000000000000000000
χ634-44-444-4-44004-4-400000000−22−22222200000000000022−220000000000000000000000000
χ644-4-4-44-444-4444-44-4-40000-440000000000000000000000000000000000000000000
χ658-8-88-88-88000000000000000000000000000000000000000000000000000000000

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