Finite Group Databasebeta

← Group #346765

Character table — Group #346765

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size111111112222222244448888888888888888888888888888888888816161616161616163232
order12222222444444444444222444444444444444444444444888888888888888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1
χ41111111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111-1-11-1-1-1-11111-1-1-1-11-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ6111111111111111111111-1-11-1-1-1-11111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ7111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111
χ8111111111111111111111-1-11-1-1-1-1-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111-1-111-111-111-1-111-1-11111-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ101111111111111111-1-111-111-111-1-111-1-11111-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ111111111111111111-1-111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-111-11
χ121111111111111111-1-111-111-111-1-1-1-111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-11111-1-11-1
χ131111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11111-1-1-11
χ141111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111-1
χ151111111111111111-1-111-1-1-1-1-1-111-1-1111111-111-1-111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ161111111111111111-1-111-1-1-1-1-1-111-1-1111111-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ172222222222-2-222-2-222-2-2200-2000022-2-20000-200-2-2220000000000000000000000
χ182222222222-2-222-2-222-2-2200-20000-2-2220000-20022-2-20000000000000000000000
χ192222222222-2-222-2-2-2-2-2-2-2002000022220000200-2-2-2-20000000000000000000000
χ202222222222-2-222-2-2-2-2-2-2-20020000-2-2-2-2000020022220000000000000000000000
χ2122222222-2-222-2-22222-2-2-222-2-2-222000000002-2-200000000000000000000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-222-2-20000000022200000000000000000000000000
χ2322222222-2-222-2-222-2-2-2-22222-2-2-2-200000000-22200000000000000000000000000
χ2422222222-2-222-2-222-2-2-2-22-2-22222200000000-2-2-200000000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-20020000000022-2-2-200000022-2-2000000000000000000
χ2622222222-2-2-2-2-2-2-2-22222-200200000000-2-222-2000000-2-222000000000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-222200-20000000022-2-22000000-2-222000000000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-222200-200000000-2-222200000022-2-2000000000000000000
χ292-2-2-2-22222-22-22-22-2002-20000002-2002-22-22-202-2002-20000000000000000000000
χ302-2-2-2-22222-22-22-22-2002-20000002-200-22-22-2202-200-220000000000000000000000
χ312-2-2-2-22222-22-22-22-2002-2000000-22002-2-22-220-22002-20000000000000000000000
χ322-2-2-2-22222-22-22-22-2002-2000000-2200-222-22-20-2200-220000000000000000000000
χ332-2-2-2-22222-2-222-2-2200-2202-202-200002-2000000000-222-22-2000000000000000000
χ342-2-2-2-22222-2-222-2-2200-2202-202-20000-220000000002-2-22-22000000000000000000
χ352-2-2-2-22222-2-222-2-2200-220-220-2200002-2000000000-22-22-22000000000000000000
χ362-2-2-2-22222-2-222-2-2200-220-220-220000-220000000002-22-22-2000000000000000000
χ372-2-2-2-2222-222-2-222-200-220000002-22-20000000-222-2002-2-22000000000000000000
χ382-2-2-2-2222-222-2-222-200-220000002-2-220000000-22-2200-222-2000000000000000000
χ392-2-2-2-2222-222-2-222-200-22000000-222-200000002-22-200-222-2000000000000000000
χ402-2-2-2-2222-222-2-222-200-22000000-22-2200000002-2-22002-2-22000000000000000000
χ412-2-2-2-2222-22-22-22-22002-202-20-22002-200-222-2000-22000000000000000000000000
χ422-2-2-2-2222-22-22-22-22002-202-20-2200-22002-2-220002-2000000000000000000000000
χ432-2-2-2-2222-22-22-22-22002-20-2202-2002-2002-2-22000-22000000000000000000000000
χ442-2-2-2-2222-22-22-22-22002-20-2202-200-2200-222-20002-2000000000000000000000000
χ45444-4-44-4-4004-400-440000000000000000000000000000000000000000022−22000000
χ46444-4-44-4-4004-400-4400000000000000000000000000000000000000000−2222000000
χ47444-4-44-4-400-44004-400000000000000000000000000000000000000022−2200000000
χ48444-4-44-4-400-44004-4000000000000000000000000000000000000000−222200000000
χ4944-44-4-44-44-400-4400000000000000000000000000000000000002222−22−220000000000
χ5044-44-4-44-44-400-440000000000000000000000000000000000000−22−2222220000000000
χ5144-44-4-44-4-44004-40000000000000000000000000000000002222−22−2200000000000000
χ5244-44-4-44-4-44004-4000000000000000000000000000000000−22−22222200000000000000
χ534-444-4-4-44000000004i−4i000000000000000000000000000002-22-22i−2i2i−2i0000000000
χ544-444-4-4-44000000004i−4i00000000000000000000000000000-22-22−2i2i−2i2i0000000000
χ554-444-4-4-4400000000−4i4i000000000000000000000000000002-22-2−2i2i−2i2i0000000000
χ564-444-4-4-4400000000−4i4i00000000000000000000000000000-22-222i−2i2i−2i0000000000
χ574-44-44-44-44400-4-400000000000000000000000000000000000000000000022−220000
χ584-44-44-44-44400-4-4000000000000000000000000000000000000000000000−22220000
χ594-44-44-44-4-4-40044000000000000000000000000000000000000000000000002i2−2i200
χ604-44-44-44-4-4-4004400000000000000000000000000000000000000000000000−2i22i200
χ614-4-4444-4-4004400-4-4000000000000000000000000000000022−22−222200000000000000
χ624-4-4444-4-4004400-4-40000000000000000000000000000000−222222−2200000000000000
χ634-4-4444-4-400-4-40044000000000000000000000000000000000002i2−2i2−2i22i20000000000
χ644-4-4444-4-400-4-4004400000000000000000000000000000000000−2i22i22i2−2i20000000000
χ6588-8-88-8-88000000000000000000000000000000000000000000000000000000000

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