Finite Group Databasebeta

← Group #296242

Character table — Group #296242

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65
size11111111222222224444444488888888888888888888888888888161616161616161616163232
order12222222444444444444444422444444444448888888888888888444444888844
χ111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111
χ5111111111111111111111111-1-11-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1
χ6111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111
χ7111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111111111111111-1-11-1-1-1-1111-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11-1-1-1-1111-1-11-1
χ101111111111111111-1-11-1-1-1-1111-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111-1-1-1-11-1-111-11
χ111111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11-1111-1-1-111-11
χ121111111111111111-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111-1111-111-1-11-1
χ131111111111111111-1-11-1-1-1-11-1-1-1111111-1-1111111-1-1-1-1-1-1-1-11111-11-1-11-111-1-1-11
χ141111111111111111-1-11-1-1-1-11-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-11-1-11-1-1-1111-1
χ151111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1111-11-1-1111-1
χ161111111111111111-1-11-1-1-1-11-1-1-111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1111-1111-1-1-11
χ172222222222-2-222-2-222-222-2-2-200-200000022-2-2000000000000000000002-2000000
χ182222222222-2-222-2-222-222-2-2-200-2000000-2-22200000000000000000000-22000000
χ192222222222-2-222-2-2-2-2-2-2-222-2002000000222200000000000000000000-2-2000000
χ202222222222-2-222-2-2-2-2-2-2-222-2002000000-2-2-2-20000000000000000000022000000
χ2122222222-2-222-2-22222-2-2-2-2-2-2222-2-2000000000000000000000000-220000000000
χ2222222222-2-222-2-22222-2-2-2-2-2-2-2-22220000000000000000000000002-20000000000
χ2322222222-2-222-2-222-2-2-22222-222-222000000000000000000000000-2-20000000000
χ2422222222-2-222-2-222-2-2-22222-2-2-2-2-2-2000000000000000000000000220000000000
χ2522222222-2-2-2-2-2-2-2-2222-2-222200-20022-2-200000000000000000000002-200000000
χ2622222222-2-2-2-2-2-2-2-2222-2-222200-200-2-2220000000000000000000000-2200000000
χ2722222222-2-2-2-2-2-2-2-2-2-2222-2-220020022-2-20000000000000000000000-2200000000
χ2822222222-2-2-2-2-2-2-2-2-2-2222-2-2200200-2-22200000000000000000000002-200000000
χ292-2-2222-2-22-22-22-22-200-200002000002i−2i2i−2i0000000022-2-200000000000000002i−2i00
χ302-2-2222-2-22-22-22-22-200-200002000002i−2i2i−2i00000000-2-2220000000000000000−2i2i00
χ312-2-2222-2-22-22-22-22-200-20000200000−2i2i−2i2i0000000022-2-20000000000000000−2i2i00
χ322-2-2222-2-22-22-22-22-200-20000200000−2i2i−2i2i00000000-2-22200000000000000002i−2i00
χ332-2-2222-2-2-22-22-22-2200-200002000002i−2i−2i2i000022-2-20000000000000000002i−2i0000
χ342-2-2222-2-2-22-22-22-2200-200002000002i−2i−2i2i0000-2-222000000000000000000−2i2i0000
χ352-2-2222-2-2-22-22-22-2200-20000200000−2i2i2i−2i000022-2-2000000000000000000−2i2i0000
χ362-2-2222-2-2-22-22-22-2200-20000200000−2i2i2i−2i0000-2-2220000000000000000002i−2i0000
χ372-2-2-2-222200-2-200220002-22-202-202-2000000002−22−22−22−222−2−222−2−2000000000000
χ382-2-2-2-222200-2-200220002-22-202-202-200000000−22−22−22−22−2−222−2−222000000000000
χ392-2-2-2-222200-2-200220002-22-20-220-22000000002−22−22−22−2−2−222−2−222000000000000
χ402-2-2-2-222200-2-200220002-22-20-220-2200000000−22−22−22−2222−2−222−2−2000000000000
χ412-2-2-2-222200-2-20022000-22-2202-20-22000000002−22−2−22−2222−2−2−2−222000000000000
χ422-2-2-2-222200-2-20022000-22-2202-20-2200000000−22−222−22−2−2−22222−2−2000000000000
χ432-2-2-2-222200-2-20022000-22-220-2202-2000000002−22−2−22−22−2−22222−2−2000000000000
χ442-2-2-2-222200-2-20022000-22-220-2202-200000000−22−222−22−222−2−2−2−222000000000000
χ45444-4-44-4-4004-400-4400000000000000000000022−22−2222000000000000000000000000
χ46444-4-44-4-4004-400-44000000000000000000000−222222−22000000000000000000000000
χ47444-4-44-4-400-44004-4000000000000000000000000022−22−222200000000000000000000
χ48444-4-44-4-400-44004-40000000000000000000000000−222222−2200000000000000000000
χ4944-44-4-44-44400-4-400000000000000000004-4000000000000000000000000000000
χ5044-44-4-44-44400-4-40000000000000000000-44000000000000000000000000000000
χ5144-44-4-44-4-4-400440000000000000000000004i−4i0000000000000000000000000000
χ5244-44-4-44-4-4-40044000000000000000000000−4i4i0000000000000000000000000000
χ5344-4-44-4-44000000004-40000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ5444-4-44-4-44000000004-4000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ5544-4-44-4-4400000000-440000000000000000000000000002i−2i2i−2i−2i2i−2i2i000000000000
χ5644-4-44-4-4400000000-44000000000000000000000000000−2i2i−2i2i2i−2i2i−2i000000000000
χ574-444-4-4-444-400-44000000000000000000000000000000000002i2−2i2−2i22i2000000000000
χ584-444-4-4-444-400-4400000000000000000000000000000000000−2i22i22i2−2i2000000000000
χ594-444-4-4-44-44004-400000000000000000000000000000002i2−2i2−2i22i20000000000000000
χ604-444-4-4-44-44004-40000000000000000000000000000000−2i22i22i2−2i20000000000000000
χ614-4-4444-4-44-4-444-4-440040000-400000000000000000000000000000000000000000
χ624-4-4444-4-4-444-4-444-40040000-400000000000000000000000000000000000000000
χ634-4-4-4-4444004400-4-40004-4-44000000000000000000000000000000000000000000
χ644-4-4-4-4444004400-4-4000-444-4000000000000000000000000000000000000000000
χ658-88-88-88-8000000000000000000000000000000000000000000000000000000000

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