Finite Group Databasebeta

← Group #275331

Character table — Group #275331

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71
size1111111122222222444444444444444444444444888888888888888881616161616161616161616163232
order12222222444444442244444444444444888888884444488888888888844448888888824
χ111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111
χ6111111111111111111111111-1-1-1-1-1-1-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ91111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-1
χ101111111111111111-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11
χ111111111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111-1-111-11
χ121111111111111111-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-11111-1-11111-1-111-1-11-1
χ131111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-111111-1
χ141111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-11
χ151111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1111111-1-1-1-111-1-111-1-111-1-1-11
χ161111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-11111-1-1111111-1-1-1-1-1-111-1-111-1-1111-1
χ172222222222-2-22-2-2222-2-222-2-22222-2-2-2-200000000-222-2-200000000000000000000000000
χ182222222222-2-22-2-2222-2-222-2-2-2-2-2-2222200000000-2-2-22200000000000000000000000000
χ192222222222-2-22-2-22-2-2-2-2-2-2222222-2-2-2-2000000002-2-22200000000000000000000000000
χ202222222222-2-22-2-22-2-2-2-2-2-222-2-2-2-2222200000000222-2-200000000000000000000000000
χ2122222222-2-222-222-222-2-2-2-2220000000022222222-20000-2-2-2-20000000000000000000000
χ2222222222-2-222-222-222-2-2-2-22200000000-2-2-2-2-2-2-2-2-2000022220000000000000000000000
χ2322222222-2-222-222-2-2-2-2-222-2-2000000002222-2-2-2-220000-2-2220000000000000000000000
χ2422222222-2-222-222-2-2-2-2-222-2-200000000-2-2-2-222222000022-2-20000000000000000000000
χ2522222222-2-2-2-2-2-2-2-22222-2-2-2-200000000000000002000000002i2i−2i−2i2i2i−2i−2i00000000000000
χ2622222222-2-2-2-2-2-2-2-22222-2-2-2-20000000000000000200000000−2i−2i2i2i−2i−2i2i2i00000000000000
χ2722222222-2-2-2-2-2-2-2-2-2-22222220000000000000000-2000000002i2i−2i−2i−2i−2i2i2i00000000000000
χ2822222222-2-2-2-2-2-2-2-2-2-22222220000000000000000-200000000−2i−2i2i2i2i2i−2i−2i00000000000000
χ292-2222-2-2-22-22-2-22-22002-200002i2i−2i−2i2i2i−2i−2i0000000000000000000000000002i−2i00002-20000
χ302-2222-2-2-22-22-2-22-22002-200002i2i−2i−2i2i2i−2i−2i000000000000000000000000000−2i2i0000-220000
χ312-2222-2-2-22-22-2-22-22002-20000−2i−2i2i2i−2i−2i2i2i0000000000000000000000000002i−2i0000-220000
χ322-2222-2-2-22-22-2-22-22002-20000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000−2i2i00002-20000
χ332-2222-2-2-22-2-22-2-22200-2200002i2i−2i−2i−2i−2i2i2i00000000000000000000000002i−2i00002-2000000
χ342-2222-2-2-22-2-22-2-22200-2200002i2i−2i−2i−2i−2i2i2i0000000000000000000000000−2i2i0000-22000000
χ352-2222-2-2-22-2-22-2-22200-220000−2i−2i2i2i2i2i−2i−2i00000000000000000000000002i−2i0000-22000000
χ362-2222-2-2-22-2-22-2-22200-220000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000−2i2i00002-2000000
χ372-22-2-22-222200-200-22-2002-2002i−2i2i−2i000022−2−222−2−202i−2i002−22−2i2−i2i2−i2i2−i2i2−i200000000000000
χ382-22-2-22-222200-200-22-2002-2002i−2i2i−2i0000−2−222−2−22202i−2i00−22−22−i2i2−i2i2−i2i2−i2i200000000000000
χ392-22-2-22-222200-200-22-2002-200−2i2i−2i2i000022−2−222−2−20−2i2i002−22−2−i2i2−i2i2−i2i2−i2i200000000000000
χ402-22-2-22-222200-200-22-2002-200−2i2i−2i2i0000−2−222−2−2220−2i2i00−22−22i2−i2i2−i2i2−i2i2−i200000000000000
χ412-22-2-22-222200-200-2-2200-22002i−2i2i−2i000022−2−2−2−2220−2i2i002−2−22i2−i2i2−i2−i2i2−i2i200000000000000
χ422-22-2-22-222200-200-2-2200-22002i−2i2i−2i0000−2−22222−2−20−2i2i00−222−2−i2i2−i2i2i2−i2i2−i200000000000000
χ432-22-2-22-222200-200-2-2200-2200−2i2i−2i2i000022−2−2−2−22202i−2i002−2−22−i2i2−i2i2i2−i2i2−i200000000000000
χ442-22-2-22-222200-200-2-2200-2200−2i2i−2i2i0000−2−22222−2−202i−2i00−222−2i2−i2i2−i2−i2i2−i2i200000000000000
χ452-22-2-22-22-2-20020022-200-220000002-22-222−2−222−2−20002-2−22−222−2−222−2−2200000000000000
χ462-22-2-22-22-2-20020022-200-220000002-22-2−2−222−2−2220002-22−22−2−222−2−222−200000000000000
χ472-22-2-22-22-2-20020022-200-22000000-22-2222−2−222−2−2000-22−22−22−222−2−222−200000000000000
χ482-22-2-22-22-2-20020022-200-22000000-22-22−2−222−2−222000-222−22−22−2−222−2−2200000000000000
χ492-22-2-22-22-2-2002002-22002-20000002-22-222−2−2−2−222000-22−222−22−2−22−222−200000000000000
χ502-22-2-22-22-2-2002002-22002-20000002-22-2−2−22222−2−2000-222−2−22−222−22−2−2200000000000000
χ512-22-2-22-22-2-2002002-22002-2000000-22-2222−2−2−2−2220002-2−222−2−222−22−2−2200000000000000
χ522-22-2-22-22-2-2002002-22002-2000000-22-22−2−22222−2−20002-22−2−222−2−22−222−200000000000000
χ53444-4-4-44-44-400400-4000000004-4-440000000000000000000000000000000000000000000
χ54444-4-4-44-44-400400-400000000-444-40000000000000000000000000000000000000000000
χ55444-4-4-44-4-4400-40040000000000004i−4i−4i4i000000000000000000000000000000000000000
χ56444-4-4-44-4-4400-4004000000000000−4i4i4i−4i000000000000000000000000000000000000000
χ5744-44-44-4-400440-4-4000000000000000004-44-400000000000000000000000000000000000
χ5844-44-44-4-400440-4-400000000000000000-44-4400000000000000000000000000000000000
χ5944-44-44-4-400-4-40440000000000000000000004i−4i4i−4i0000000000000000000000000000000
χ6044-44-44-4-400-4-4044000000000000000000000−4i4i−4i4i0000000000000000000000000000000
χ614-4444-4-4-4-444-444-4-400-44000000000000000000000000000000000000000000000000000
χ624-4444-4-4-4-44-444-44-4004-4000000000000000000000000000000000000000000000000000
χ634-4-44-4-444004-40-44000000000000000000000000000000000000000000000000000022−2200
χ644-4-44-4-444004-40-440000000000000000000000000000000000000000000000000000−222200
χ654-4-44-4-44400-4404-4000000000000000000000000000000000000000000000022−2200000000
χ664-4-44-4-44400-4404-40000000000000000000000000000000000000000000000−222200000000
χ674-4-4-4444-4000000000000004i−4i0000000022−22−22222i2−2i2−2i22i20000000000000000000000000000000
χ684-4-4-4444-4000000000000004i−4i00000000−222222−22−2i22i22i2−2i20000000000000000000000000000000
χ694-4-4-4444-400000000000000−4i4i0000000022−22−2222−2i22i22i2−2i20000000000000000000000000000000
χ704-4-4-4444-400000000000000−4i4i00000000−222222−222i2−2i2−2i22i20000000000000000000000000000000
χ7188-8-88-8-88000000000000000000000000000000000000000000000000000000000000000

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