Finite Group Databasebeta

← Group #14513664

Character table — Group #14513664

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100
size11112222222222333344446666666666888888881010101012121212161616161616161616161616161616162424242424242424242424242424242424242424303030304040404040404040120120120120
order1222225510101010101022221010101022101010101010101036666666222210101010151530303030303030303030303030302444101010102020202020202020202020202222666666664444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11-11-1
χ61111-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-1111111-1-11111-1-1-1-1-11-11
χ71111-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11
χ81111-1-1111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111111-11-1
χ922222222222222222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002222-1-1-1-1-1-1-1-10000
χ1022222222222222222222222222222222-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-2111111110000
χ11222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222220000−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000000000000
χ12222222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−5222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52222222220000−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+520000000000000000
χ13222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222220000−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000000000000
χ14222222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+52−1+5222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52222222220000−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−520000000000000000
χ152222-2-2222222222222-2-2-2-2-2-222222222-1-1-1-1111122-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000000022-2-2-1-1-1-111110000
χ162222-2-2222222222222-2-2-2-2-2-222222222-1-1-1-11111-2-222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000-2-2221111-1-1-1-10000
χ172222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-200001−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+520000000000000000
χ182222-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−5222221−521−521+521+52-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−522222-2-2-2-200001−521−521+521+52−1+52−1−52−1+52−1+52−1+52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−520000000000000000
χ192222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521+521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-200001+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−520000000000000000
χ202222-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+5222221+521+521−521−52-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+522222-2-2-2-200001+521+521−521−52−1−52−1+52−1−52−1−52−1−52−1+52−1+52−1+521+521+521+521+521−521−521−521−52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+520000000000000000
χ2122-2-22-222-2-2-2-22222-2-22-22-22-2-2-2-2-2222222-2-222-2-200002-22-2222-2-22-2-222-2-222-2-2000000000000000000000000000000000000
χ2222-2-22-222-2-2-2-22222-2-22-22-22-2-2-2-2-22222-1-111-1-11100002-22-2-1-1-111-111-1-111-1-111000000000000000000000000i3i3−i3−i3i3i3−i3−i30000
χ2322-2-22-222-2-2-2-22222-2-22-22-22-2-2-2-2-22222-1-111-1-11100002-22-2-1-1-111-111-1-111-1-111000000000000000000000000−i3−i3i3i3−i3−i3i3i30000
χ2422-2-22-2−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+521−52−1−521+522-21−521−521+521+52−1+52−1+52−1−52−1−5222-2-222-2-20000−1+521−52−1−521+52−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ140000000000000000
χ2522-2-22-2−1+52−1−521−521−521+521+52−1+52−1−5222-2-2−1+521−52−1−521+522-21−521−521+521+52−1+52−1+52−1−52−1−5222-2-222-2-20000−1+521−52−1−521+52−1+52−1−52−1+521−521−52−1−521+521+52−1+52−1+521−521−52−1−52−1−521+521+520000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ140000000000000000
χ2622-2-22-2−1−52−1+521+521+521−521−52−1−52−1+5222-2-2−1−521+52−1+521−522-21+521+521−521−52−1−52−1−52−1+52−1+5222-2-222-2-20000−1−521+52−1+521−52−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ130000000000000000
χ2722-2-22-2−1−52−1+521+521+521−521−52−1−52−1+5222-2-2−1−521+52−1+521−522-21+521+521−521−52−1−52−1−52−1+52−1+5222-2-222-2-20000−1−521+52−1+521−52−1−52−1+52−1−521+521+52−1+521−521−52−1−52−1−521+521+52−1+52−1+521−521−520000ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ130000000000000000
χ2822-2-2-2222-2-2-2-22222-2-2-22-22-22-2-2-2-2222222-2-2-2-2220000-22-22222-2-22-2-2-2-222-2-222000000000000000000000000000000000000
χ2922-2-2-2222-2-2-2-22222-2-2-22-22-22-2-2-2-22222-1-11111-1-10000-22-22-1-1-111-11111-1-111-1-1000000000000000000000000i3i3−i3−i3−i3−i3i3i30000
χ3022-2-2-2222-2-2-2-22222-2-2-22-22-22-2-2-2-22222-1-11111-1-10000-22-22-1-1-111-11111-1-111-1-1000000000000000000000000−i3−i3i3i3i3i3−i3−i30000
χ3122-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-21−52−1+521+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-22200001−52−1+521+52−1−52−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ140000000000000000
χ3222-2-2-22−1+52−1−521−521−521+521+52−1+52−1−5222-2-21−52−1+521+52−1−52-221−521−521+521+52−1+52−1+52−1−52−1−5222-2-2-2-22200001−52−1+521+52−1−52−1+52−1−52−1+521−521−52−1−521+521+521−521−52−1+52−1+521+521+52−1−52−1−520000−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ140000000000000000
χ3322-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-21+52−1−521−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-22200001+52−1−521−52−1+52−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ130000000000000000
χ3422-2-2-22−1−52−1+521+521+521−521−52−1−52−1+5222-2-21+52−1−521−52−1+52-221+521+521−521−52−1−52−1−52−1+52−1+5222-2-2-2-22200001+52−1−521−52−1+52−1−52−1+52−1−521+521+52−1+521−521−521+521+52−1−52−1−521−521−52−1+52−1+520000ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ13ζ−ζ4+ζ11−ζ14−ζ+ζ4−ζ11+ζ14ζ2+ζ7−ζ8−ζ13−ζ2−ζ7+ζ8+ζ13−ζ+ζ4−ζ11+ζ14ζ−ζ4+ζ11−ζ14−ζ2−ζ7+ζ8+ζ13ζ2+ζ7−ζ8−ζ130000000000000000
χ352-22-200222-22-2-2-22-22-20000002-22-22-22-22-22-20000002-2000022-22-2-22-20000000000000000000000000000002-200002-22-20000
χ362-22-200222-22-2-2-22-22-20000002-22-22-22-22-22-2000000-22000022-22-2-22-2000000000000000000000000000000-220000-22-220000
χ372-22-200222-22-2-2-22-22-20000002-22-22-22-2-11-11i3−i3i3−i3002-20000-1-11-111-11i3−i3i3−i3i3−i3i3−i300000000000000000000002-2i3−i3i3−i3-11-110000
χ382-22-200222-22-2-2-22-22-20000002-22-22-22-2-11-11i3−i3i3−i300-220000-1-11-111-11i3−i3i3−i3i3−i3i3−i30000000000000000000000-22−i3i3−i3i31-11-10000
χ392-22-200222-22-2-2-22-22-20000002-22-22-22-2-11-11−i3i3−i3i3002-20000-1-11-111-11−i3i3−i3i3−i3i3−i3i300000000000000000000002-2−i3i3−i3i3-11-110000
χ402-22-200222-22-2-2-22-22-20000002-22-22-22-2-11-11−i3i3−i3i300-220000-1-11-111-11−i3i3−i3i3−i3i3−i3i30000000000000000000000-22i3−i3i3−i31-11-10000
χ412-2-220022-22-22-2-22-2-22000000-22-222-22-22-2-2200002-200000022-2-22-2-2200000000000000000000000000002-2002-2-2200000000
χ422-2-220022-22-22-2-22-2-22000000-22-222-22-22-2-220000-2200000022-2-22-2-220000000000000000000000000000-2200-222-200000000
χ432-2-220022-22-22-2-22-2-22000000-22-222-22-2-111-1i3−i3−i3i32-2000000-1-111-111-1i3−i3−i3i3i3−i3−i3i3000000000000000000002-200-111-1i3−i3−i3i30000
χ442-2-220022-22-22-2-22-2-22000000-22-222-22-2-111-1i3−i3−i3i3-22000000-1-111-111-1i3−i3−i3i3i3−i3−i3i300000000000000000000-22001-1-11−i3i3i3−i30000
χ452-2-220022-22-22-2-22-2-22000000-22-222-22-2-111-1−i3i3i3−i32-2000000-1-111-111-1−i3i3i3−i3−i3i3i3−i3000000000000000000002-200-111-1−i3i3i3−i30000
χ462-2-220022-22-22-2-22-2-22000000-22-222-22-2-111-1−i3i3i3−i3-22000000-1-111-111-1−i3i3i3−i3−i3i3i3−i300000000000000000000-22001-1-11i3−i3−i3i30000
χ4733333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1000000003333-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-1-1-1-1-10000000011-1-1
χ4833333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-1000000003333-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-111111111-1-1-1-100000000-1-111
χ4933333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-100000000-3-3-3-3-1-1-1-1000000000000000011-1-111111111-1-1-1-1-1-1-1-1111100000000-1-111
χ5033333333333333-1-1-1-13333-1-1-1-1-1-1-1-1-1-100000000-3-3-3-3-1-1-1-10000000000000000-1-111-1-1-1-1-1-1-1-11111111111110000000011-1-1
χ513333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-10000000033-3-3111100000000000000001-1-111111-1-1-1-1-1-1-1-11111-1-111000000001-1-11
χ523333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-10000000033-3-311110000000000000000-111-1-1-1-1-111111111-1-1-1-1-1-11100000000-111-1
χ533333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-100000000-3-333111100000000000000001-1-111111-1-1-1-1-1-1-1-1111111-1-100000000-111-1
χ543333-3-333333333-1-1-1-1-3-3-3-311-1-1-1-1-1-1-1-100000000-3-33311110000000000000000-111-1-1-1-1-111111111-1-1-1-111-1-1000000001-1-11
χ55444444−1+5−1−5−1+5−1+5−1−5−1−5−1+5−1−54444−1+5−1+5−1−5−1−544−1+5−1+5−1−5−1−5−1+5−1+5−1−5−1−5-2-2-2-2-2-2-2-20000−1+5−1+5−1−5−1−51−521+521−521−521−521+521+521+521−521−521−521−521+521+521+521+52000000000000000000000000000000000000
χ56444444−1−5−1+5−1−5−1−5−1+5−1+5−1−5−1+54444−1−5−1−5−1+5−1+544−1−5−1−5−1+5−1+5−1−5−1−5−1+5−1+5-2-2-2-2-2-2-2-20000−1−5−1−5−1+5−1+51+521−521+521+521+521−521−521−521+521+521+521+521−521−521−521−52000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 15 (ζ15 = 1); i = ζ3.