Finite Group Databasebeta

← Group #14305950

Character table — Group #14305950

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222244444444445555888888888888888888888810101010101010101010202020202020202020202020202020202020202020202020202020202020242448484848120120120120120120
order1222344666121212124451010101212121222221520202020202030303060606060606060606060606044666612121212448888888812121212242424242424242424242424242424244420202020444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i111111-1-1ii−i−i
χ6111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-111−i−iii
χ7111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii111111-1-1−i−iii
χ8111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-111ii−i−i
χ911111111111111-1-11111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-111-1-11-11-11-1
χ1011111111111111-1-11111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-111-11-11-11
χ1111111111111111-1-11111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111-111-1-11-1-11-11
χ1211111111111111-1-11111-1-1-1-111111-1-1-1-1111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-111-111-11-1
χ1311111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii1-111-1-1-11i−i−ii
χ1411111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111ii−i−i−i−iii1111iiii−i−i−i−i−i−i−i−iiiii-11-1-1111-1−iii−i
χ1511111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i1-111-1-1-11−iii−i
χ1611111111111111-1-11111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111−i−iiiii−i−i1111−i−i−i−iiiiiiiii−i−i−i−i-11-1-1111-1i−i−ii
χ1722222-2-2222-2-2-2-22-2222222-2-22222222-2-2-2-2222-2-2-2-22222-2-2-2-2-2-22222-2-2-2-22-20000000022-2-20000000000000000000000000000
χ1822222-2-2222-2-2-2-22-2222222-2-2-2-2-2-2222-2-2-2-2222-2-2-2-22222-2-2-2-222-2-2-2-22222-2200000000-2-2220000000000000000000000000000
χ1922222-2-2222-2-2-2-2-222222-2-22222222-2-222-2-2222-2-2-2-2-2-2-2-22222-2-22222-2-2-2-2-2200000000-2-2220000000000000000000000000000
χ2022222-2-2222-2-2-2-2-222222-2-222-2-2-2-22-2-222-2-2222-2-2-2-2-2-2-2-2222222-2-2-2-222222-20000000022-2-20000000000000000000000000000
χ212222-122-1-1-1-1-1-1-1222222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ222222-122-1-1-1-1-1-1-1222222-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-11111111111111111000000000000
χ232222-122-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-22i2i2i2i−2i−2i−2i−2i1111−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ242222-122-1-1-1-1-1-1-1222222-1-1-1-1-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-2−2i−2i−2i−2i2i2i2i2i1111iiiiiiii−i−i−i−i−i−i−i−i000000000000
χ252222-122-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-222-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-222-2-222-2-21111-1-1-1-11111-1-1-1-11111000000000000
χ262222-122-1-1-1-1-1-1-1-2-2222211112222-1-2-2-2-222-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-2-2-222-2-22211111111-1-1-1-11111-1-1-1-1000000000000
χ272222-122-1-1-1-1-1-1-1-2-222221111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-2-211111111222i2i−2i−2i−2i−2i2i2i-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ282222-122-1-1-1-1-1-1-1-2-222221111-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-2-21111111122−2i−2i2i2i2i2i−2i−2i-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000000000
χ292222-1-2-2-1-1-111112-22222-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-111112-200000000-1-11133−3−333−3−333−3−333−3−3000000000000
χ302222-1-2-2-1-1-111112-22222-1-1112222-122-2-2-2-2-1-1-11111-1-1-1-11111-2-2-1-1-1-111112-200000000-1-111−3−333−3−333−3−333−3−333000000000000
χ312222-1-2-2-1-1-111112-22222-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111221111-1-1-1-1-220000000011-1-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ322222-1-2-2-1-1-111112-22222-1-111-2-2-2-2-122-2-2-2-2-1-1-11111-1-1-1-11111221111-1-1-1-1-220000000011-1-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ332222-1-2-2-1-1-11111-22222211-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2-1-1-1-11111-220000000011-1-133−3−3−3−33333−3−3−3−333000000000000
χ342222-1-2-2-1-1-11111-22222211-1-12222-1-2-222-2-2-1-1-111111111-1-1-1-1-2-2-1-1-1-11111-220000000011-1-1−3−33333−3−3−3−33333−3−3000000000000
χ352222-1-2-2-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-1221111-1-1-1-12-200000000-1-111−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ362222-1-2-2-1-1-11111-22222211-1-1-2-2-2-2-1-2-222-2-2-1-1-111111111-1-1-1-1221111-1-1-1-12-200000000-1-111i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ372-2-2222-22-2-222-2-2002-2-22000022-2-2200002-22-2-222-2-2000000002-222-2-222-2-200002i−2i002i−2i000000002i−2i2i−2i00002i−2i2i−2i000000000000
χ382-2-2222-22-2-222-2-2002-2-22000022-2-2200002-22-2-222-2-2000000002-222-2-222-2-20000−2i2i00−2i2i00000000−2i2i−2i2i0000−2i2i−2i2i000000000000
χ392-2-2222-22-2-222-2-2002-2-220000-2-222200002-22-2-222-2-200000000-22-2-222-2-22200002-200-22000000002-22-20000-22-22000000000000
χ402-2-2222-22-2-222-2-2002-2-220000-2-222200002-22-2-222-2-200000000-22-2-222-2-2220000-22002-200000000-22-2200002-22-2000000000000
χ412-2-222-222-2-2-2-222002-2-22000022-2-220000-222-2-2-2-22200000000-2222-2-2-2-222002i−2i002i−2i0000002i−2i2i−2i00002i−2i2i−2i0000000000000000
χ422-2-222-222-2-2-2-222002-2-22000022-2-220000-222-2-2-2-22200000000-2222-2-2-2-22200−2i2i00−2i2i000000−2i2i−2i2i0000−2i2i−2i2i0000000000000000
χ432-2-222-222-2-2-2-222002-2-220000-2-22220000-222-2-2-2-222000000002-2-2-22222-2-2002-200-220000002-22-20000-22-220000000000000000
χ442-2-222-222-2-2-2-222002-2-220000-2-22220000-222-2-2-2-222000000002-2-2-22222-2-200-22002-2000000-22-2200002-22-20000000000000000
χ452-2-22-12-2-111-1-111002-2-223−33−322-2-2-100002-2-111-1-11133−3−333−3−32-2-1-111-1-11100002i−2i002i−2i3−33−3−i3i3i3−i3−ii−ii−i3i3i3−i3−ii−ii000000000000
χ462-2-22-12-2-111-1-111002-2-223−33−322-2-2-100002-2-111-1-11133−3−333−3−32-2-1-111-1-1110000−2i2i00−2i2i3−33−3i3−i3−i3i3i−ii−ii3−i3−i3i3i−ii−i000000000000
χ472-2-22-12-2-111-1-111002-2-223−33−3-2-222-100002-2-111-1-11133−3−333−3−3-2211-1-111-1-100002-200-22−33−33−333−3-11-113−3−331-11-1000000000000
χ482-2-22-12-2-111-1-111002-2-223−33−3-2-222-100002-2-111-1-11133−3−333−3−3-2211-1-111-1-10000-22002-2−33−333−3−331-11-1−333−3-11-11000000000000
χ492-2-22-12-2-111-1-111002-2-22−33−3322-2-2-100002-2-111-1-111−3−333−3−3332-2-1-111-1-11100002i−2i002i−2i−33−33i3−i3−i3i3−ii−iii3−i3−i3i3−ii−ii000000000000
χ502-2-22-12-2-111-1-111002-2-22−33−3322-2-2-100002-2-111-1-111−3−333−3−3332-2-1-111-1-1110000−2i2i00−2i2i−33−33−i3i3i3−i3i−ii−i−i3i3i3−i3i−ii−i000000000000
χ512-2-22-12-2-111-1-111002-2-22−33−33-2-222-100002-2-111-1-111−3−333−3−333-2211-1-111-1-100002-200-223−33−33−3−33-11-11−333−31-11-1000000000000
χ522-2-22-12-2-111-1-111002-2-22−33−33-2-222-100002-2-111-1-111−3−333−3−333-2211-1-111-1-10000-22002-23−33−3−333−31-11-13−3−33-11-11000000000000
χ532-2-22-1-22-11111-1-1002-2-223−3−3322-2-2-10000-22-11111-1-133−3−3−3−333-22-1-11111-1-1002i−2i002i−2i003−3−33−ii−iii3−i3−i3i3−ii−iii3−i3−i3i3000000000000
χ542-2-22-1-22-11111-1-1002-2-223−3−3322-2-2-10000-22-11111-1-133−3−3−3−333-22-1-11111-1-100−2i2i00−2i2i003−3−33i−ii−i−i3i3i3−i3i−ii−i−i3i3i3−i3000000000000
χ552-2-22-1-22-11111-1-1002-2-223−3−33-2-222-10000-22-11111-1-133−3−3−3−3332-211-1-1-1-111002-200-2200−333−3-11-113−3−331-11-1−333−3000000000000
χ562-2-22-1-22-11111-1-1002-2-223−3−33-2-222-10000-22-11111-1-133−3−3−3−3332-211-1-1-1-11100-22002-200−333−31-11-1−333−3-11-113−3−33000000000000
χ572-2-22-1-22-11111-1-1002-2-22−333−322-2-2-10000-22-11111-1-1−3−33333−3−3-22-1-11111-1-1002i−2i002i−2i00−333−3−ii−ii−i3i3i3−i3−ii−ii−i3i3i3−i3000000000000
χ582-2-22-1-22-11111-1-1002-2-22−333−322-2-2-10000-22-11111-1-1−3−33333−3−3-22-1-11111-1-100−2i2i00−2i2i00−333−3i−ii−ii3−i3−i3i3i−ii−ii3−i3−i3i3000000000000
χ592-2-22-1-22-11111-1-1002-2-22−333−3-2-222-10000-22-11111-1-1−3−33333−3−32-211-1-1-1-111002-200-22003−3−33-11-11−333−31-11-13−3−33000000000000
χ602-2-22-1-22-11111-1-1002-2-22−333−3-2-222-10000-22-11111-1-1−3−33333−3−32-211-1-1-1-11100-22002-2003−3−331-11-13−3−33-11-11−333−3000000000000
χ614444444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000044-1-1-1-1000000
χ624444444444444444-1-1-1-144440000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000000000000000000000-4-41111000000
χ6344444444444444-4-4-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000004-4-1-111000000
χ6444444444444444-4-4-1-1-1-1-4-4-4-40000-11111-1-1-1-1-1-1-1-1-1111111110000000000000000000000000000000000000000-4411-1-1000000
χ6544444-4-4444-4-4-4-44-4-1-1-1-144-4-40000-1-1-11111-1-1-11111-1-1-1-11111000000000000000000000000000000000000000000−55−55000000
χ6644444-4-4444-4-4-4-44-4-1-1-1-144-4-40000-1-1-11111-1-1-11111-1-1-1-111110000000000000000000000000000000000000000005−55−5000000
χ6744444-4-4444-4-4-4-4-44-1-1-1-1-4-4440000-111-1-111-1-1-111111111-1-1-1-1000000000000000000000000000000000000000000−555−5000000
χ6844444-4-4444-4-4-4-4-44-1-1-1-1-4-4440000-111-1-111-1-1-111111111-1-1-1-10000000000000000000000000000000000000000005−5−55000000
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χ998-8-88-48-8-444-4-44400-222-243−4343−43000010000-221-1-111-1-1−3−333−3−3330000000000000000000000000000000000000000000000000000
χ1008-8-88-48-8-444-4-44400-222-2−4343−4343000010000-221-1-111-1-133−3−333−3−30000000000000000000000000000000000000000000000000000
χ1018-8-88-4-88-44444-4-400-222-243−43−43430000100002-21-1-1-1-111−3−33333−3−30000000000000000000000000000000000000000000000000000
χ1028-8-88-4-88-44444-4-400-222-2−434343−430000100002-21-1-1-1-11133−3−3−3−3330000000000000000000000000000000000000000000000000000

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