Finite Group Databasebeta

← Group #14281033

Character table — Group #14281033

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222224444444444444444444444444444444444444444448888888888888888888888888888888888881010101010101010101010101010101020202020202020202020202020202020120120120120120120120120
order122222366666664444445101010101010101212121212121212121212121515303030303030303030303030303020202020202020202020202060606060606060606060606060606060606060606060606044444444121212121212121222446666121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-111
χ71111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−iii
χ81111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiii−i−i
χ911111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111i−ii−ii−ii−i
χ1011111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111−ii−ii−ii−ii
χ1111111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-11-11-1-11-11
χ1211111111111111-1-111-1-111111111-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-11-111-11-1
χ1311111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1i−i−iii−i−ii
χ1411111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1−iii−i−iii−i
χ1511111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-1-11-111-1
χ1611111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-111-11-1-11
χ17222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-211111111111100000000
χ19222222-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122222222-1-1-1-1-1-1-1-1-2-2-2-21111-1-1-1-1111100000000
χ20222222-1-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2-2-2-2-2111111112222-1-1-1-11111-1-1-1-100000000
χ21222222-1-1-1-1-1-1-1-1-2-222-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-22211111111-1-1-1-100000000
χ22222222-1-1-1-1-1-1-1-1-2-222-2-2222222221111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222221111111122-2-2-1-1-1-1-1-1-1-1111100000000
χ23222222-1-1-1-1-1-1-1-1-2-2-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000
χ24222222-1-1-1-1-1-1-1-1-2-2-2-2222222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-2-2221111-1-1-1-1-1-1-1-100000000
χ252222-2-22-2-2-2-22222-2000022-2-2-2-22222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000000002222-2-2-2-20000000022-2-222-2-22222-2-2-2-20000000022-2-2000000000000
χ262222-2-22-2-2-2-22222-2000022-2-2-2-22222-2-2000000002222-2-2-2-2-2-2-2-22222000022-2-20000000000002222-2-2-2-200000000-2-222-2-222-2-2-2-2222200000000-2-222000000000000
χ272222-2-22-2-2-2-2222-22000022-2-2-2-222-2-222000000002222-2-2-2-2-2-2-2-222220000-2-222000000000000-2-2-2-222220000000022-2-2-2-2222222-2-2-2-200000000-2-222000000000000
χ282222-2-22-2-2-2-2222-22000022-2-2-2-222-2-222000000002222-2-2-2-2-2-2-2-222220000-2-222000000000000-2-2-2-2222200000000-2-22222-2-2-2-2-2-222220000000022-2-2000000000000
χ292222-2-2-11111-1-1-12-2000022-2-2-2-222-1-111−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i322-2-222-2-2-1-1-1-111110000−i3−i3i3i3-1-111−i3−i3i3i300000000
χ302222-2-2-11111-1-1-12-2000022-2-2-2-222-1-111−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1000022-2-20000−i3−i3−i3−i3i3i3i3i3-1-1-1-11111−i3−i3−i3−i3i3i3i3i3-2-222-2-2221111-1-1-1-10000i3i3−i3−i311-1-1i3i3−i3−i300000000
χ312222-2-2-11111-1-1-12-2000022-2-2-2-222-1-111i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i322-2-222-2-2-1-1-1-111110000i3i3−i3−i3-1-111i3i3−i3−i300000000
χ322222-2-2-11111-1-1-12-2000022-2-2-2-222-1-111i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1000022-2-20000i3i3i3i3−i3−i3−i3−i3-1-1-1-11111i3i3i3i3−i3−i3−i3−i3-2-222-2-2221111-1-1-1-10000−i3−i3i3i311-1-1−i3−i3i3i300000000
χ332222-2-2-11111-1-1-1-22000022-2-2-2-22211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-10000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i322-2-2-2-222-1-1-1-111110000i3i3−i3−i311-1-1−i3−i3i3i300000000
χ342222-2-2-11111-1-1-1-22000022-2-2-2-22211-1-1−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-10000-2-2220000i3i3i3i3−i3−i3−i3−i31111-1-1-1-1−i3−i3−i3−i3i3i3i3i3-2-22222-2-21111-1-1-1-10000−i3−i3i3i3-1-111i3i3−i3−i300000000
χ352222-2-2-11111-1-1-1-22000022-2-2-2-22211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-10000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i322-2-2-2-222-1-1-1-111110000−i3−i3i3i311-1-1i3i3−i3−i300000000
χ362222-2-2-11111-1-1-1-22000022-2-2-2-22211-1-1i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-10000-2-2220000−i3−i3−i3−i3i3i3i3i31111-1-1-1-1i3i3i3i3−i3−i3−i3−i3-2-22222-2-21111-1-1-1-10000i3i3−i3−i3-1-111−i3−i3i3i300000000
χ372-22-22-2222-2-2-22-200002-22-222-2-22-2000000002-22-222-2-22222-2-2-2-222-2-222-2-20000000022-2-222-2-2000000000000000000002i−2i2i−2i00000000002i−2i00002i−2i2i−2i2i−2i2i−2i00000000
χ382-22-22-2222-2-2-22-200002-22-222-2-22-2000000002-22-222-2-22222-2-2-2-222-2-222-2-20000000022-2-222-2-200000000000000000000−2i2i−2i2i0000000000−2i2i0000−2i2i−2i2i−2i2i−2i2i00000000
χ392-22-22-2222-2-2-22-20000-222-222-2-22-200000000-22-2222-2-22222-2-2-2-222-2-2-2-22200000000-2-222-2-222000000000000000000002i−2i2i−2i0000000000−2i2i00002i−2i2i−2i−2i2i−2i2i00000000
χ402-22-22-2222-2-2-22-20000-222-222-2-22-200000000-22-2222-2-22222-2-2-2-222-2-2-2-22200000000-2-222-2-22200000000000000000000−2i2i−2i2i00000000002i−2i0000−2i2i−2i2i2i−2i2i−2i00000000
χ412-22-22-2-1-1-1111-1100002-22-222-2-22-23−33−33−33−3-11-11-1-111-1-1-1-11111-1-11122-2-200000000-1-111-1-11133−3−333−3−333−3−333−3−300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i3002i−2i−i3i3−i3i3−ii−ii−ii−ii00000000
χ422-22-22-2-1-1-1111-1100002-22-222-2-22-23−33−33−33−3-11-11-1-111-1-1-1-11111-1-11122-2-200000000-1-111-1-11133−3−333−3−333−3−333−3−30000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i300−2i2ii3−i3i3−i3i−ii−ii−ii−i00000000
χ432-22-22-2-1-1-1111-1100002-22-222-2-22-2−33−33−33−33-11-11-1-111-1-1-1-11111-1-11122-2-200000000-1-111-1-111−3−333−3−333−3−333−3−33300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i3002i−2ii3−i3i3−i3−ii−ii−ii−ii00000000
χ442-22-22-2-1-1-1111-1100002-22-222-2-22-2−33−33−33−33-11-11-1-111-1-1-1-11111-1-11122-2-200000000-1-111-1-111−3−333−3−333−3−333−3−3330000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i300−2i2i−i3i3−i3i3i−ii−ii−ii−i00000000
χ452-22-22-2-1-1-1111-110000-222-222-2-22-23−33−3−33−331-11-1-1-111-1-1-1-11111-1-111-2-2220000000011-1-111-1-133−3−333−3−3−3−333−3−33300002i−2i2i−2i−i3−i3i3i3−i3−i3i3i300−2i2ii3−i3i3−i3−ii−iii−ii−i00000000
χ462-22-22-2-1-1-1111-110000-222-222-2-22-23−33−3−33−331-11-1-1-111-1-1-1-11111-1-111-2-2220000000011-1-111-1-133−3−333−3−3−3−333−3−3330000−2i2i−2i2ii3i3−i3−i3i3i3−i3−i3002i−2i−i3i3−i3i3i−ii−i−ii−ii00000000
χ472-22-22-2-1-1-1111-110000-222-222-2-22-2−33−333−33−31-11-1-1-111-1-1-1-11111-1-111-2-2220000000011-1-111-1-1−3−333−3−33333−3−333−3−300002i−2i2i−2ii3i3−i3−i3i3i3−i3−i300−2i2i−i3i3−i3i3−ii−iii−ii−i00000000
χ482-22-22-2-1-1-1111-110000-222-222-2-22-2−33−333−33−31-11-1-1-111-1-1-1-11111-1-111-2-2220000000011-1-111-1-1−3−333−3−33333−3−333−3−30000−2i2i−2i2i−i3−i3i3i3−i3−i3i3i3002i−2ii3−i3i3−i3i−ii−i−ii−ii00000000
χ492-22-2-222-2-222-22-2002i−2i002-2-2-2222-200002i−2i−2i2i000022-2-2-2-2-2-2222222-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i00002i−2i−2i2i000000002-2002-2-222i−2i−2i2i000000000000
χ502-22-2-222-2-222-22-2002i−2i002-2-2-2222-200002i−2i−2i2i000022-2-2-2-2-2-2222222-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i−2i−2i2i2i0000−2i2i2i−2i00000000-2200-222-2−2i2i2i−2i000000000000
χ512-22-2-222-2-222-22-200−2i2i002-2-2-2222-20000−2i2i2i−2i000022-2-2-2-2-2-2222222-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i00002i−2i−2i2i00000000-2200-222-22i−2i−2i2i000000000000
χ522-22-2-222-2-222-22-200−2i2i002-2-2-2222-20000−2i2i2i−2i000022-2-2-2-2-2-2222222-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i2i2i−2i−2i0000−2i2i2i−2i000000002-2002-2-22−2i2i2i−2i000000000000
χ532-22-2-22-111-1-11-11002i−2i002-2-2-2222-23−3−33−iii−i−i3i3i3−i3-1-1111111-1-1-1-1-1-111000000002i2i−2i−2i−i3−i3i3i3i3i3−i3−i333−3−3−3−333−i−iiiii−i−i00002i−2i−2i2i−i3−i3i3i3i3i3−i3−i32-200-111-1−iii−i3−3−3300000000
χ542-22-2-22-111-1-11-11002i−2i002-2-2-2222-23−3−33−iii−i−i3i3i3−i3-1-1111111-1-1-1-1-1-111000000002i2i−2i−2i−i3−i3i3i3i3i3−i3−i333−3−3−3−333−i−iiiii−i−i0000−2i2i2i−2ii3i3−i3−i3−i3−i3i3i3-22001-1-11i−i−ii−333−300000000
χ552-22-2-22-111-1-11-11002i−2i002-2-2-2222-2−333−3−iii−ii3−i3−i3i3-1-1111111-1-1-1-1-1-111000000002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−3−33333−3−3−i−iiiii−i−i00002i−2i−2i2ii3i3−i3−i3−i3−i3i3i32-200-111-1−iii−i−333−300000000
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χ12688-8-800-44i3−4i34i3−4i3-444000000-2225−2525−252-20000000000001+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i151+i151−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-8-880080000-8-88000000-2-2−252525−2522000000000000-2-2-2-2−252525−2525−25−252522220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-8-880080000-8-88000000-2-225−25−252522000000000000-2-2-2-225−25−2525−252525−2522220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-8-8800-4−4i34i34i3−4i344-4000000-2-2−252525−25220000000000001+i151−i151+i151−i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i15−1+i15−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-8-8800-4−4i34i34i3−4i344-4000000-2-225−25−2525220000000000001−i151+i151−i151+i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i15−1−i15−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-8-8800-44i3−4i3−4i34i344-4000000-2-2−252525−25220000000000001−i151+i151−i151+i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i15−1−i15−1+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-8-8800-44i3−4i3−4i34i344-4000000-2-225−25−2525220000000000001+i151−i151+i151−i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i15−1+i15−1−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.