Finite Group Databasebeta

← Group #14413036

Character table — Group #14413036

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060111122222244444444445555666688888888101010101010121212121212121220202020202020202020202020203030303060606060
order122222366656610101010101010444444441530303030303030441212121220202020202020208888121224242424242424244444888822222266661066101010101010104444444430303030303030304412121212202020202020202088881212242424242424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111ii−i−i-1-1iiii−i−i−i−i-1-1-1-1ii−i−i
χ611111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii11111111111111111111-1-1-1-1111111111111-1-1-1-1-1-111111111−i−iii-1-1−i−i−i−iiiii-1-1-1-1−i−iii
χ711111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−i-1-1iiii−i−i−i−i1111−i−iii
χ811111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i11111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii-1-1−i−i−i−iiiii1111ii−i−i
χ91111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-11111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-11-11-1-1-111-1-111-1-111-1-11-11-1
χ101111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-111111-1-111111-1-111-1-1-1-11111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-11-11-1-1-1-111-1-11111-1-1-11-11
χ111111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-111111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-111111-11-1-1-111-1-111-1-1-1-111-11-11
χ121111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-11111-1-111111-1-111-1-1-1-111111-1-1111111-1-1-1-1-1-11111-1-1-1-11111-11-11-1-1-1-111-1-111-1-1111-11-1
χ131111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii1111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1i−i−ii11ii−i−i−i−iii-1-111i−i−ii
χ141111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i1111-1-111111-1-111-1-1-1-11-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1−iii−i11−i−iiiii−i−i-1-111−iii−i
χ151111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i1111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111i−i−ii11ii−i−i−i−iii11-1-1−iii−i
χ161111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii1111-1-111111-1-111-1-1-1-11-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111−iii−i11−i−iiiii−i−i11-1-1i−i−ii
χ17222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000222222-1-1-1-12-1-1222222222220000-1-1-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-1-11111111100000000
χ19222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-21111000000002i2i−2i−2i11−i−i−i−iiiii00000000
χ20222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000222222-1-1-1-12-1-12222222-2-2-2-20000-1-1-1-1-1-1-1-1-2-2111100000000−2i−2i2i2i11iiii−i−i−i−i00000000
χ212222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-111000000002222-2-2-1-1-1-121122-2-2-2-2222220000-1-1-1-11111-2-2-1-1-1-1000000002-22-211-1-111-1-11100000000
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χ1334-4-44004-44-4-1001-15−5−55100004i−4i00-111-15−5−55000000−i−iiii5−i5−i5i50000000000000000000000-444-400-44-44100-11−555−5-10000−4i4i001-1-11−555−5000000ii−i−i−i5i5i5−i50000000000000000000000
χ1344-4-44004-44-4-1001-15−5−5510000−4i4i00-111-15−5−55000000ii−i−i−i5i5i5−i50000000000000000000000-444-400-44-44100-11−555−5-100004i−4i001-1-11−555−5000000−i−iiii5−i5−i5i50000000000000000000000
χ1354-4-4400-22-22400-440000-44i−4i−4i4i0000-222-2000000−2i2i2i−2i000000000000000000000000000000-444-4002-22-2-4004-400004−4i4i4i−4i00002-2-220000002i−2i−2i2i000000000000000000000000000000
χ1364-4-4400-22-22400-440000-4−4i4i4i−4i0000-222-20000002i−2i−2i2i000000000000000000000000000000-444-4002-22-2-4004-4000044i−4i−4i4i00002-2-22000000−2i2i2i−2i000000000000000000000000000000
χ137888888-4-4-4-4-2-4-4-2-2-2-2-2-2-20000000011111111000000000000000000000000000000000000-8-8-8-8-8-84444244222222200000000-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ1388888-8-8-4-4-4-4-244-2-22222-2000000001111-1-1-1-1000000000000000000000000000000000000-8-8-8-88844442-4-422-2-2-2-2200000000-1-1-1-11111000000000000000000000000000000000000
χ13988-8-800-4-444-20022−2525−2525-20000000011-1-15−55−5000000000000000000000000000000000000-8-8880044-4-4200-2-225−2525−25200000000-1-111−55−55000000000000000000000000000000000000
χ14088-8-800-4-444-2002225−2525−25-20000000011-1-1−55−55000000000000000000000000000000000000-8-8880044-4-4200-2-2−2525−2525200000000-1-1115−55−5000000000000000000000000000000000000
χ1418-88-88-8-444-4-2-44-22-2-2222000000001-11-111-1-1000000000000000000000000000000000000-88-88-884-4-4424-42-222-2-2-200000000-11-11-1-111000000000000000000000000000000000000
χ1428-88-8-88-444-4-24-4-2222-2-22000000001-11-1-1-111000000000000000000000000000000000000-88-888-84-4-442-442-2-2-222-200000000-11-1111-1-1000000000000000000000000000000000000
χ1438-8-8800-44-44-2002-2−252525−252000000001-1-115−5−55000000000000000000000000000000000000-888-8004-44-4200-2225−25−2525-200000000-111-1−555−5000000000000000000000000000000000000
χ1448-8-8800-44-44-2002-225−25−25252000000001-1-11−555−5000000000000000000000000000000000000-888-8004-44-4200-22−252525−25-200000000-111-15−5−55000000000000000000000000000000000000

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