Finite Group Databasebeta

← Group #14471540

Character table — Group #14471540

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141
size1111222222222222222222224444444444444444444444444444444888888888888888888888888888888888888888101010101212121220202020202020202020202024242424242424242424303030304040404040484848486060120120
order12223444455666101010101010121212124441212121215152020202020202020303030303030606060606060606041212121220202020202020202020606060606060606060606060606060606060606060606060888888882288242424242424242444404040404040404044444661212202020204444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111111111-1-1111111111111-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-1-1-1-1-111
χ81111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111111-1-1
χ911111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-11111-1-1-1-111-1-1-111-1-111-1-11-11-1
χ1011111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1-11-1-1-1-11111-1-111-111-1-1-1-111-11-11
χ1111111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111-11111-1-1-1-1-1-1111-1-11111-1-1-11-11
χ1211111-1-11111111111111-1-1-1-1-111-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-11-1-1-1-1111111-1-11-1-111-1-1111-11-1
χ1311111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-11-1-111-1-1111-1-11
χ1411111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-11111-1-1111-1-11111-1-1-111-1
χ1511111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-11111-1-1-1-11111-111111-1-1-1-1-1-111-111-1-1-1-111-111-1
χ1611111-1-11111111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-111111-1-1-1-1-1111111-1-1-111-1-111-1-11-1-11
χ17222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000222200000000000022−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000−1−52−1+52−1−52−1+520000
χ18222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2-2-2000000000000-2-21+521+521−521−521+521+521−521−520000000001+521−521+521−520000
χ19222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222-2-22222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−5200002222000000000000-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000001+521−521+521−520000
χ20222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+5222222-2-22222−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-2-2−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−521+521+521+521+521−521−521−521−520000-2-2-2-2000000000000221+521+521−521−521+521+521−521−52000000000−1−52−1+52−1−52−1+520000
χ21222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000222200000000000022−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000−1+52−1−52−1+52−1−520000
χ22222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222222222−1+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+52−1−52−1−52−1−52−1−5222222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2-2-2000000000000-2-21−521−521+521+521−521−521+521+520000000001−521+521−521+520000
χ23222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+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+521−521−521−521−521+521+521+521+5200002222000000000000-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000001−521+521−521+520000
χ24222222222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−5222222-2-22222−1+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+52−1−52−1−52−1−52−1−52-2-2-2-2-2−1+52−1−521−521−521+521+521−521−521+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+521−521−521−521−521+521+521+521+520000-2-2-2-2000000000000221−521−521+521+521−521−521+521+52000000000−1+52−1−52−1+52−1−520000
χ252222222-2-2222222222222222-200-2-2-2-222-2-22222-2-22222222222222200000-2-200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000002222000000000-2-200
χ262222222-2-2222222222222222-200-2-2-2-222-2-22222-2-22222222222222200000-2-200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000-2-2-2-20000000002200
χ2722222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−52000022-2-20000000000002-2−1−52−1−52−1+52−1+521+521+521−521−52000000000−1−52−1+521+521−520000
χ2822222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-222-2-222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+521+521+521+521+521−521−521−521−520000-2-222000000000000-221+521+521−521−52−1−52−1−52−1+52−1+520000000001+521−52−1−52−1+520000
χ2922222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2221+521−521+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52000022-2-2000000000000-22−1−52−1−52−1+52−1+521+521+521−521−520000000001+521−52−1−52−1+520000
χ3022222-2-222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1+52-2-2-2-2-2-2-2-2-222−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2221+521−521+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+521−521−521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000-2-2220000000000002-21+521+521−521−52−1−52−1−52−1+52−1+52000000000−1−52−1+521+521−520000
χ3122222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-222−1+52−1−52−1+52−1−521−521−521+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+52-222-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+52000022-2-20000000000002-2−1+52−1+52−1−52−1−521−521−521+521+52000000000−1+52−1−521−521+520000
χ3222222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-222-2-222−1+52−1−52−1+52−1−521−521−521+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+52-222-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+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+520000-2-222000000000000-221−521−521+521+52−1+52−1+52−1−52−1−520000000001−521+52−1+52−1−520000
χ3322222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−521−521−521+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+522-2-2221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52000022-2-2000000000000-22−1+52−1+52−1−52−1−521−521−521+521+520000000001−521+52−1+52−1−520000
χ3422222-2-222−1+52−1−52222−1+52−1+52−1−52−1−52−1+52−1−52-2-2-2-2-2-2-2-2-222−1+52−1−52−1+52−1−521−521−521+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+522-2-2221−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000-2-2220000000000002-21−521−521+521+52−1+52−1+52−1−52−1−52000000000−1+52−1−521−521+520000
χ3522222-2-2-2-222222222222-2-2-2-220022-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000002200000000-2-2-2-22222000000000000000000000000000000000000000000000022-2-2000000000-2200
χ3622222-2-2-2-222222222222-2-2-2-220022-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2000002200000000-2-2-2-222220000000000000000000000000000000000000000000000-2-2220000000002-200
χ372222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200002222-1-1-1-1-1-1-1-1000000000000002-1-1-1-100000000
χ382222-1222222-1-1-1222222-1-1-1-1222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-21111111100000000000000-2111100000000
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χ13288-8-880000−2−25−2+25-88-82+25−2−252−25−2+252+252−2500000000000−2−25−2+25000000002+252−252+25−2−252−25−2+250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13388-8-880000−2+25−2−25-88-82−25−2+252+25−2−252−252+2500000000000−2+25−2−25000000002−252+252−25−2+252+25−2−250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13488-8-8-40000−2−25−2+254-442+25−2−252−25−2+252+252−2543−43−434300000001+51−500000000−1−5−1+5−1−51+5−1+51−5−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13588-8-8-40000−2−25−2+254-442+25−2−252−25−2+252+252−25−434343−4300000001+51−500000000−1−5−1+5−1−51+5−1+51−52ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ9400000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13688-8-8-40000−2+25−2−254-442−25−2+252+25−2−252−252+2543−43−434300000001−51+500000000−1+5−1−5−1+51−5−1−51+52ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ1182ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ13788-8-8-40000−2+25−2−254-442−25−2+252+25−2−252−252+25−434343−4300000001−51+500000000−1+5−1−5−1+51−5−1−51+5−2ζ14+2ζ46−2ζ86+2ζ942ζ14−2ζ46+2ζ86−2ζ942ζ14−2ζ46+2ζ86−2ζ94−2ζ14+2ζ46−2ζ86+2ζ942ζ22−2ζ38−2ζ62+2ζ118−2ζ22+2ζ38+2ζ62−2ζ118−2ζ22+2ζ38+2ζ62−2ζ1182ζ22−2ζ38−2ζ62+2ζ11800000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1388-88-8-48-800−2−25−2+2544-42+252+252−252−25−2−25−2+25-4-44400000001+51−500−2−252+25−2+252−25001+51−5−1−5−1−5−1+5−1+51+51+5−1−5−1−51−51−5−1+5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1398-88-8-48-800−2+25−2−2544-42−252−252+252+25−2+25−2−25-4-44400000001−51+500−2+252−25−2−252+25001−51+5−1+5−1+5−1−5−1−51−51−5−1+5−1+51+51+5−1−5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1408-88-8-4-8800−2−25−2+2544-42+252+252−252−25−2−25−2+2544-4-400000001+51−5002+25−2−252−25−2+25001+51−5−1−5−1−5−1+5−1+5−1−5−1−51+51+5−1+5−1+51−51−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1418-88-8-4-8800−2+25−2−2544-42−252−252+252+25−2+25−2−2544-4-400000001−51+5002−25−2+252+25−2−25001−51+5−1+5−1+5−1−5−1−5−1+5−1+51−51−5−1−5−1−51+51+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.