Finite Group Databasebeta

← Group #14480334

Character table — Group #14480334

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168
size11112222222222224444444444444444466888888888888888888101012121212121212121212122020202020202024242424303040406060601111222222222222444444444444444446688888888888888888810101212121212121212121212202020202020202424242430304040606060
order1222355666101010101010244661515202020203030303030302210101212202030303030606060606060606022444101010102020202022466662020202022612244222261010666101010101010244663030202020203030303030302210101212202030303030606060606060606022444101010102020202022466662020202022612244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1
χ3111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1111111111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-111-1-1-1
χ4111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111111111111111111111111111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111
χ511111111111111111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-11111-1-11111-1-1-1-1111111111111111111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-11-11111-1-1-1-11-1-11111-1-11111-1-1-1-11
χ611111111111111111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-1-1-1-111-1-11111-111111111111111111-1-11111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1-111-1-1-1-1-1-111-1-11111-1
χ711111111111111111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-111111-1-1111111-1-1-1-1-1-111-111111111111111111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111-11-1-1-1-111111-1-1111111-1-1-1-1-1-111-1
χ811111111111111111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1-1-1-111-1-11111-1-1111111111111111111-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-11-1-1-1-11111-111-1-1-1-111-1-11111-1-11
χ91111111111111111-11-1-1-111-1-1-1-111111111-1-11-111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-111-1-111-11-11-11111111111111111-11-1-1-111-1-1-1-111111111-1-11-111-1-1-1-11111-1-1-1-1111-1-11111-1-1-1-1-1-1111-1-111-1-111-11-11-1
χ101111111111111111-11-1-1-111-1-1-1-111111111-1-11-111-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-11111-1-1-1-11-11-111111111111111111-11-1-1-111-1-1-1-111111111-1-11-111-1-1-1-11111-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-11111-1-1-1-11-11-11
χ111111111111111111-11-1-1-111-1-1-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-1111-1-1-1-111-1-1-111-111111111111111111-11-1-1-111-1-1-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-1-111-111-1-1-1-11111-1-1111-1-1-1-111-1-1-111-11
χ121111111111111111-11-1-1-111-1-1-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111111-1-11-11111111111111111-11-1-1-111-1-1-1-1111111-1-1-1-11-111-1-1-1-11111-1-1-1-1-1-1-111-1-1-1-1111111-1-1-111-1-111111-1-11-1
χ131111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-11-111-1-1-1-1-1-1111-11-1-11111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1111111111-11-111-1-1-1-1-1-1111-11-1-1
χ141111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11-1-111-1-1-1-1-1-1-11-1111111111111111111-1-11-1-111111111111111-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-11-1-111-1-1-1-1-1-1-11-111
χ151111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11-1-1111111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11-1-111
χ161111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-11-1-111111111-111-1-11111111111111111-1-11-1-1111111111111-1-1-1-1-11-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-11-11-1-111111111-111-1-1
χ1722222−1−52−1+52222−1−52−1+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+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+52000000022222−1−52−1+52222−1−52−1+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+5222−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52−1−52−1+520000000
χ1822222−1−52−1+52222−1−52−1+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+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−52000000022222−1−52−1+52222−1−52−1+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+52-2-2−1−52−1+5222−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2-21+521+521−521−521+521+521−521−5200000001+521−521+521−520000000
χ1922222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+5222−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000001+521−52−1−52−1+520000000
χ2022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+522-2-222−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-2−1−52−1+52-2-21+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52002-221+521+521−521−52−1−52−1−52−1+52−1+520000000−1−52−1+521+521−520000000
χ2122222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52221+521−522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52221+521−522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52002-2-2−1−52−1−52−1+52−1+521+521+521−521−520000000−1−52−1+521+521−520000000
χ2222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-22-2-2-2−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−522-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2221+521+521−521−52−1−52−1−52−1+52−1+5200000001+521−52−1−52−1+520000000
χ2322222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−52-221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52221+521−52-221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200-2-22−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000001+521−521+521−520000000
χ2422222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−52-221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+52000000022222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-22-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-21+521−52-221+521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520022-21+521+521−521−521+521+521−521−520000000−1−52−1+52−1−52−1+520000000
χ2522222−1+52−1−52222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−52000000022222−1+52−1−52222−1+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+52−1−52−1−5222−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52−1+52−1−520000000
χ2622222−1+52−1−52222−1+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+52−1−52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+52000000022222−1+52−1−52222−1+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+52−1−52−1−52-2-2−1+52−1−5222−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2-21−521−521+521+521−521−521+521+5200000001−521+521−521+520000000
χ2722222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−52000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−5222−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000001−521+52−1+52−1−520000000
χ2822222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+52000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−522-2-222−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-2−1+52−1−52-2-21−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52002-221−521−521+521+52−1+52−1+52−1−52−1−520000000−1+52−1−521−521+520000000
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χ3022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−52000000022222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-22-2-2-2−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52-2-21−521+522-2−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2221−521−521+521+52−1+52−1+52−1−52−1−5200000001−521+52−1+52−1−520000000
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χ1594-4-444−1−5−1+54-4-41+51−51+51−5−1−5−1+500000−1−5−1+500001+51−5−1−51+5−1+51−54-400000000000000000000000−1−51+5−1+51−50000000000000000000000-444-4-41+51−5-444−1−5−1+5−1−5−1+51+51−5000001+51−50000−1−5−1+51+5−1−51−5−1+5-44000000000000000000000001+5−1−51−5−1+50000000000000000000000
χ1604-4-444−1−5−1+54-4-41+51−51+51−5−1−5−1+500000−1−5−1+500001+51−5−1−51+5−1+51−5-44000000000000000000000001+5−1−51−5−1+50000000000000000000000-444-4-41+51−5-444−1−5−1+5−1−5−1+51+51−5000001+51−50000−1−5−1+51+5−1−51−5−1+54-400000000000000000000000−1−51+5−1+51−50000000000000000000000
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χ1688-8-88-4−2+25−2−25-4442−252+252−252+25−2+25−2−25000001−51+50000−1+5−1−51−5−1+51+5−1−5000000000000000000000000000000000000000000000000000-888-842−252+254-4-4−2+25−2−25−2+25−2−252−252+2500000−1+5−1−500001−51+5−1+51−5−1−51+5000000000000000000000000000000000000000000000000000

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