Finite Group Databasebeta

← Group #14480413

Character table — Group #14480413

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162C163C164C165C166C167C168C169C170C171C172C173C174C175C176C177C178C179C180
size111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060111122222222222222444444444444444444448888888888888888101010101010101012121212121212121212121220202020202020202424242460606060
order122234455666101010101010441212121212121515202020203030303030302020202060606060606060606060606022441212121222442020202020202020226666661010101022442222644101066610101010101044121212121212303020202020303030303030202020206060606060606060606060602244121212122244202020202020202022666666101010102244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ6111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-11111111111-1-111-1-1-1-1-1-1-1-1-1-111
χ7111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-111111111-1-111
χ8111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1111111111111111111-1-111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-111-1-1
χ911111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-11-11111-1-111-1-11-11-111111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11-11-11111-1-1-1-11-11111-1-111-1-11-11-1
χ1011111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-111111-11111-1-1-1-111-11-1111111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-11-11-1-1-1-111111-11111-1-1-1-111-11-11
χ1111111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-11111-1-1-1-1-11-1-1-1-11111-1-1-11-1111111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-11111111-11-11111-1-1-1-1-11-1-1-1-11111-1-1-11-11
χ1211111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-1-1-11111-11-1-1-1-111-1-1111-11-111111-1-1111111111111-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1111111-11-11-1-1-1-11111-11-1-1-1-111-1-1111-11-1
χ1311111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-1-11111-1111-1-11111-1-11-1-1111111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11-1-11-1-1-1-11111-1111-1-11111-1-11-1-11
χ1411111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1-1111-1-111-1-111-111-111111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1-1111-1-111-1-111-111-1
χ1511111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-111111-1-1-111-1-111-1-1-111-111111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-11111111-1-11-1-1-1-111111-1-1-111-1-111-1-1-111-1
χ1611111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-111-11111-1-1-1-11-1-1-111-1-1-1-1111-1-1111111-1-111111111111-11-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1111111-111-11111-1-1-1-11-1-1-111-1-1-1-1111-1-11
χ172222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+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+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+5200002222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+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+52000000002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+520000
χ182222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+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+5200000000-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−5200002222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+5222222222−1−52−1+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+5200000000-2-2-2-21+521+521−521−521+521+521−521−52000000001+521−521+521−520000
χ192222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000022-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+5200002222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000000022-2-21+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+520000
χ202222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−5200002222222−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-2-222-2-2-2-2−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000-2-222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000001+521−521+521−520000
χ212222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−5200002222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+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+52−1−52−1−52000000002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200000000−1+52−1−52−1+52−1−520000
χ222222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+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+52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+5200002222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−5222222222−1+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+52−1−52−1−5200000000-2-2-2-21−521−521+521+521−521−521+521+52000000001−521+521−521+520000
χ232222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000022-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−5200002222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000000022-2-21−521−521+521+521−521−521+521+5200000000−1+52−1−52−1+52−1−520000
χ242222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+5200002222222−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+5200000000-2-222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000001−521+521−521+520000
χ2522222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−52000022222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000002-22-2−1−52−1−52−1+52−1+521+521+521−521−5200000000−1−52−1+521+521−520000
χ2622222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+52000022222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+522-2-2-222-2-2−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200000000-22-221+521+521−521−52−1−52−1−52−1+52−1+52000000001+521−52−1−52−1+520000
χ2722222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−52000022222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000002-2-221+521+521−521−52−1−52−1−52−1+52−1+5200000000−1−52−1+521+521−520000
χ2822222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000-222-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+52000022222-2-2−1−52−1+52222−1−52−1−52−1−52−1+52−1+52−1+52-22-2-2-2-222−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+5200000000-222-2−1−52−1−52−1+52−1+521+521+521−521−52000000001+521−52−1−52−1+520000
χ2922222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+52000022222-2-2−1+52−1−52222−1+52−1+52−1+52−1−52−1−52−1−522-2-2-222-2-2−1+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+52−1+52−1+52−1−52−1−521−521−521+521+52000000002-22-2−1+52−1+52−1−52−1−521−521−521+521+5200000000−1+52−1−521−521+520000
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Here ζ is a primitive root of unity of order 60 (ζ60 = 1); i = ζ15.