Finite Group Databasebeta

← Group #14331672

Character table — Group #14331672

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150
size111111112222222222222222222222224444444444444444444444888888888888888888888888888888888888888888121212121212121215151515151515152020202020202020242424242424242424242424242424244040404040404040606060606060
order1222222235566666661010101010101010101010101010444444151530303030303030303030303030301212121212122020202020202020202020206060606060606060606060606060606060606060606060602222444444444444224444441010101010101010202020202020202066121212121212224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ51111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-11111-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111-1-1
χ81111111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-111
χ911111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-111
χ1011111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1
χ1111111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111
χ1211111111111111111111111111111111-1-111-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-111-1-111-1-11111-1-1
χ1311111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ1411111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111
χ1511111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1
χ1611111111111111111111111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111
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χ23222222222−1−52−1+522222222−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-222−1−52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1+52-2-2-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521+521+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+522222-2-2-2-20000000000000000−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−5200000000000000
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χ28222222222−1+52−1−522222222−1+52−1+52−1+52−1−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−5222-2-2-2-2−1+52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1−52−1−52−1−5222-2-2-2-2−1+52−1+52−1−52−1−521−521−521+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+52-2-222-2-22200000000000000001−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200000000000000
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χ3322222222-122-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000222222220000000000000000-1-1-1-1-1-1-1-1000000
χ3422222222-122-1-1-1-1-1-1-122222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2000000000000000011111111000000
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χ1438888-8-8-8-8-4−2−25−2+25-444-4-4442+252+252+252−252−252−25−2−25−2−25−2+25−2+25−2−25−2+252+252−250000001+51−51+5−1−5−1−5−1−51−5−1+5−1+5−1+51+51+5−1−51−51−5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1448888-8-8-8-8-4−2+25−2−25-444-4-4442−252−252−252+252+252+25−2+25−2+25−2−25−2−25−2+25−2−252−252+250000001−51+51−5−1+5−1+5−1+51+5−1−5−1−5−1−51−51−5−1+51+51+5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14588-8-8-8-888-4−2−25−2+2544-4-444-42+252+25−2−252−252−25−2+25−2−252+25−2+252−252+252−25−2−25−2+250000001+51−5−1−5−1−5−1−51+5−1+5−1+5−1+51−51+5−1−51+51−5−1+51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ14688-8-8-8-888-4−2+25−2−2544-4-444-42−252−25−2+252+252+25−2−25−2+252−25−2−252+252−252+25−2+25−2−250000001−51+5−1+5−1+5−1+51−5−1−5−1−5−1−51+51−5−1+51−51+5−1−51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1478-88-8-88-88-4−2−25−2+254-444-44-42+25−2−252+252−25−2+252−252+25−2−252−25−2+252+252−25−2−25−2+250000001+51−5−1−5−1−51+5−1−5−1+5−1+51−5−1+5−1−51+51+5−1+51−51−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1488-88-8-88-88-4−2+25−2−254-444-44-42−25−2+252−252+25−2−252+252−25−2+252+25−2−252−252+25−2+25−2−250000001−51+5−1+5−1+51−5−1+5−1−5−1−51+5−1−5−1+51−51−5−1−51+51+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1498-8-88-888-8-4−2−25−2+25-4-4-444442+25−2−25−2−252−25−2+25−2+252+252+252−252−25−2−25−2+252+252−250000001+51−51+5−1−51+51+51−5−1+51−51−5−1−5−1−5−1−5−1+5−1+5−1+5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1508-8-88-888-8-4−2+25−2−25-4-4-444442−25−2+25−2+252+25−2−25−2−252−252−252+252+25−2+25−2−252−252+250000001−51+51−5−1+51−51−51+5−1−51+51+5−1+5−1+5−1+5−1−5−1−5−1−5000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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