Finite Group Databasebeta

← Group #14417782

Character table — Group #14417782

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160C161C162
size1111222222222222222222222222224444444444444444444444444444444444666688888888888888888888888888888888888812121212121212121212121212121212121212121212202020202020202024242424242424243030303030303030404040404040404060606060
order122222344445566610101010101010101010101010104444661212121215152020202020202020303030303030303030303030303088881212121220202020202020206060606060606060606060606060606060606060606060604444884040404040404040404040404040404022448888202020202020202044444444661212242424242244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ6111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ7111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ91111-1-11-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-1-111
χ101111-1-11-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-11111-1-1
χ111111-1-11-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-11111-1-111-1-11111-1-111-1-111-1-1
χ121111-1-11-1-11111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1111111-1-111-1-1-1-111-1-111-1-111
χ131111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-11111-1-1-1-111-1-111
χ141111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-111-1-1
χ151111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1
χ161111-1-11-1-11111111-1-1-1-1-1-1-1-1111111-1-111-1-11-1-111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111
χ171-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1i−ii−i1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11111-1-1-1-11111-1-1-1-11-11-1i−ii−iii−i−iii−i−ii−ii−ii−ii−i1-11-1i−ii−i1-11-1
χ181-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1i−ii−i1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−ii−ii−i1-11111-1-1-1-11111-1-1-1-1-11-11−ii−iiii−i−iii−i−i−ii−ii−ii−ii-11-11−ii−ii-11-11
χ191-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1i−ii−i1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-1-1-1-11111-1-1-1-111111-11-1i−ii−i−i−iii−i−iii−ii−ii−ii−ii1-11-1i−ii−i-11-11
χ201-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1i−ii−i1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111i−ii−iii−i−iii−i−i11-1-111-1-1iiii−i−i−i−iiiii−i−i−i−i−ii−ii-11-1-1-1-11111-1-1-1-11111-11-11−ii−ii−i−iii−i−iiii−ii−ii−ii−i-11-11−ii−ii1-11-1
χ211-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1−ii−ii1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11111-1-1-1-11111-1-1-1-11-11-1−ii−ii−i−iii−i−iii−ii−ii−ii−ii1-11-1−ii−ii1-11-1
χ221-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1−ii−ii1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−ii−ii1-11111-1-1-1-11111-1-1-1-1-11-11i−ii−i−i−iii−i−iiii−ii−ii−ii−i-11-11i−ii−i-11-11
χ231-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1−ii−ii1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-1-1-1-11111-1-1-1-111111-11-1−ii−iiii−i−iii−i−ii−ii−ii−ii−i1-11-1−ii−ii-11-11
χ241-11-11-111-11-111-1-111111-1-1-1-111-1-1-1-1−ii−ii1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-1-1-111−ii−ii−i−iii−i−iii11-1-111-1-1−i−i−i−iiiii−i−i−i−iiiiii−ii−i-11-1-1-1-11111-1-1-1-11111-11-11i−ii−iii−i−iii−i−i−ii−ii−ii−ii-11-11i−ii−i1-11-1
χ251-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1i−i−ii-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111111-1-1-1-1-1-1-1-111111-1-11i−i−iiii−i−i−i−iiii−i−iii−i−ii1-1-11i−i−ii-111-1
χ261-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1i−i−ii-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiiii−i−ii-111111-1-1-1-1-1-1-1-11111-111-1−iii−iii−i−i−i−iii−iii−i−iii−i-111-1−iii−i1-1-11
χ271-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1i−i−ii-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-1-1-1-111111111-1-1-1-11-1-11i−i−ii−i−iiiii−i−i−iii−i−iii−i1-1-11i−i−ii1-1-11
χ281-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1i−i−ii-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111i−i−iiii−i−i−i−iii11-1-1-1-111iiii−i−i−i−i−i−i−i−iiiii−iii−i1-1-1-1-1-111111111-1-1-1-1-111-1−iii−i−i−iiiii−i−ii−i−iii−i−ii-111-1−iii−i-111-1
χ291-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1−iii−i-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111111-1-1-1-1-1-1-1-111111-1-11−iii−i−i−iiiii−i−i−iii−i−iii−i1-1-11−iii−i-111-1
χ301-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1−iii−i-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-111-1-1−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i−iii−i-111111-1-1-1-1-1-1-1-11111-111-1i−i−ii−i−iiiii−i−ii−i−iii−i−ii-111-1i−i−ii1-1-11
χ311-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1−iii−i-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-1-1-1-111111111-1-1-1-11-1-11−iii−iii−i−i−i−iiii−i−iii−i−ii1-1-11−iii−i1-1-11
χ321-11-1-111-111-111-1-11-1-1-1-1111111-1-1-1-1−iii−i-111-11-111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-111−iii−i−i−iiiii−i−i11-1-1-1-111−i−i−i−iiiiiiiii−i−i−i−ii−i−ii1-1-1-1-1-111111111-1-1-1-1-111-1i−i−iiii−i−i−i−iii−iii−i−iii−i-111-1i−i−ii-111-1
χ3322222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+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+52−1−52−1−52−1+52−1+52222222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
χ3422222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+522222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-22222−1−52−1+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+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52-2-2-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ3522222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+522222-2-2-2-21+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+521−521−52-2-2-2-222−1−52−1−52−1+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+52000000001+521−521+521−521+521−521+521−5200000000000000000000
χ3622222222222−1−52−1+52222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-2222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52-2-2-2-2-2-2-2-21+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+521−521−522222-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−5200000000−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+5200000000000000000000
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χ1608-8-8800-40000−2−25−2+25-4444ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1162+252−252+252−25−2−25−2+2500000000001+51−5000000001+51−5−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−1−5−1+5−1−5−1+500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1618-8-8800-40000−2+25−2−25-4444ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ92−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ922−252+252−252+25−2+25−2−2500000000001−51+5000000001−51+5−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ922ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1628-8-8800-40000−2+25−2−25-444−4ζ4−4ζ44+4ζ76+4ζ1164ζ4+4ζ44−4ζ76−4ζ116−4ζ28+4ζ52−4ζ68+4ζ924ζ28−4ζ52+4ζ68−4ζ924ζ4+4ζ44−4ζ76−4ζ116−4ζ4−4ζ44+4ζ76+4ζ1164ζ28−4ζ52+4ζ68−4ζ92−4ζ28+4ζ52−4ζ68+4ζ922−252+252−252+25−2+25−2−2500000000001−51+5000000001−51+52ζ4+2ζ44−2ζ76−2ζ116−2ζ4−2ζ44+2ζ76+2ζ1162ζ28−2ζ52+2ζ68−2ζ92−2ζ28+2ζ52−2ζ68+2ζ92−2ζ4−2ζ44+2ζ76+2ζ1162ζ4+2ζ44−2ζ76−2ζ116−2ζ28+2ζ52−2ζ68+2ζ922ζ28−2ζ52+2ζ68−2ζ92−1+5−1−5−1+5−1−500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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