Finite Group Databasebeta

← Group #14513620

Character table — Group #14513620

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144C145C146C147C148C149C150C151C152C153C154C155C156C157C158C159C160
size113366668811336666882266121212121616226612121212161622661212121216162266121212121616551515303030304040551515303030304040113366668811336666882266121212121616226612121212161622661212121216162266121212121616551515303030304040551515303030304040
order122244443622224444665101010202020201530510101020202020153010101010202020203030101010102020202030304444444412124444444412122222444466222244446610101010202020203030101010102020202030301010101020202020303010101010202020203030444444441212444444441212
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111
χ31-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1
χ41-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1
χ522220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-1
χ62-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-11
χ733-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-100
χ833-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-11100
χ93-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00
χ103-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00
χ11111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ121111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ131-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-111-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-11
χ141-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-111-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-11
χ1522220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-200001122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-2000011
χ162-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-11-22-2200001-1-22-2200001-12-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-112-22-20000-11-22-2200001-1-22-2200001-1
χ1733-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-1110033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-11100
χ1833-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-10033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-100
χ193-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i00
χ203-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii00
χ211111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i1111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiiiii−i−i−i−i−i−i−i−i−i−i
χ221111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1iiii−i−i−i−iii−i−i−i−iiiii−i−i1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1iiii−i−i−i−iii−i−i−i−iiiii−i−i
χ231-11-1i−ii−i1-1-11-11−ii−ii-111-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-11i−ii−i-11-11i−i−ii−ii1-11-1−ii1-11-1i−ii−i1-1-11-11−ii−ii-111-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-11i−ii−i-11-11i−i−ii−ii1-11-1−ii
χ241-11-1−ii−ii1-1-11-11i−ii−i-111-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-11i−ii−i1-11-1i−i−ii−ii-11-11−ii1-11-1−ii−ii1-1-11-11i−ii−i-111-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-11i−ii−i1-11-1i−i−ii−ii-11-11−ii
χ2522220000-1-1-2-2-2-200001122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-20000112i2i2i2i0000−i−i−2i−2i−2i−2i0000ii22220000-1-1-2-2-2-200001122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-20000112i2i2i2i0000−i−i−2i−2i−2i−2i0000ii
χ262-22-20000-11-22-2200001-12-22-20000-112-22-20000-11-22-2200001-1-22-2200001-12i−2i2i−2i0000−ii−2i2i−2i2i0000i−i2-22-20000-11-22-2200001-12-22-20000-112-22-20000-11-22-2200001-1-22-2200001-12i−2i2i−2i0000−ii−2i2i−2i2i0000i−i
χ2733-1-111-1-100-3-311-1-1110033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-111003i3i−i−iii−i−i00−3i−3iii−i−iii0033-1-111-1-100-3-311-1-1110033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-111003i3i−i−iii−i−i00−3i−3iii−i−iii00
χ2833-1-1-1-11100-3-31111-1-10033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-1003i3i−i−i−i−iii00−3i−3iiiii−i−i0033-1-1-1-11100-3-31111-1-10033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-1003i3i−i−i−i−iii00−3i−3iiiii−i−i00
χ293-3-11i−i−ii00-331-1−iii−i003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i003i−3i−ii-111-100−3i3ii−i1-1-11003-3-11i−i−ii00-331-1−iii−i003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i003i−3i−ii-111-100−3i3ii−i1-1-1100
χ303-3-11−iii−i00-331-1i−i−ii003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii003i−3i−ii1-1-1100−3i3ii−i-111-1003-3-11−iii−i00-331-1i−i−ii003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii003i−3i−ii1-1-1100−3i3ii−i-111-100
χ311111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii1111111111-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−iiiiiiiiiii
χ321111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−iiiii−i−i−i−iii1111-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−iiiii−i−i−i−iii
χ331-11-1i−ii−i1-1-11-11−ii−ii-111-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-11−ii−ii1-11-1−iii−ii−i-11-11i−i1-11-1i−ii−i1-1-11-11−ii−ii-111-11-1i−ii−i1-11-11-1i−ii−i1-1-11-11−ii−ii-11-11-11−ii−ii-11−ii−ii1-11-1−iii−ii−i-11-11i−i
χ341-11-1−ii−ii1-1-11-11i−ii−i-111-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-11−ii−ii-11-11−iii−ii−i1-11-1i−i1-11-1−ii−ii1-1-11-11i−ii−i-111-11-1−ii−ii1-11-11-1−ii−ii1-1-11-11i−ii−i-11-11-11i−ii−i-11−ii−ii-11-11−iii−ii−i1-11-1i−i
χ3522220000-1-1-2-2-2-200001122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-2000011−2i−2i−2i−2i0000ii2i2i2i2i0000−i−i22220000-1-1-2-2-2-200001122220000-1-122220000-1-1-2-2-2-2000011-2-2-2-2000011−2i−2i−2i−2i0000ii2i2i2i2i0000−i−i
χ362-22-20000-11-22-2200001-12-22-20000-112-22-20000-11-22-2200001-1-22-2200001-1−2i2i−2i2i0000i−i2i−2i2i−2i0000−ii2-22-20000-11-22-2200001-12-22-20000-112-22-20000-11-22-2200001-1-22-2200001-1−2i2i−2i2i0000i−i2i−2i2i−2i0000−ii
χ3733-1-111-1-100-3-311-1-1110033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-11100−3i−3iii−i−iii003i3i−i−iii−i−i0033-1-111-1-100-3-311-1-1110033-1-111-1-10033-1-111-1-100-3-311-1-11100-3-311-1-11100−3i−3iii−i−iii003i3i−i−iii−i−i00
χ3833-1-1-1-11100-3-31111-1-10033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-100−3i−3iiiii−i−i003i3i−i−i−i−iii0033-1-1-1-11100-3-31111-1-10033-1-1-1-1110033-1-1-1-11100-3-31111-1-100-3-31111-1-100−3i−3iiiii−i−i003i3i−i−i−i−iii00
χ393-3-11i−i−ii00-331-1−iii−i003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i00−3i3ii−i1-1-11003i−3i−ii-111-1003-3-11i−i−ii00-331-1−iii−i003-3-11i−i−ii003-3-11i−i−ii00-331-1−iii−i00-331-1−iii−i00−3i3ii−i1-1-11003i−3i−ii-111-100
χ403-3-11−iii−i00-331-1i−i−ii003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii00−3i3ii−i-111-1003i−3i−ii1-1-11003-3-11−iii−i00-331-1i−i−ii003-3-11−iii−i003-3-11−iii−i00-331-1i−i−ii00-331-1i−i−ii00−3i3ii−i-111-1003i−3i−ii1-1-1100
χ4122222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−520000000000000000000022222222222222222222−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−52−1−5200000000000000000000
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χ1442-22-2−2i2i−2i2i2-2-22-222i−2i2i−2i-22−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+521−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ191−52−1+521+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ71+52−1−5200000000000000000000-22-222i−2i2i−2i-222-22-2−2i2i−2i2i2-21−52−1+521−52−1+52−ζ11−ζ19ζ11+ζ19−ζ11−ζ19ζ11+ζ191−52−1+521+52−1−521+52−1−52−ζ3−ζ7ζ3+ζ7−ζ3−ζ7ζ3+ζ71+52−1−52−1+521−52−1+521−52ζ11+ζ19−ζ11−ζ19ζ11+ζ19−ζ11−ζ19−1+521−52−1−521+52−1−521+52ζ3+ζ7−ζ3−ζ7ζ3+ζ7−ζ3−ζ7−1−521+5200000000000000000000
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χ1464-44-40000-22-44-4400002-2−1+51−5−1+51−500001−52−1+52−1−51+5−1−51+500001+52−1−521−5−1+51−5−1+50000−1+521−521+5−1−51+5−1−50000−1−521+5200000000000000000000-44-4400002-24-44-40000-221−5−1+51−5−1+50000−1+521−521+5−1−51+5−1−50000−1−521+52−1+51−5−1+51−500001−52−1+52−1−51+5−1−51+500001+52−1−5200000000000000000000
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χ1522222-2-2-2-222-2-2-2-22222-2-2−1−52−1−52−1−52−1−521+521+521+521+52−1−52−1−52−1+52−1+52−1+52−1+521−521−521−521−52−1+52−1+521+521+521+521+52−1−52−1−52−1−52−1−521+521+521−521−521−521−52−1+52−1+52−1+52−1+521−521−5200000000000000000000-2-2-2-22222-2-22222-2-2-2-2221+521+521+521+52−1−52−1−52−1−52−1−521+521+521−521−521−521−52−1+52−1+52−1+52−1+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+521−521−521−521−52−1+52−1+5200000000000000000000
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χ15866-2-2-2-22200-6-62222-2-200−3−352−3−3521+521+521+521+52−1−52−1−5200−3+352−3+3521−521−521−521−52−1+52−1+52003+3523+352−1−52−1−52−1−52−1−521+521+52003−3523−352−1+52−1+52−1+52−1+521−521−520000000000000000000000-6-62222-2-20066-2-2-2-222003+3523+352−1−52−1−52−1−52−1−521+521+52003−3523−352−1+52−1+52−1+52−1+521−521−5200−3−352−3−3521+521+521+521+52−1−52−1−5200−3+352−3+3521−521−521−521−52−1+52−1+520000000000000000000000
χ1596-6-222i−2i−2i2i00-662-2−2i2i2i−2i00−3−3523+3521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ700−3+3523−3521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ19003+352−3−352−1−521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7003−352−3+352−1+521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ190000000000000000000000-662-2−2i2i2i−2i006-6-222i−2i−2i2i003+352−3−352−1−521+52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ7003−352−3+352−1+521−52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ1900−3−3523+3521+52−1−52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ700−3+3523−3521−52−1+52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ190000000000000000000000
χ1606-6-22−2i2i2i−2i00-662-22i−2i−2i2i00−3−3523+3521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ700−3+3523−3521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ19003+352−3−352−1−521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7003−352−3+352−1+521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ190000000000000000000000-662-22i−2i−2i2i006-6-22−2i2i2i−2i003+352−3−352−1−521+52−ζ3−ζ7ζ3+ζ7ζ3+ζ7−ζ3−ζ7003−352−3+352−1+521−52−ζ11−ζ19ζ11+ζ19ζ11+ζ19−ζ11−ζ1900−3−3523+3521+52−1−52ζ3+ζ7−ζ3−ζ7−ζ3−ζ7ζ3+ζ700−3+3523−3521−52−1+52ζ11+ζ19−ζ11−ζ19−ζ11−ζ19ζ11+ζ190000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.