Finite Group Databasebeta

← Group #13088937

Character table — Group #13088937

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222222233444444444444444444455666666666668888888888101010101010101212121212121212121212121212121215151818202020202024242424303030303030303636363660609090
order123345566101012124436121212151515152020303030306060606044244661212202020201515303060606060606026612121212101012122020202030303030606060602222666121260606060224661212101010106644
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111-1-1111111111111111111111111111-1-1-1-1-1-11111111111-1-111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-11111-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111-1-11-1-1111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1111111111111111111111-111-1-1-1-1-1-1-1-111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-1-111-1-1
χ61111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ71111111111111-1-11111111111111111111-1-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11111-1-111111-1-1-1-1-1-111
χ81111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111111111-1-1
χ91111-1111111-1-11111-1-1-11111-1-11111-1-1-1-111-11-1-1-11111111111-1-1-1-1-1-1-1-1-11111-1-11-111-1-1-1-1-1-11111111-1-1-1-11111-1-11-1-111-1-111-1-11-11-1
χ101111-1111111-1-11111-1-1-11111-1-11111-1-1-1-111-1-11-1-11111111111-1-1-1-1-1-1-1-1-11111-1-1-11-1-111-1-1-1-1111111-11-1-1-111-1-111-11-111-1-1-1-111-11-11
χ111111-1111111-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-11-1-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-11-111-1-1-1-1-1-11111-1-11-1111-1-111-1-1-111-1-11111-1-1-11-11
χ121111-1111111-1-11111-1-1-11111-1-11111-1-1-1-1-1-1-1-11-1-11111111111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-111-1-1-1-11111-1-1-11111-1-1-1-1111-11-1-111-1-1111-11-1
χ131111-1111111-1-1-1-111-1-1-11111-1-11111-1-1-1-11111-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11111111-111-1-11111-1-1-1-1-1-1-11-1-1-11111-1-11-11-1-111-1-1111-1-11
χ141111-1111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1111-1111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1111111-11-1-1111111-1-1-1-1-1-11-1-1-1-111-1-111-111-1-11111-1-1-111-1
χ151111-1111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-111-111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-1111-111-1-11111-1-1-1-111-11111-1-111-1-1-11-111-1-1-1-111-111-1
χ161111-1111111-1-1-1-111-1-1-11111-1-11111-1-1-1-1-1-11-1111-1-1-1-1-1-11111-1-1-1-1-1-1111-1-1-1-111-11-1-1111111-1-1-1-1111-1111-1-1-1-1111-1-111-1-111-1-11-1-11
χ1722222−1−52−1+5222−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002222222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+5222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52002200000−1−52−1+52−1−52−1+520000000−1−52−1+52−1−52−1+520000
χ1822222−1−52−1+5222−1−52−1+52222222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52002-2-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000−1−52−1+52-2-21+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+5200-2-2000001+521−521+521−5200000001+521−521+521−520000
χ1922222−1−52−1+5222−1−52−1+5222-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-222-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−5222−1−52−1+52−1−52−1+521+521+521−521−521+521+521−521−5200-2-200000−1−52−1+52−1−52−1+5200000001+521−521+521−520000
χ2022222−1−52−1+5222−1−52−1+5222-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200-2-2-2-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000001+521−52-2-21+521−521+521−521+521+521−521−521+521+521−521−520022000001+521−521+521−520000000−1−52−1+52−1−52−1+520000
χ2122222−1+52−1−5222−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−5222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52002200000−1+52−1−52−1+52−1−520000000−1+52−1−52−1+52−1−520000
χ2222222−1+52−1−5222−1+52−1−52222222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52002-2-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000−1+52−1−52-2-21−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−5200-2-2000001−521+521−521+5200000001−521+521−521+520000
χ2322222−1+52−1−5222−1+52−1−5222-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-222-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+5222−1+52−1−52−1+52−1−521−521−521+521+521−521−521+521+5200-2-200000−1+52−1−52−1+52−1−5200000001−521+521−521+520000
χ2422222−1+52−1−5222−1+52−1−5222-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200-2-2-2-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000001−521+52-2-21−521+521−521+521−521−521+521+521−521−521+521+520022000001−521+521−521+520000000−1+52−1−52−1+52−1−520000
χ252222-2−1−52−1+5222−1−52−1+52-2-22222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-22-2-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5200000001+521−522-2−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52002-200000−1−52−1+521+521−520000000−1−52−1+521+521−520000
χ262222-2−1−52−1+5222−1−52−1+52-2-22222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−5200-2-22-2-222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521−521+521+521−521−5200000001+521−52-221+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200-22000001+521−52−1−52−1+5200000001+521−52−1−52−1+520000
χ272222-2−1−52−1+5222−1−52−1+52-2-2-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−520022-222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520000000−1−52−1+522-2−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−5200-2200000−1−52−1+521+521−5200000001+521−52−1−52−1+520000
χ282222-2−1−52−1+5222−1−52−1+52-2-2-2-222-2-2-2−1−52−1+52−1−52−1+521+521−52−1−52−1+52−1−52−1+521+521+521−521−52002-2222-2-21+521+521−521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−520000000−1−52−1+52-221+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−52002-2000001+521−52−1−52−1+520000000−1−52−1+521+521−520000
χ292222-2−1+52−1−5222−1+52−1−52-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-22-2-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5200000001−521+522-2−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52002-200000−1+52−1−521−521+520000000−1+52−1−521−521+520000
χ302222-2−1+52−1−5222−1+52−1−52-2-22222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+5200-2-22-2-222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521+521−521−521+521+5200000001−521+52-221−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200-22000001−521+52−1+52−1−5200000001−521+52−1+52−1−520000
χ312222-2−1+52−1−5222−1+52−1−52-2-2-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+520022-222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520000000−1+52−1−522-2−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+5200-2200000−1+52−1−521−521+5200000001−521+52−1+52−1−520000
χ322222-2−1+52−1−5222−1+52−1−52-2-2-2-222-2-2-2−1+52−1−52−1+52−1−521−521+52−1+52−1−52−1+52−1−521−521−521+521+52002-2222-2-21−521−521+521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+520000000−1+52−1−52-221−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+52002-2000001−521+52−1+52−1−520000000−1+52−1−521−521+520000
χ33222-1222-12222200-1-1-1-1-1-1-1222222-1-122222202200000000-1-1-1-1-1-1-1-1-1-1222-1-12200-1-12222000000000000-1-1-1-1-1-1-1-1-122000000000-1-100
χ34222-1222-12222200-1-1-1-1-1-1-1222222-1-12222220-2-200000000-1-1-1-1-1-1-1-1-1-1222-1-1220011-2-2-2-2000000000000-1-1-1-1-11111-2-20000000001100
χ35222-1222-12222200-1-1-1-1-1-1-1222222-1-12222-2-202200000000-1-1-1-1-1-1-1-1-1-1-2-2-211-2-200-1-1222200000000000011111-1-1-1-1-2-20000000001100
χ36222-1222-12222200-1-1-1-1-1-1-1222222-1-12222-2-20-2-200000000-1-1-1-1-1-1-1-1-1-1-2-2-211-2-20011-2-2-2-200000000000011111111122000000000-1-100
χ37222-1-222-1222-2-200-1-1111-1-122-2-222-1-1-2-2-2-22202-200000000-1-1-1-1111111-2-2-2-1-12200-1122-2-2000000000000111-1-1-1-1112-2000000000-1100
χ38222-1-222-1222-2-200-1-1111-1-122-2-222-1-1-2-2-2-2220-2200000000-1-1-1-1111111-2-2-2-1-122001-1-2-222000000000000111-1-111-1-1-220000000001-100
χ39222-1-222-1222-2-200-1-1111-1-122-2-222-1-1-2-2-2-2-2-202-200000000-1-1-1-111111122211-2-200-1122-2-2000000000000-1-1-111-1-111-220000000001-100
χ40222-1-222-1222-2-200-1-1111-1-122-2-222-1-1-2-2-2-2-2-20-2200000000-1-1-1-111111122211-2-2001-1-2-222000000000000-1-1-11111-1-12-2000000000-1100
χ4122-122222-122-1-122-1-12-1-122-1-122-1-122-1-1-1-122200-1-1-1-12222-1-1-1-122-1-1-1-12-1-122-1-122000000-1-1-1-1-1-1-1-122002-1-1-1-10000002-1-1-1-100000000
χ4222-122222-122-1-122-1-12-1-122-1-122-1-122-1-1-1-1-2-2200-1-1-1-12222-1-1-1-122-1-1-1-1-211-2-21122000000-1-1-1-1-1-1-1-1-2-200-21111000000-2111100000000
χ4322-122222-122-1-1-2-2-1-12-1-122-1-122-1-122-1-1-1-122-2001111-2-2-2-2-1-1-1-122-1-1-1-12-1-122-1-1-2-200000011111111-2-2002-1-1-1-1000000-2111100000000
χ4422-122222-122-1-1-2-2-1-12-1-122-1-122-1-122-1-1-1-1-2-2-2001111-2-2-2-2-1-1-1-122-1-1-1-1-211-2-211-2-2000000111111112200-211110000002-1-1-1-100000000
χ4522-12-2222-1221122-1-1-21122-1-1-2-2-1-122111122-20011-1-12222-1-1-1-1-2-21111-21122-1-1-2-20000001111-1-1-1-12200-211-1-1000000-2-1-11100000000
χ4622-12-2222-1221122-1-1-21122-1-1-2-2-1-1221111-2-2-20011-1-12222-1-1-1-1-2-211112-1-1-2-211-2-20000001111-1-1-1-1-2-2002-1-111000000211-1-100000000
χ4722-12-2222-12211-2-2-1-1-21122-1-1-2-2-1-122111122200-1-111-2-2-2-2-1-1-1-1-2-21111-21122-1-122000000-1-1-1-11111-2-200-211-1-1000000211-1-100000000
χ4822-12-2222-12211-2-2-1-1-21122-1-1-2-2-1-1221111-2-2200-1-111-2-2-2-2-1-1-1-1-2-211112-1-1-2-21122000000-1-1-1-1111122002-1-111000000-2-1-11100000000
χ492-222022-2-2-2-2002i−2i2-2000222200-2-2-2-200002i−2i000002i−2i2i−2i2i−2i22-2-20000000002i−2i2i−2i0000000000002i−2i2i−2i2-2000002i−2i00000002-20000000000
χ502-222022-2-2-2-2002i−2i2-2000222200-2-2-2-20000−2i2i000002i−2i2i−2i2i−2i22-2-2000000000−2i2i−2i2i0000000000002i−2i2i−2i-2200000−2i2i0000000-220000000000
χ512-222022-2-2-2-200−2i2i2-2000222200-2-2-2-200002i−2i00000−2i2i−2i2i−2i2i22-2-20000000002i−2i2i−2i000000000000−2i2i−2i2i-22000002i−2i0000000-220000000000
χ522-222022-2-2-2-200−2i2i2-2000222200-2-2-2-20000−2i2i00000−2i2i−2i2i−2i2i22-2-2000000000−2i2i−2i2i000000000000−2i2i−2i2i2-200000−2i2i00000002-20000000000
χ532-2-12022-21-2-23−32i−2i-1103−322-1-10011-2-23−33−32i−2i000−i3i3−ii2i−2i2i−2i-1-111003−33−30−i3i32i−2i−ii00000000−i3i3−i3i3−ii−ii2-2000−i3i3−ii0000000-113−300000000
χ542-2-12022-21-2-23−32i−2i-1103−322-1-10011-2-23−33−3−2i2i000−i3i3−ii2i−2i2i−2i-1-111003−33−30i3−i3−2i2ii−i00000000−i3i3−i3i3−ii−ii-22000i3−i3i−i00000001-1−3300000000
χ552-2-12022-21-2-23−3−2i2i-1103−322-1-10011-2-23−33−32i−2i000i3−i3i−i−2i2i−2i2i-1-111003−33−30−i3i32i−2i−ii00000000i3−i3i3−i3i−ii−i-22000−i3i3−ii00000001-1−3300000000
χ562-2-12022-21-2-23−3−2i2i-1103−322-1-10011-2-23−33−3−2i2i000i3−i3i−i−2i2i−2i2i-1-111003−33−30i3−i3−2i2ii−i00000000i3−i3i3−i3i−ii−i2-2000i3−i3i−i0000000-113−300000000
χ572-2-12022-21-2-2−332i−2i-110−3322-1-10011-2-2−33−332i−2i000i3−i3−ii2i−2i2i−2i-1-11100−33−330i3−i32i−2i−ii00000000i3−i3i3−i3−ii−ii2-2000i3−i3−ii0000000-11−3300000000
χ582-2-12022-21-2-2−332i−2i-110−3322-1-10011-2-2−33−33−2i2i000i3−i3−ii2i−2i2i−2i-1-11100−33−330−i3i3−2i2ii−i00000000i3−i3i3−i3−ii−ii-22000−i3i3i−i00000001-13−300000000
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χ1078-8-4-40−2+25−2−25442−252+2543−43002-20−23231−51+51−51+500−1+5−1−5−1+5−1−52ζ7−2ζ23+2ζ43−2ζ47−2ζ7+2ζ23−2ζ43+2ζ47−2ζ11+2ζ19+2ζ31−2ζ592ζ11−2ζ19−2ζ31+2ζ590000000000000−1+52−1−521−521+5200−ζ7+ζ23−ζ43+ζ47ζ7−ζ23+ζ43−ζ47ζ11−ζ19−ζ31+ζ59−ζ11+ζ19+ζ31−ζ59000000000000000000000000000000000000000000000000000
χ1088-8-4-40−2+25−2−25442−252+25−4343002-2023−231−51+51−51+500−1+5−1−5−1+5−1−5−2ζ7+2ζ23−2ζ43+2ζ472ζ7−2ζ23+2ζ43−2ζ472ζ11−2ζ19−2ζ31+2ζ59−2ζ11+2ζ19+2ζ31−2ζ590000000000000−1+52−1−521−521+5200ζ7−ζ23+ζ43−ζ47−ζ7+ζ23−ζ43+ζ47−ζ11+ζ19+ζ31−ζ59ζ11−ζ19−ζ31+ζ59000000000000000000000000000000000000000000000000000

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