Finite Group Databasebeta

← Group #13088985

Character table — Group #13088985

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size112222222222233444444444444444444455666666666668888888888101010101010101212121212121212121212121212121215151818202020202024242424303030303030303636363660609090
order122335566661010443666610101515151530303030303030304424412121212202020201515303030303030303041212121212126101012202020206060606060606060222412121212123030606022466661010202061224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111-11-11111111111111111111111111-1-1-1-111-1-11111111111-1-111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1
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
χ41111111111111111111111111111111111-1-1-11-1111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111-1-11111111111111111111111-11-1-1-1-1-1-1-1-1111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-1-1-1-1-1-111-1-1
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
χ71111111111111-1-11111111111111111111-1-11-11-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-111
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
χ911-11111-1-11111111-1-1-11-1-11111-1-1-1-11111111-1-111-1-1111111-1-111-1-1-1-1-111-1-111111-1-1-1-1-11111-1-1-1-111-11-111-1-111-1-1-1-1111-1-1-1-111-111-1
χ1011-11111-1-11111111-1-1-11-1-11111-1-1-1-1111111-1-1111-1-1111111-1-111-1-1-1-1-111-1-111-1-1-11-1-1111111-1-1-1-1111-1-111-1-1-1-111-11-111-1-111-1-11-1-11
χ1111-11111-1-11111111-1-1-11-1-11111-1-1-1-11111-1-11-1-111-1-1111111-1-111-1-1-1-11-1-111-1-1111-1-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-111-1-1-111-1-1111-1-11
χ1211-11111-1-11111111-1-1-11-1-11111-1-1-1-11111-1-1-1-1111-1-1111111-1-111-1-1-1-11-1-111-1-1-1-1-11-1-1111111-1-1-1-1-1-11-11-1-111-1-1111-11-1-11111-1-1-111-1
χ1311-11111-1-11111-1-11-1-1-11-1-11111-1-1-1-111111111-1-1-111-1-1-1-111-1-111-1-1-1-1-111-1-111111-111-1-1-1-1-1-11111-1-11-1-111-1-111-1-11-11-1-11111-1-1-11-11
χ1411-11111-1-11111-1-11-1-1-11-1-11111-1-1-1-1111111-111-1-111-1-1-1-111-1-111-1-1-1-1-111-1-111-1-1-111111-1-1-1-11111-1-1-11-111-1-1-1-11111-1-1-111-1-1111-11-1
χ1511-11111-1-11111-1-11-1-1-11-1-11111-1-1-1-11111-1-111-1-1-111-1-1-1-111-1-111-1-1-1-11-1-111-1-1111-111-1-1-1-1-1-11111111-11-1-11111-1-1-11-111-1-111-1-11-11-1
χ1611-11111-1-11111-1-11-1-1-11-1-11111-1-1-1-11111-1-1-111-1-111-1-1-1-111-1-111-1-1-1-11-1-111-1-1-1-1-111111-1-1-1-1111111-111-1-111-1-111-1-1111-1-1-1-111-11-11
χ1722222−1−52−1+522222−1−52−1+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+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+5200000002−1−52−1+522−1−52−1+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+522222−1−52−1+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+5200-22-22222−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000-21+521−52-2−1−52−1+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+522222−1−52−1+52-2-222222−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52002-22-2-2-2-21+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+5200000002−1−52−1+5221+521−52−1−52−1+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+522222−1−52−1+52-2-222222−1−52−1+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+520000000-21+521−52-21+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+52−1−522222−1+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+52−1−52002222222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000002−1+52−1−522−1+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+52−1−522222−1+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+52−1−5200-22-22222−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000-21−521+52-2−1+52−1−521−521+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+52−1−522222−1+52−1−52-2-222222−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52002-22-2-2-2-21−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−5200000002−1+52−1−5221−521+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+52−1−522222−1+52−1−52-2-222222−1+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+52−1−52−1−520000000-21−521+52-21−521+521−521+521−521−521+521+521−521−521+521+520022000001−521+521−521+520000000−1+52−1−52−1+52−1−520000
χ252222-122-1-1-122222-12-1-1-122-1-122-1-1-1-122-1-122020-1-1-1-12222-1-122-1-1-1-1-1-12-1-1-1-12200002200-1-1-1-1-1-1-1-122002-1-1-1-10000200-1-1-1-100000000
χ262222-122-1-1-122222-12-1-1-122-1-122-1-1-1-122-1-1-2-2020-1-1-1-12222-1-122-1-1-1-1-1-1-21111-2-200002200-1-1-1-1-1-1-1-1-2-200-211110000-200111100000000
χ272222-122-1-1-1222-2-2-12-1-1-122-1-122-1-1-1-122-1-1220-201111-2-2-2-2-1-122-1-1-1-1-1-12-1-1-1-1220000-2-20011111111-2-2002-1-1-1-10000-200111100000000
χ282222-122-1-1-1222-2-2-12-1-1-122-1-122-1-1-1-122-1-1-2-20-201111-2-2-2-2-1-122-1-1-1-1-1-1-21111-2-20000-2-200111111112200-211110000200-1-1-1-100000000
χ29222-1222222-12200-1-1-1-1-12222-1-12222-1-1222220200000000-1-1-1-1-1-1-1-1-1-122222-1-1-122-10022000000000000-1-1-1-1-1-1-1-1-102200000000-1-100
χ30222-1222222-12200-1-1-1-1-12222-1-12222-1-12222-20-200000000-1-1-1-1-1-1-1-1-1-122222-1-11-2-2100-2-2000000000000-1-1-1-1-111110-2-2000000001100
χ31222-1222222-12200-1-1-1-1-12222-1-12222-1-122-2-220200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-122-1002200000000000011111-1-1-1-10-2-2000000001100
χ32222-1222222-12200-1-1-1-1-12222-1-12222-1-122-2-2-20-200000000-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2111-2-2100-2-200000000000011111111102200000000-1-100
χ3322-222−1−52−1+52-2-222−1−52−1+52222-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+52002-2-222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200000002−1−52−1+52-21+521−521+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
χ3422-222−1−52−1+52-2-222−1−52−1+52222-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+5200-2-2222-2-2−1−52−1−52−1+52−1+52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000000-21+521−5221+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
χ3522-222−1−52−1+52-2-222−1−52−1+52-2-22-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+520022-2-2-2221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−5200000002−1−52−1+52-2−1−52−1+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
χ3622-222−1−52−1+52-2-222−1−52−1+52-2-22-2-2-221+521−52−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1+5200-222-2-2221+521+521−521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−520000000-21+521−522−1−52−1+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
χ3722-222−1+52−1−52-2-222−1+52−1−52222-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−52002-2-222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200000002−1+52−1−52-21−521+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
χ3822-222−1+52−1−52-2-222−1+52−1−52222-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−5200-2-2222-2-2−1+52−1+52−1−52−1−52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000000-21−521+5221−521+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
χ3922-222−1+52−1−52-2-222−1+52−1−52-2-22-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−520022-2-2-2221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+5200000002−1+52−1−52-2−1+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
χ4022-222−1+52−1−52-2-222−1+52−1−52-2-22-2-2-221−521+52−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1−5200-222-2-2221−521−521+521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+520000000-21−521+522−1+52−1−52−1+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
χ4122-22-12211-122222-1-211-1-2-2-1-122111122-1-1220-20-1-1112222-1-1-2-2-1-11111-2-1-111220000-2-200-1-1-1-111112200-2-1-1110000-200-1-11100000000
χ4222-22-12211-122222-1-211-1-2-2-1-122111122-1-1-2-20-20-1-1112222-1-1-2-2-1-11111211-1-1-2-20000-2-200-1-1-1-11111-2-200211-1-1000020011-1-100000000
χ4322-22-12211-1222-2-2-1-211-1-2-2-1-122111122-1-12202011-1-1-2-2-2-2-1-1-2-2-1-11111-2-1-11122000022001111-1-1-1-1-2-200-2-1-111000020011-1-100000000
χ4422-22-12211-1222-2-2-1-211-1-2-2-1-122111122-1-1-2-202011-1-1-2-2-2-2-1-1-2-2-1-11111211-1-1-2-2000022001111-1-1-1-12200211-1-10000-200-1-11100000000
χ4522-2-1222-2-22-12200-1111-1-2-222-1-1-2-2-2-2-1-1222220-200000000-1-111-1-11111-222-2-2-1-1-122100-2-20000000000001-1-111-1-1110-22000000001-100
χ4622-2-1222-2-22-12200-1111-1-2-222-1-1-2-2-2-2-1-12222-20200000000-1-111-1-11111-222-2-2-1-11-2-2-100220000000000001-1-11111-1-102-200000000-1100
χ4722-2-1222-2-22-12200-1111-1-2-222-1-1-2-2-2-2-1-122-2-220-200000000-1-111-1-111112-2-22211-122100-2-2000000000000-111-1-1-1-11102-200000000-1100
χ4822-2-1222-2-22-12200-1111-1-2-222-1-1-2-2-2-2-1-122-2-2-20200000000-1-111-1-111112-2-222111-2-2-10022000000000000-111-1-111-1-10-22000000001-100
χ492-20222200-2-2-2-22i−2i2000-20022220000-2-2-2-22i−2i0002i−2i002i−2i2i−2i2200-2-2000002i−2i002i−2i000000002i−2i2i−2i00002-20002i−2i0000000002-20000000000
χ502-20222200-2-2-2-22i−2i2000-20022220000-2-2-2-2−2i2i0002i−2i002i−2i2i−2i2200-2-200000−2i2i00−2i2i000000002i−2i2i−2i0000-22000−2i2i000000000-220000000000
χ512-20222200-2-2-2-2−2i2i2000-20022220000-2-2-2-22i−2i000−2i2i00−2i2i−2i2i2200-2-2000002i−2i002i−2i00000000−2i2i−2i2i0000-220002i−2i000000000-220000000000
χ522-20222200-2-2-2-2−2i2i2000-20022220000-2-2-2-2−2i2i000−2i2i00−2i2i−2i2i2200-2-200000−2i2i00−2i2i00000000−2i2i−2i2i00002-2000−2i2i0000000002-20000000000
χ532-202-122−i3i31-2-2-22i−2i-10−i3i3100-1-122−i3i3−i3i3-2-2112i−2i000−ii3−32i−2i2i−2i-1-10011−i3i3−i3i30−ii3−32i−2i00000000−ii−ii3−33−32-2000−ii3−30000000-11−i3i300000000
χ542-202-122−i3i31-2-2-22i−2i-10−i3i3100-1-122−i3i3−i3i3-2-211−2i2i000−ii3−32i−2i2i−2i-1-10011−i3i3−i3i30i−i−33−2i2i00000000−ii−ii3−33−3-22000i−i−3300000001-1i3−i300000000
χ552-202-122−i3i31-2-2-2−2i2i-10−i3i3100-1-122−i3i3−i3i3-2-2112i−2i000i−i−33−2i2i−2i2i-1-10011−i3i3−i3i30−ii3−32i−2i00000000i−ii−i−33−33-22000−ii3−300000001-1i3−i300000000
χ562-202-122−i3i31-2-2-2−2i2i-10−i3i3100-1-122−i3i3−i3i3-2-211−2i2i000i−i−33−2i2i−2i2i-1-10011−i3i3−i3i30i−i−33−2i2i00000000i−ii−i−33−332-2000i−i−330000000-11−i3i300000000
χ572-202-122i3−i31-2-2-22i−2i-10i3−i3100-1-122i3−i3i3−i3-2-2112i−2i000−ii−332i−2i2i−2i-1-10011i3−i3i3−i30−ii−332i−2i00000000−ii−ii−33−332-2000−ii−330000000-11i3−i300000000
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χ1058-80-4-4−2−25−2+25−4i34i3442+252−2500202i3−2i3-2001+51−51+51−52ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ462ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ58−1−5−1+5−1−5−1+50000000000000−1−52−1+52001+521−52−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58000000000000000000000000000000000000000000000000000
χ1068-80-4-4−2−25−2+254i3−4i3442+252−250020−2i32i3-2001+51−51+51−5−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−1−5−1+5−1−5−1+50000000000000−1−52−1+52001+521−52ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58000000000000000000000000000000000000000000000000000
χ1078-80-4-4−2+25−2−25−4i34i3442−252+2500202i3−2i3-2001−51+51−51+52ζ2−2ζ22+2ζ38−2ζ58−2ζ2+2ζ22−2ζ38+2ζ582ζ14+2ζ26−2ζ34−2ζ46−2ζ14−2ζ26+2ζ34+2ζ46−1+5−1−5−1+5−1−50000000000000−1+52−1−52001−521+52−ζ2+ζ22−ζ38+ζ58ζ2−ζ22+ζ38−ζ58−ζ14−ζ26+ζ34+ζ46ζ14+ζ26−ζ34−ζ46000000000000000000000000000000000000000000000000000
χ1088-80-4-4−2+25−2−254i3−4i3442−252+250020−2i32i3-2001−51+51−51+5−2ζ2+2ζ22−2ζ38+2ζ582ζ2−2ζ22+2ζ38−2ζ58−2ζ14−2ζ26+2ζ34+2ζ462ζ14+2ζ26−2ζ34−2ζ46−1+5−1−5−1+5−1−50000000000000−1+52−1−52001−521+52ζ2−ζ22+ζ38−ζ58−ζ2+ζ22−ζ38+ζ58ζ14+ζ26−ζ34−ζ46−ζ14−ζ26+ζ34+ζ46000000000000000000000000000000000000000000000000000

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