Finite Group Databasebeta

← Group #13085930

Character table — Group #13085930

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222222244444444444444444444666666668888888810101010101012121212121212121212121212121212121212121212121212121515151518182020202020203030303030303636363660609090
order12223355666666101010101010366615151515303030303030303030303030222266661515303030303030441212121266101010101010101030303030303030303030303030303030444444121212121212441212121220202020121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1111111111111111111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1111111-1-11111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1
χ911-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1i−iii−i−i1-111-1-111-1-11111-1-1-1-11111-1-1-1-1ii−i−i1-1i−iii−i−ii−iii−i−i11-1-1i−ii−i
χ1011-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-11-111-1-11111-1-1-1-1−ii−i−iii1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−i−iii1-1−ii−i−iii−ii−i−iii11-1-1−ii−ii
χ1111-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1i−iii−i−i-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111ii−i−i-11i−iii−i−i−iiii−i−i-1-111−ii−ii
χ1211-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11-1-1111-1-11111-1-1-1-1−ii−i−iii-1111-1-1-1-1111111-1-1-1-1-1-1-1-11111−i−iii-11−ii−i−iiii−i−i−iii-1-111i−ii−i
χ1311-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1i−iii−i−i1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1−i−iii-11i−iii−i−ii−i−i−iii-1-111i−i−ii
χ1411-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1111111-1-1-1-1−ii−i−iii1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1ii−i−i-11−ii−i−iii−iiii−i−i-1-111−iii−i
χ1511-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1i−iii−i−i-11-1-111-1-111-1-1-1-11111-1-1-1-11111−i−iii1-1i−iii−i−i−ii−i−iii11-1-1−iii−i
χ1611-1-1111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-11-11-1-1111111-1-1-1-1−ii−i−iii-11-1-111-1-111-1-1-1-11111-1-1-1-11111ii−i−i1-1−ii−i−iiii−iii−i−i11-1-1i−i−ii
χ17222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+5200000022−1−52−1+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+52000022000000000000−1−52−1+52−1−52−1+520000
χ18222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+5222-2-22222−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-2−1−52−1+52−1−52−1+521+521−521+521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−520000-2-20000000000001+521−521+521−520000
χ19222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+52-2-222-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000221+521−521+521−52−1−52−1+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+520000-2-20000000000001+521−521+521−520000
χ20222222−1−52−1+52222222−1−52−1−52−1+52−1+52−1−52−1+522222−1−52−1−52−1+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+52-2-2-2-2-2-2-2-2−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52000000-2-21+521−521+521−521+521−521+521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52000022000000000000−1−52−1+52−1−52−1+520000
χ21222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+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+52−1−52−1−5200000022−1+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+52−1−52−1−52000022000000000000−1+52−1−52−1+52−1−520000
χ22222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5222-2-22222−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-2−1+52−1−52−1+52−1−521−521+521−521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+520000-2-20000000000001−521+521−521+520000
χ23222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-222-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000221−521+521−521+52−1+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+52−1−52−1−520000-2-20000000000001−521+521−521+520000
χ24222222−1+52−1−52222222−1+52−1+52−1−52−1−52−1+52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-2-2-2-2-2−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52000000-2-21−521+521−521+521−521+521−521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52000022000000000000−1+52−1−52−1+52−1−520000
χ2522222-1222-12-1-12222222-1-1-1-12-12-12-12-122-1-122-1-100220000-1-1-1-1-1-1-1-1222222-1-10000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-12200000000-1-100
χ2622222-1222-12-1-12222222-1-1-1-12-12-12-12-122-1-122-1-100220000-1-1-1-1-1-1-1-1-2-2-2-2-2-2-1-10000222200000000-1-1-1-1-1-1-1-1000000111111-2-2000000001100
χ2722222-1222-12-1-12222222-1-1-1-12-12-12-12-122-1-122-1-100-2-20000-1-1-1-1-1-1-1-1222222110000-2-2-2-20000000011111111000000-1-1-1-1-1-1-2-2000000001100
χ2822222-1222-12-1-12222222-1-1-1-12-12-12-12-122-1-122-1-100-2-20000-1-1-1-1-1-1-1-1-2-2-2-2-2-2110000-2-2-2-200000000111111110000001111112200000000-1-100
χ292222-1222-12-122-1222222-1-1-1-1-12-12-12-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10022220000-1-1-1-1-1-1-1-10000000022220022-1-1-1-100-1-1-1-100000000
χ302222-1222-12-122-1222222-1-1-1-1-12-12-12-12-1-122-1-1222200-1-1-1-1-1-1-1-1-1-1-1-1-2-211110022220000-1-1-1-1-1-1-1-100000000-2-2-2-200-2-2111100111100000000
χ312222-1222-12-122-1222222-1-1-1-1-12-12-12-12-1-122-1-122-2-2001111-1-1-1-1-1-1-1-122-1-1-1-100-2-2-2-200001111111100000000-2-2-2-20022-1-1-1-100111100000000
χ322222-1222-12-122-1222222-1-1-1-1-12-12-12-12-1-122-1-122-2-2001111-1-1-1-1-1-1-1-1-2-2111100-2-2-2-200001111111100000000222200-2-2111100-1-1-1-100000000
χ3322-2-222−1−52−1+5222-2-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-22-222-2-2−1−52−1+52−1−52−1+521+521+521−521−520000002-2−1−52−1+521+521−52−1−52−1+521+521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−5200002-2000000000000−1−52−1+521+521−520000
χ3422-2-222−1−52−1+5222-2-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-2222-2-2−1−52−1+52−1−52−1+521+521+521−521−52000000-22−1−52−1+521+521−521+521−52−1−52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+520000-220000000000001+521−52−1−52−1+520000
χ3522-2-222−1−52−1+5222-2-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-2-2-222−1−52−1+52−1−52−1+521+521+521−521−520000002-21+521−52−1−52−1+52−1−52−1+521+521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−520000-220000000000001+521−52−1−52−1+520000
χ3622-2-222−1−52−1+5222-2-2-2-21+521+521−521−52−1−52−1+5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-22-22-2-222−1−52−1+52−1−52−1+521+521+521−521−52000000-221+521−52−1−52−1+521+521−52−1−52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+5200002-2000000000000−1−52−1+521+521−520000
χ3722-2-222−1+52−1−5222-2-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-22-222-2-2−1+52−1−52−1+52−1−521−521−521+521+520000002-2−1+52−1−521−521+52−1+52−1−521−521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+5200002-2000000000000−1+52−1−521−521+520000
χ3822-2-222−1+52−1−5222-2-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-2222-2-2−1+52−1−52−1+52−1−521−521−521+521+52000000-22−1+52−1−521−521+521−521+52−1+52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−520000-220000000000001−521+52−1+52−1−520000
χ3922-2-222−1+52−1−5222-2-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-2-2-222−1+52−1−52−1+52−1−521−521−521+521+520000002-21−521+52−1+52−1−52−1+52−1−521−521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+520000-220000000000001−521+52−1+52−1−520000
χ4022-2-222−1+52−1−5222-2-2-2-21−521−521+521+52−1+52−1−5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-22-22-2-222−1+52−1−52−1+52−1−521−521−521+521+52000000-221−521+52−1+52−1−521−521+52−1+52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−5200002-2000000000000−1+52−1−521−521+520000
χ4122-2-22-1222-1-211-2-2-2-2-222-1-1112-12-12-12-1-2-211-2-211002-20000-1-1-1-111112i−2i2i2i−2i−2i-11000022-2-200000000-1-1-1-11111000000−ii−i−iii2i−2i00000000−ii00
χ4222-2-22-1222-1-211-2-2-2-2-222-1-1112-12-12-12-1-2-211-2-211002-20000-1-1-1-11111−2i2i−2i−2i2i2i-11000022-2-200000000-1-1-1-11111000000i−iii−i−i−2i2i00000000i−i00
χ4322-2-22-1222-1-211-2-2-2-2-222-1-1112-12-12-12-1-2-211-2-21100-220000-1-1-1-111112i−2i2i2i−2i−2i1-10000-2-222000000001111-1-1-1-1000000−ii−i−iii−2i2i00000000i−i00
χ4422-2-22-1222-1-211-2-2-2-2-222-1-1112-12-12-12-1-2-211-2-21100-220000-1-1-1-11111−2i2i−2i−2i2i2i1-10000-2-222000000001111-1-1-1-1000000i−iii−i−i2i−2i00000000−ii00
χ4522-2-2-1222-121-2-21-2-2-2-222-1-111-12-12-12-1211-2-211-2-22-200-1-111-1-1-1-111112i−2i−i−iii0022-2-20000-1-1-1-11111000000002i2i−2i−2i002i−2i−i−iii00−i−iii00000000
χ4622-2-2-1222-121-2-21-2-2-2-222-1-111-12-12-12-1211-2-211-2-22-200-1-111-1-1-1-11111−2i2iii−i−i0022-2-20000-1-1-1-1111100000000−2i−2i2i2i00−2i2iii−i−i00ii−i−i00000000
χ4722-2-2-1222-121-2-21-2-2-2-222-1-111-12-12-12-1211-2-211-2-2-220011-1-1-1-1-1-111112i−2i−i−iii00-2-22200001111-1-1-1-100000000−2i−2i2i2i002i−2i−i−iii00ii−i−i00000000
χ4822-2-2-1222-121-2-21-2-2-2-222-1-111-12-12-12-1211-2-211-2-2-220011-1-1-1-1-1-11111−2i2iii−i−i00-2-22200001111-1-1-1-1000000002i2i−2i−2i00−2i2iii−i−i00−i−iii00000000
χ492-22-22222-2-22-22-22-22-2-2-22-22-22222-2-2-2-22-22-22-22-20000000022-2-22-22-2000000000000000000000000000000002i−2i2i−2i00000000002i−2i2i−2i00000000
χ502-22-22222-2-22-22-22-22-2-2-22-22-22222-2-2-2-22-22-22-22-20000000022-2-22-22-200000000000000000000000000000000−2i2i−2i2i0000000000−2i2i−2i2i00000000
χ512-22-2-12221-2-1-2212-22-2-2-2-11-11-12-121-21-2-112-2-112-20000−i3i3−i3i3-1-111-11-11003−33−30000000000−i3i3−i3i3−i3i3−i3i3000000002i−2i2i−2i00003−33−300−ii−ii00000000
χ522-22-2-12221-2-1-2212-22-2-2-2-11-11-12-121-21-2-112-2-112-20000−i3i3−i3i3-1-111-11-1100−33−330000000000−i3i3−i3i3−i3i3−i3i300000000−2i2i−2i2i0000−33−3300i−ii−i00000000
χ532-22-2-12221-2-1-2212-22-2-2-2-11-11-12-121-21-2-112-2-112-20000i3−i3i3−i3-1-111-11-11003−33−30000000000i3−i3i3−i3i3−i3i3−i300000000−2i2i−2i2i00003−33−300i−ii−i00000000
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χ1054-4-44-2-244222-22-2-44-44-4-41-1-11-2-2-2-222222-22-22-22-20000000011-1-1-11-1100−2i32i32i3−2i30000000000000000000000000000000000i3−i3−i3i300000000000000
χ1064-4-44-2-244222-22-2-44-44-4-41-1-11-2-2-2-222222-22-22-22-20000000011-1-1-11-11002i3−2i3−2i32i30000000000000000000000000000000000−i3i3i3−i300000000000000
χ1078888-4-4−2−25−2+25-4-4-4-4-4-4−2−25−2−25−2+25−2+25−2−25−2+2522221+51+51−51−51+51+51−51−51+51+51+51+51−51−51−51−500000000−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+520000000000000000000000000000000000000000000000000000000000
χ1088888-4-4−2+25−2−25-4-4-4-4-4-4−2+25−2+25−2−25−2−25−2+25−2−2522221−51−51+51+51−51−51+51+51−51−51−51−51+51+51+51+500000000−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−520000000000000000000000000000000000000000000000000000000000
χ10988-8-8-4-4−2−25−2+25-4-444442+252+252−252−25−2−25−2+2522-2-21+51+51−51−51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000000000
χ11088-8-8-4-4−2+25−2−25-4-444442−252−252+252+25−2+25−2−2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000000000
χ1118-88-8-4-4−2−25−2+2544-44-44−2−252+25−2+252−252+252−252-22-21+51+51−51−5−1−5−1−5−1+5−1+51+5−1−51+5−1−51−5−1+51−5−1+500000000−1−52−1+521+521−52−1−521+52−1+521−520000000000000000000000000000000000000000000000000000000000
χ1128-88-8-4-4−2+25−2−2544-44-44−2+252−25−2−252+252−252+252-22-21−51−51+51+5−1+5−1+5−1−5−1−51−5−1+51−5−1+51+5−1−51+5−1−500000000−1+52−1−521−521+52−1+521−52−1−521+520000000000000000000000000000000000000000000000000000000000
χ1138-8-88-4-4−2−25−2+25444-44-42+25−2−252−25−2+252+252−252-2-221+51+51−51−5−1−5−1−5−1+5−1+5−1−51+5−1−51+5−1+51−5−1+51−500000000−1−52−1+521+521−521+52−1−521−52−1+520000000000000000000000000000000000000000000000000000000000
χ1148-8-88-4-4−2+25−2−25444-44-42−25−2+252+25−2−252−252+252-2-221−51−51+51+5−1+5−1+5−1−5−1−5−1+51−5−1+51−5−1−51+5−1−51+500000000−1+52−1−521−521+521−52−1+521+52−1−520000000000000000000000000000000000000000000000000000000000

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