Finite Group Databasebeta

← Group #14296535

Character table — Group #14296535

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111122222244444444444444444444444455558888888888888888888888101010101010161616161616161616161616202020202020202020202020303030303030303040404040606060606060606060606060
order1244234612125688888810121515202024242424303060606060224410202424242430304040404060601201201201201201201201202466121240404040120120120120120120120120688888812242424248888888824242424444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1iiii−i−i−i−iii−i−i
χ41111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1−i−i−i−iiiii−i−iii
χ511111111111111-1-1-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-11111111111-1-111-1-111-1-1-1-1-1-1
χ611111111111111-1-1-1-1111111-1-1-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1111111
χ711111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11111iiii−i−i−i−i-1-111ii−i−i−i−iii−i−iii
χ811111111111111-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-11111-11111−i−i−i−iiiii-1-111−i−iiiii−i−iii−i−i
χ9111111111111-1-111-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-1-1-1-111111111-1-111-1-111-1-111-1-1-1-1
χ10111111111111-1-111-1-1111111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ11111111111111-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-11111iiii−i−i−i−i11-1-1−i−iiiii−i−i−i−iii
χ12111111111111-1-111-1-1111111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-111-1-111-11111−i−i−i−iiiii11-1-1ii−i−i−i−iiiii−i−i
χ13111111111111-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ14111111111111-1-1-1-1111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ15111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1iiii−i−i−i−i1111−i−i−i−iiiiiii−i−i
χ16111111111111-1-1-1-1111111111111111111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1−i−i−i−iiiii1111iiii−i−i−i−i−i−iii
χ1711-1-1-1111-1-11-1i−ii−i1-11111-1-111-1-111-1-1-1-111-1-1-11i−ii−i-1-111-1-1111111-1-1-1-1-1111-1-1i−ii−iii−i−iii−i−i-1i−ii−i1-1111-1-1ii−i−iii−i−ii−ii−i1-11-11-11-1i−ii−i
χ1811-1-1-1111-1-11-1i−ii−i1-11111-1-111-1-111-1-1-1-111-1-1-11i−ii−i-1-111-1-1111111-1-1-1-1-1111-1-1i−ii−iii−i−iii−i−i-1i−ii−i1-1111-1-1−i−iii−i−iiii−ii−i-11-11-11-11−ii−ii
χ1911-1-1-1111-1-11-1i−ii−i1-11111-1-111-1-111-1-1-1-1-1-111-11i−ii−i-1-111-1-1111111-1-1-1-11-1-1-111i−ii−iii−i−iii−i−i1−ii−ii-11-1-1-11111-1-1-1-111−ii−ii−ii−iii−ii−i1-1-11
χ2011-1-1-1111-1-11-1i−ii−i1-11111-1-111-1-111-1-1-1-1-1-111-11i−ii−i-1-111-1-1111111-1-1-1-11-1-1-111i−ii−iii−i−iii−i−i1−ii−ii-11-1-1-111-1-11111-1-1−ii−iii−ii−i−ii−ii-111-1
χ2111-1-1-1111-1-11-1i−i−ii-111111-1-1-1-11111-1-1-1-111-1-1-11i−i−ii-1-1-1-11111-1-1-1-11111-1111-1-1i−i−iiii−i−i−i−iii-1i−i−ii-111-1-111ii−i−iii−i−ii−i−ii1-1-111-1-11−ii−ii
χ2211-1-1-1111-1-11-1i−i−ii-111111-1-1-1-11111-1-1-1-111-1-1-11i−i−ii-1-1-1-11111-1-1-1-11111-1111-1-1i−i−iiii−i−i−i−iii-1i−i−ii-111-1-111−i−iii−i−iiii−i−ii-111-1-111-1i−ii−i
χ2311-1-1-1111-1-11-1i−i−ii-111111-1-1-1-11111-1-1-1-1-1-111-11i−i−ii-1-1-1-11111-1-1-1-111111-1-1-111i−i−iiii−i−i−i−iii1−iii−i1-1-111-1-111-1-1-1-111−iii−i−iii−ii−i−ii-111-1
χ2411-1-1-1111-1-11-1i−i−ii-111111-1-1-1-11111-1-1-1-1-1-111-11i−i−ii-1-1-1-11111-1-1-1-111111-1-1-111i−i−iiii−i−i−i−iii1−iii−i1-1-111-1-1-1-11111-1-1−iii−ii−i−ii−iii−i1-1-11
χ2511-1-1-1111-1-11-1−iii−i-111111-1-1-1-11111-1-1-1-111-1-1-11−iii−i-1-1-1-11111-1-1-1-11111-1111-1-1−iii−i−i−iiiii−i−i-1−iii−i-111-1-111ii−i−iii−i−i−iii−i-111-1-111-1−ii−ii
χ2611-1-1-1111-1-11-1−iii−i-111111-1-1-1-11111-1-1-1-111-1-1-11−iii−i-1-1-1-11111-1-1-1-11111-1111-1-1−iii−i−i−iiiii−i−i-1−iii−i-111-1-111−i−iii−i−iii−iii−i1-1-111-1-11i−ii−i
χ2711-1-1-1111-1-11-1−iii−i-111111-1-1-1-11111-1-1-1-1-1-111-11−iii−i-1-1-1-11111-1-1-1-111111-1-1-111−iii−i−i−iiiii−i−i1i−i−ii1-1-111-1-111-1-1-1-111i−i−iii−i−ii−iii−i-111-1
χ2811-1-1-1111-1-11-1−iii−i-111111-1-1-1-11111-1-1-1-1-1-111-11−iii−i-1-1-1-11111-1-1-1-111111-1-1-111−iii−i−i−iiiii−i−i1i−i−ii1-1-111-1-1-1-11111-1-1i−i−ii−iii−ii−i−ii1-1-11
χ2911-1-1-1111-1-11-1−ii−ii1-11111-1-111-1-111-1-1-1-111-1-1-11−ii−ii-1-111-1-1111111-1-1-1-1-1111-1-1−ii−ii−i−iii−i−iii-1−ii−ii1-1111-1-1ii−i−iii−i−i−ii−ii-11-11-11-11i−ii−i
χ3011-1-1-1111-1-11-1−ii−ii1-11111-1-111-1-111-1-1-1-111-1-1-11−ii−ii-1-111-1-1111111-1-1-1-1-1111-1-1−ii−ii−i−iii−i−iii-1−ii−ii1-1111-1-1−i−iii−i−iii−ii−ii1-11-11-11-1−ii−ii
χ3111-1-1-1111-1-11-1−ii−ii1-11111-1-111-1-111-1-1-1-1-1-111-11−ii−ii-1-111-1-1111111-1-1-1-11-1-1-111−ii−ii−i−iii−i−iii1i−ii−i-11-1-1-11111-1-1-1-111i−ii−ii−ii−i−ii−ii1-1-11
χ3211-1-1-1111-1-11-1−ii−ii1-11111-1-111-1-111-1-1-1-1-1-111-11−ii−ii-1-111-1-1111111-1-1-1-11-1-1-111−ii−ii−i−iii−i−iii1i−ii−i-11-1-1-111-1-11111-1-1i−ii−i−ii−iii−ii−i-111-1
χ3322222-12-1-1-12-12222222-1-1-122-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-100000000-1-1-1-1000000000000
χ3422222-12-1-1-12-12222222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-2-211112222-1-1-1-1-1-1-1-11-2-2-2-2-2-211111000000001111000000000000
χ3522222-12-1-1-12-122-2-2-2-22-1-1-1221111-1-1-1-1-1-1222222-1-111-1-1-2-2-2-2-1-11111111122-1-1-1-122-2-2-1-1-1-11111-122-2-2-2-2-1111100000000-1-111000000000000
χ3622222-12-1-1-12-122-2-2-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-222-1-111-1-1-2-2-2-2-1-111111111-2-2111122-2-2-1-1-1-111111-2-222221-1-1-1-10000000011-1-1000000000000
χ3722222-12-1-1-12-1-2-222-2-22-1-1-1221111-1-1-1-1-1-122222211-1-1-1-1-2-2-2-2-1-11111111122-1-1-1-1-2-2221111-1-1-1-1-1-2-222-2-2-111110000000011-1-1000000000000
χ3822222-12-1-1-12-1-2-222-2-22-1-1-1221111-1-1-1-1-1-1-2-2-2-22211-1-1-1-1-2-2-2-2-1-111111111-2-21111-2-2221111-1-1-1-1122-2-2221-1-1-1-100000000-1-111000000000000
χ3922222-12-1-1-12-1-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-1-12222221111-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-211111111-1-2-2-2-222-1-1-1-1-1000000001111000000000000
χ4022222-12-1-1-12-1-2-2-2-2222-1-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2221111-1-12222-1-1-1-1-1-1-1-1-1-1-2-21111-2-2-2-21111111112222-2-21111100000000-1-1-1-1000000000000
χ412222-22-22222-20000002-2222200002222222222-2-20000-2-20000-2-200000000-2-22222000000000000-2000000-200002-22-22-22-20000000000000000
χ422222-22-22222-20000002-2222200002222222222-2-20000-2-20000-2-200000000-2-22222000000000000-2000000-20000-22-22-22-220000000000000000
χ432222-22-22222-20000002-222220000222222-2-2-2-2-2-20000-2-20000-2-20000000022-2-2-2-20000000000002000000200002i−2i2i−2i−2i2i−2i2i0000000000000000
χ442222-22-22222-20000002-222220000222222-2-2-2-2-2-20000-2-20000-2-20000000022-2-2-2-2000000000000200000020000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ4522-2-222-22-2-2220000002-222-2-2000022-2-2-2-222-2-22-20000220000-2-2000000002-222-2-20000000000002000000-200002i−2i−2i2i2i−2i−2i2i0000000000000000
χ4622-2-222-22-2-2220000002-222-2-2000022-2-2-2-222-2-22-20000220000-2-2000000002-222-2-20000000000002000000-20000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ4722-2-222-22-2-2220000002-222-2-2000022-2-2-2-2-2-2222-20000220000-2-200000000-22-2-222000000000000-2000000200002-2-22-222-20000000000000000
χ4822-2-222-22-2-2220000002-222-2-2000022-2-2-2-2-2-2222-20000220000-2-200000000-22-2-222000000000000-200000020000-222-22-2-220000000000000000
χ4922-2-2-2-12-111212i−2i2i−2i2-22-1-1-1-2-2-1-111-1-1111122-2-2-22−ii−ii1122-2-2-1-1-1-1-1-11111-22-1-1112i−2i2i−2i−i−iii−i−iii12i−2i2i−2i2-2-1-1-11100000000−ii−ii000000000000
χ5022-2-2-2-12-111212i−2i2i−2i2-22-1-1-1-2-2-1-111-1-11111-2-222-22−ii−ii1122-2-2-1-1-1-1-1-111112-211-1-12i−2i2i−2i−i−iii−i−iii-1−2i2i−2i2i-22111-1-100000000i−ii−i000000000000
χ5122-2-2-2-12-111212i−2i−2i2i-222-1-1-1-2-211-1-1-1-1111122-2-2-22−iii−i11-2-222-1-11111-1-1-1-1-22-1-1112i−2i−2i2i−i−iiiii−i−i12i−2i−2i2i-22-111-1-100000000−iii−i000000000000
χ5222-2-2-2-12-111212i−2i−2i2i-222-1-1-1-2-211-1-1-1-11111-2-222-22−iii−i11-2-222-1-11111-1-1-1-12-211-1-12i−2i−2i2i−i−iiiii−i−i-1−2i2i2i−2i2-21-1-11100000000i−i−ii000000000000
χ5322-2-2-2-12-11121−2i2i2i−2i-222-1-1-1-2-211-1-1-1-1111122-2-2-22i−i−ii11-2-222-1-11111-1-1-1-1-22-1-111−2i2i2i−2iii−i−i−i−iii1−2i2i2i−2i-22-111-1-100000000i−i−ii000000000000
χ5422-2-2-2-12-11121−2i2i2i−2i-222-1-1-1-2-211-1-1-1-11111-2-222-22i−i−ii11-2-222-1-11111-1-1-1-12-211-1-1−2i2i2i−2iii−i−i−i−iii-12i−2i−2i2i2-21-1-11100000000−iii−i000000000000
χ5522-2-2-2-12-11121−2i2i−2i2i2-22-1-1-1-2-2-1-111-1-1111122-2-2-22i−ii−i1122-2-2-1-1-1-1-1-11111-22-1-111−2i2i−2i2iii−i−iii−i−i1−2i2i−2i2i2-2-1-1-11100000000i−ii−i000000000000
χ5622-2-2-2-12-11121−2i2i−2i2i2-22-1-1-1-2-2-1-111-1-11111-2-222-22i−ii−i1122-2-2-1-1-1-1-1-111112-211-1-1−2i2i−2i2iii−i−iii−i−i-12i−2i2i−2i-22111-1-100000000−ii−ii000000000000
χ574444444444-14444444-14-1-1-1-14444-1-1-1-1-1-10000-1-14444-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ584444444444-1444-4-4-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-1-144-4-4-1-11111-1-111111111000000-1-111-1-1-1-11111000000000000000000000000000000000000
χ594444444444-14-4-444-4-4-14-1-1-1-1-4-4-4-4-1-1-1-1-1-10000-1-1-4-444-1-11111-1-11111111100000011-1-11111-1-1-1-1000000000000000000000000000000000000
χ604444444444-14-4-4-4-444-14-1-1-1-14444-1-1-1-1-1-10000-1-1-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000111111111111000000000000000000000000000000000000
χ6144444-24-2-2-2-1-2444444-1-21−i1521+i152-1-1-2-2-2-21−i1521+i1521−i1521−i1521+i1521+i1520000-1-1-2-2-2-21−i1521+i152-1-1-1-11−i1521+i1521−i1521−i1521+i1521+i1521−i1521−i1521+i1521+i152000000-1-1-1-11−i1521+i1521−i1521+i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
χ6244444-24-2-2-2-1-2444444-1-21+i1521−i152-1-1-2-2-2-21+i1521−i1521+i1521+i1521−i1521−i1520000-1-1-2-2-2-21+i1521−i152-1-1-1-11+i1521−i1521+i1521+i1521−i1521−i1521+i1521+i1521−i1521−i152000000-1-1-1-11+i1521−i1521+i1521−i1521+i1521−i1521+i1521−i152000000000000000000000000000000000000
χ6344444-24-2-2-2-1-244-4-4-4-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i1520000-1-1-2-2221−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152000000-1-1111−i1521+i1521−i1521+i152−1+i152−1−i152−1+i152−1−i152000000000000000000000000000000000000
χ6444444-24-2-2-2-1-244-4-4-4-4-1-21+i1521−i152-1-122221+i1521−i1521+i1521+i1521−i1521−i1520000-1-1-2-2221+i1521−i15211111+i1521−i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152000000-1-1111+i1521−i1521+i1521−i152−1−i152−1+i152−1−i152−1+i152000000000000000000000000000000000000
χ6544444-24-2-2-2-1-2-4-444-4-4-1-21−i1521+i152-1-122221−i1521+i1521−i1521−i1521+i1521+i1520000-1-122-2-21−i1521+i15211111−i1521+i152−1+i152−1+i152−1−i152−1−i152−1+i152−1+i152−1−i152−1−i15200000011-1-1−1+i152−1−i152−1+i152−1−i1521−i1521+i1521−i1521+i152000000000000000000000000000000000000
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Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.