Finite Group Databasebeta

← Group #14298409

Character table — Group #14298409

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111122222222224444444444444444444444444444444444444444448888888888888888888888888888888888881010101010101010101010101010101020202020202020202020202020202020120120120120120120120120
order122222366666662244445666610101010101010121212121212121215153030303030303030303030303030101010102020202020202020303030303030303060606060606060606060606060606060444444441212121212121212444412121212121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii
χ51111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1
χ61111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−iii
χ81111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiii−i−i
χ911111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1i−ii−ii−ii−i
χ1011111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-1−ii−ii−ii−ii
χ1111111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111111-11-1-11-11
χ1211111111111111-1-111-1-11-1-1-1-111111111111-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-11-111-11-1
χ1311111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1i−i−iii−i−ii
χ1411111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-1−iii−i−iii−i
χ1511111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-111111-1-11-111-1
χ1611111111111111-1-1-1-1111-1-1-1-11111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-111-11-1-11
χ17222222-1-1-1-1-1-1-1-12222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000
χ18222222-1-1-1-1-1-1-1-12222222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111-2-2-2-211111111111100000000
χ19222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-1-1-1-100000000
χ20222222-1-1-1-1-1-1-1-122-2-2-2-22-1-1-1-1222222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2-2-2-2-2111111112222-1-1-1-1-1-1-1-1111100000000
χ21222222-1-1-1-1-1-1-1-1-2-222-2-2211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-122-2-2-1-1-1-11111111100000000
χ22222222-1-1-1-1-1-1-1-1-2-222-2-2211112222222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-2-2221111-1-1-1-1-1-1-1-100000000
χ23222222-1-1-1-1-1-1-1-1-2-2-2-2222111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-1-2-2221111-1-1-1-1111100000000
χ24222222-1-1-1-1-1-1-1-1-2-2-2-2222111122222221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-2-2-222221111111122-2-2-1-1-1-11111-1-1-1-100000000
χ252222-2-22-2-2-2-22222-20000222-2-22-2-2-2-222000000002222-2-2-2-2-2-2-2-2222222-2-2000000002222-2-2-2-2000000000000000022-2-222-2-22222-2-2-2-200000000000022-2-200000000
χ262222-2-22-2-2-2-22222-20000222-2-22-2-2-2-222000000002222-2-2-2-2-2-2-2-2222222-2-2000000002222-2-2-2-20000000000000000-2-222-2-222-2-2-2-22222000000000000-2-22200000000
χ272222-2-22-2-2-2-2222-2200002-2-2222-2-2-2-222000000002222-2-2-2-2-2-2-2-22222-2-22200000000-2-2-2-22222000000000000000022-2-2-2-2222222-2-2-2-2000000000000-2-22200000000
χ282222-2-22-2-2-2-2222-2200002-2-2222-2-2-2-222000000002222-2-2-2-2-2-2-2-22222-2-22200000000-2-2-2-222220000000000000000-2-22222-2-2-2-2-2-2222200000000000022-2-200000000
χ292222-2-2-11111-1-1-12-200002-1-1112-2-2-2-222−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111-1-1-1-122-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i322-2-222-2-2-1-1-1-111110000−i3−i3i3i3−i3−i3i3i3-1-11100000000
χ302222-2-2-11111-1-1-12-200002-1-1112-2-2-2-222−i3−i3i3i3−i3−i3i3i3-1-1-1-111111111-1-1-1-122-2-200000000-1-1-1-11111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3-2-222-2-2221111-1-1-1-10000i3i3−i3−i3i3i3−i3−i311-1-100000000
χ312222-2-2-11111-1-1-12-200002-1-1112-2-2-2-222i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111-1-1-1-122-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i322-2-222-2-2-1-1-1-111110000i3i3−i3−i3i3i3−i3−i3-1-11100000000
χ322222-2-2-11111-1-1-12-200002-1-1112-2-2-2-222i3i3−i3−i3i3i3−i3−i3-1-1-1-111111111-1-1-1-122-2-200000000-1-1-1-11111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3-2-222-2-2221111-1-1-1-10000−i3−i3i3i3−i3−i3i3i311-1-100000000
χ332222-2-2-11111-1-1-1-220000211-1-12-2-2-2-222−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i322-2-2-2-222-1-1-1-111110000−i3−i3i3i3i3i3−i3−i311-1-100000000
χ342222-2-2-11111-1-1-1-220000211-1-12-2-2-2-222−i3−i3i3i3i3i3−i3−i3-1-1-1-111111111-1-1-1-1-2-222000000001111-1-1-1-1−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-2-22222-2-21111-1-1-1-10000i3i3−i3−i3−i3−i3i3i3-1-11100000000
χ352222-2-2-11111-1-1-1-220000211-1-12-2-2-2-222i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i322-2-2-2-222-1-1-1-111110000i3i3−i3−i3−i3−i3i3i311-1-100000000
χ362222-2-2-11111-1-1-1-220000211-1-12-2-2-2-222i3i3−i3−i3−i3−i3i3i3-1-1-1-111111111-1-1-1-1-2-222000000001111-1-1-1-1i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-2-22222-2-21111-1-1-1-10000−i3−i3i3i3i3i3−i3−i3-1-11100000000
χ372-2-222-2222-2-2-2-2200002i−2i20000222-2-2-2-200002i−2i2i−2i22222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00002-22-2000000002i−2i002i−2i2i−2i00002-22-200000000
χ382-2-222-2222-2-2-2-2200002i−2i20000222-2-2-2-200002i−2i2i−2i22222222-2-2-2-2-2-2-2-2000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i0000-22-2200000000−2i2i00−2i2i−2i2i0000-22-2200000000
χ392-2-222-2222-2-2-2-220000−2i2i20000222-2-2-2-20000−2i2i−2i2i22222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00002-22-200000000−2i2i00−2i2i−2i2i00002-22-200000000
χ402-2-222-2222-2-2-2-220000−2i2i20000222-2-2-2-20000−2i2i−2i2i22222222-2-2-2-2-2-2-2-200000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i0000-22-22000000002i−2i002i−2i2i−2i0000-22-2200000000
χ412-2-222-2-1-1-11111-100002i−2i2−i3i3−i3i3222-2-2-2-23−33−3−ii−ii-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i3−i3i3i3−i3−i3i3i333−3−333−3−3−i−iii−i−iii00002-22-2−i3−i3i3i3−i3−i3i3i32i−2i00−ii−ii3−33−3-11-1100000000
χ422-2-222-2-1-1-11111-100002i−2i2−i3i3−i3i3222-2-2-2-23−33−3−ii−ii-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i3−i3i3i3−i3−i3i3i333−3−333−3−3−i−iii−i−iii0000-22-22i3i3−i3−i3i3i3−i3−i3−2i2i00i−ii−i−33−331-11-100000000
χ432-2-222-2-1-1-11111-100002i−2i2i3−i3i3−i3222-2-2-2-2−33−33−ii−ii-1-1-1-1-1-1-1-111111111000000002i2i−2i−2ii3i3−i3−i3i3i3−i3−i3−3−333−3−333−i−iii−i−iii00002-22-2i3i3−i3−i3i3i3−i3−i32i−2i00−ii−ii−33−33-11-1100000000
χ442-2-222-2-1-1-11111-100002i−2i2i3−i3i3−i3222-2-2-2-2−33−33−ii−ii-1-1-1-1-1-1-1-111111111000000002i2i−2i−2ii3i3−i3−i3i3i3−i3−i3−3−333−3−333−i−iii−i−iii0000-22-22−i3−i3i3i3−i3−i3i3i3−2i2i00i−ii−i3−33−31-11-100000000
χ452-2-222-2-1-1-11111-10000−2i2i2−i3i3−i3i3222-2-2-2-2−33−33i−ii−i-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3−3−333−3−333ii−i−iii−i−i00002-22-2−i3−i3i3i3−i3−i3i3i3−2i2i00i−ii−i−33−33-11-1100000000
χ462-2-222-2-1-1-11111-10000−2i2i2−i3i3−i3i3222-2-2-2-2−33−33i−ii−i-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3−3−333−3−333ii−i−iii−i−i0000-22-22i3i3−i3−i3i3i3−i3−i32i−2i00−ii−ii3−33−31-11-100000000
χ472-2-222-2-1-1-11111-10000−2i2i2i3−i3i3−i3222-2-2-2-23−33−3i−ii−i-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i333−3−333−3−3ii−i−iii−i−i00002-22-2i3i3−i3−i3i3i3−i3−i3−2i2i00i−ii−i3−33−3-11-1100000000
χ482-2-222-2-1-1-11111-10000−2i2i2i3−i3i3−i3222-2-2-2-23−33−3i−ii−i-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2ii3i3−i3−i3i3i3−i3−i333−3−333−3−3ii−i−iii−i−i0000-22-22−i3−i3i3i3−i3−i3i3i32i−2i00−ii−ii−33−331-11-100000000
χ492-2-22-222-2-222-2-22002i−2i00200002-2-222-2-22i−2i−2i2i00002222-2-2-2-22222-2-2-2-200002i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i0000000000002-2-2200000000002i−2i00002i−2i−2i2i2-2-2200000000
χ502-2-22-222-2-222-2-22002i−2i00200002-2-222-2-22i−2i−2i2i00002222-2-2-2-22222-2-2-2-200002i2i−2i−2i0000000000002i2i−2i−2i−2i−2i2i2i000000000000-222-20000000000−2i2i0000−2i2i2i−2i-222-200000000
χ512-2-22-222-2-222-2-2200−2i2i00200002-2-222-2-2−2i2i2i−2i00002222-2-2-2-22222-2-2-2-20000−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i0000000000002-2-220000000000−2i2i0000−2i2i2i−2i2-2-2200000000
χ522-2-22-222-2-222-2-2200−2i2i00200002-2-222-2-2−2i2i2i−2i00002222-2-2-2-22222-2-2-2-20000−2i−2i2i2i000000000000−2i−2i2i2i2i2i−2i−2i000000000000-222-200000000002i−2i00002i−2i−2i2i-222-200000000
χ532-2-22-22-111-1-111-1002i−2i002−i3i3i3−i32-2-222-2-2−iii−i3−3−33-1-1-1-11111-1-1-1-1111100002i2i−2i−2i0000−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i33−3−3−3−33300002-2-22−i3−i3i3i3i3i3−i3−i3002i−2i3−3−33−iii−i-111-100000000
χ542-2-22-22-111-1-111-1002i−2i002−i3i3i3−i32-2-222-2-2−iii−i3−3−33-1-1-1-11111-1-1-1-1111100002i2i−2i−2i0000−i3−i3i3i3i3i3−i3−i3−i−iiiii−i−i33−3−3−3−3330000-222-2i3i3−i3−i3−i3−i3i3i300−2i2i−333−3i−i−ii1-1-1100000000
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χ12588-8-800-44i3−4i34i3−4i3-444000000-200002−2525−2525-22000000001−i151+i15−1+i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ461−i15−1+i151+i15−1−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ12688-8-800-44i3−4i34i3−4i3-444000000-20000225−2525−25-22000000001+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ581+i15−1−i151−i15−1+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1278-88-80080000-88-8000000-200002−252525−252-200000000-2-222−252525−2525−25−25252-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1288-88-80080000-88-8000000-20000225−25−25252-200000000-2-22225−25−2525−252525−252-22-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1298-88-800-4−4i34i34i3−4i34-44000000-200002−252525−252-2000000001+i151−i15−1−i15−1+i152ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−1−i151+i15−1+i151−i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-800-4−4i34i34i3−4i34-44000000-20000225−25−25252-2000000001−i151+i15−1+i15−1−i152ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−1+i151−i15−1−i151+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-800-44i3−4i3−4i34i34-44000000-200002−252525−252-2000000001−i151+i15−1+i15−1−i15−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ58−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ46−1+i151−i15−1−i151+i150000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-800-44i3−4i3−4i34i34-44000000-20000225−25−25252-2000000001+i151−i15−1−i15−1+i15−2ζ2+2ζ34−2ζ38+2ζ462ζ2−2ζ34+2ζ38−2ζ46−2ζ14+2ζ22−2ζ26+2ζ582ζ14−2ζ22+2ζ26−2ζ582ζ2−2ζ34+2ζ38−2ζ46−2ζ2+2ζ34−2ζ38+2ζ462ζ14−2ζ22+2ζ26−2ζ58−2ζ14+2ζ22−2ζ26+2ζ58−1−i151+i15−1+i151−i150000000000000000000000000000000000000000000000000000000000000000000000000000

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