Finite Group Databasebeta

← Group #14297947

Character table — Group #14297947

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11112222222222444444444444444444444444444444444444444444555588888888888888888888888888888888888810101010101010101010202020202020202020202020202020202020120120120120120120120120
order1222344666121212122456688881010101212151520202020242424242424242430303030303060606060606060602222101020203030303040404040404040406060606012012012012012012012012012012012012012012012012044666612121212246688881212242424242424242444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1ii−i−iii−i−i
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−iii−i−iii
χ51111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-11-11-11-11-1
χ61111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-11-11-11-11
χ71111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111i−i−iii−i−ii
χ81111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111−iii−i−iii−i
χ911111111111111-1-11-1-111-1-1111-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ1011111111111111-1-11-1-111-1-1111-1-11111111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ1111111111111111-1-11-1-111-1-1111-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111ii−i−i−i−iii
χ1211111111111111-1-11-1-111-1-1111-1-11111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111−i−iiiii−i−i
χ1311111111111111-1-11-1-1-1-111111-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-11-1-11-11
χ1411111111111111-1-11-1-1-1-111111-1-1111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-11-111-11-1
χ1511111111111111-1-11-1-1-1-111111-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1i−i−ii−iii−i
χ1611111111111111-1-11-1-1-1-111111-1-1111111-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1−iii−ii−i−ii
χ1722222-2-2222-2-2-2-22-22220000222-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-2222222-2-2222200000000-2-2-2-20000000000000000-2-22222-2-2-2-22-2220000-2-20000000000000000
χ1822222-2-2222-2-2-2-22-22220000222-2-222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2222200000000-2-2-2-2000000000000000022-2-2-2-22222-22-2-20000220000000000000000
χ1922222-2-2222-2-2-2-2-222-2-200002222222-2-2-2-200000000222222-2-2-2-2-2-2-2-22222-2-222-2-2-2-20000000022220000000000000000-2-22222-2-2-2-2-22-2-20000220000000000000000
χ2022222-2-2222-2-2-2-2-222-2-200002222222-2-2-2-200000000222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-2000000002222000000000000000022-2-2-2-222222-2220000-2-20000000000000000
χ212222-122-1-1-1-1-1-1-1222-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-100000000
χ222222-122-1-1-1-1-1-1-1222-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211111111-2-211-2-2-2-2111111111100000000
χ232222-122-1-1-1-1-1-1-1222-1-1-2-2-2-2222-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111122-1-1-1-1-1-1-1-122-1-1-2-2-2-2-1-11111111100000000
χ242222-122-1-1-1-1-1-1-1222-1-1-2-2-2-2222-1-1-1-1222211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-2-211111111-2-211222211-1-1-1-1-1-1-1-100000000
χ252222-122-1-1-1-1-1-1-1-2-221122-2-222211-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-11111111122-1-1-1-1-1-1-1-1-2-21122-2-211-1-1-1-1111100000000
χ262222-122-1-1-1-1-1-1-1-2-221122-2-222211-1-12222-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211112222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-21111111122-1-1-2-222-1-11111-1-1-1-100000000
χ272222-122-1-1-1-1-1-1-1-2-2211-2-22222211-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-211-2-222111111-1-1-1-100000000
χ282222-122-1-1-1-1-1-1-1-2-2211-2-22222211-1-122221111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-2-21111111122-1-122-2-2-1-1-1-1-1-1111100000000
χ292222-1-2-2-1-1-111112-22-1-1000022211-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111222222-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−3-2-2-1-1-1-111112-2-1-100001133−3−333−3−300000000
χ302222-1-2-2-1-1-111112-22-1-1000022211-1-1-2-2-2-233−3−333−3−3-1-1-1-1-1-111111111-2-2-2-222-2-2-1-1-1-10000000011113333−3−3−3−33333−3−3−3−3221111-1-1-1-1-22110000-1-1−3−333−3−33300000000
χ312222-1-2-2-1-1-111112-22-1-1000022211-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111222222-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−33333-2-2-1-1-1-111112-2-1-1000011−3−333−3−33300000000
χ322222-1-2-2-1-1-111112-22-1-1000022211-1-1-2-2-2-2−3−333−3−333-1-1-1-1-1-111111111-2-2-2-222-2-2-1-1-1-1000000001111−3−3−3−33333−3−3−3−33333221111-1-1-1-1-22110000-1-133−3−333−3−300000000
χ332222-1-2-2-1-1-11111-222110000222-1-1-1-1-2-2-2-233−3−3−3−333-1-1-1-1-1-1111111112222-2-222111100000000-1-1-1-13333−3−3−3−3−3−3−3−33333-2-2-1-1-1-11111-22110000-1-133−3−3−3−33300000000
χ342222-1-2-2-1-1-11111-222110000222-1-1-1-1-2-2-2-233−3−3−3−333-1-1-1-1-1-111111111-2-2-2-2-2-222111100000000-1-1-1-13333−3−3−3−3−3−3−3−33333221111-1-1-1-12-2-1-1000011−3−33333−3−300000000
χ352222-1-2-2-1-1-11111-222110000222-1-1-1-1-2-2-2-2−3−33333−3−3-1-1-1-1-1-1111111112222-2-222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−3-2-2-1-1-1-11111-22110000-1-1−3−33333−3−300000000
χ362222-1-2-2-1-1-11111-222110000222-1-1-1-1-2-2-2-2−3−33333−3−3-1-1-1-1-1-111111111-2-2-2-2-2-222111100000000-1-1-1-1−3−3−3−333333333−3−3−3−3221111-1-1-1-12-2-1-100001133−3−3−3−33300000000
χ372-2-2222-2-2-2222-2-200200002i−2i-2-22002222-2-200002i−2i2i−2i-2-2-2-2222222-2-2-2-22-2-220000000000002i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i2-222-2-222-2-20000002i−2i0000002i−2i2i−2i00000000
χ382-2-2222-2-2-2222-2-200200002i−2i-2-22002222-2-200002i−2i2i−2i-2-2-2-2222222-2-2-2-2-222-20000000000002i2i−2i−2i0000000000002i2i−2i−2i2i2i−2i−2i-22-2-222-2-222000000−2i2i000000−2i2i−2i2i00000000
χ392-2-2222-2-2-2222-2-20020000−2i2i-2-22002222-2-20000−2i2i−2i2i-2-2-2-2222222-2-2-2-22-2-22000000000000−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i2-222-2-222-2-2000000−2i2i000000−2i2i−2i2i00000000
χ402-2-2222-2-2-2222-2-20020000−2i2i-2-22002222-2-20000−2i2i−2i2i-2-2-2-2222222-2-2-2-2-222-2000000000000−2i−2i2i2i000000000000−2i−2i2i2i−2i−2i2i2i-22-2-222-2-2220000002i−2i0000002i−2i2i−2i00000000
χ412-2-222-22-2-22-2-222002002-200-2-220022-2-2222-22-20000-2-2-2-222-2-2-2-222222-2-220000000022-2-20000000022-2-222-2-200000000-2222-2-2-2-22200002-200002-22-2000000000000
χ422-2-222-22-2-22-2-222002002-200-2-220022-2-2222-22-20000-2-2-2-222-2-2-2-22222-222-20000000022-2-20000000022-2-222-2-2000000002-2-2-22222-2-20000-220000-22-22000000000000
χ432-2-222-22-2-22-2-22200200-2200-2-220022-2-222-22-220000-2-2-2-222-2-2-2-222222-2-2200000000-2-22200000000-2-222-2-22200000000-2222-2-2-2-2220000-220000-22-22000000000000
χ442-2-222-22-2-22-2-22200200-2200-2-220022-2-222-22-220000-2-2-2-222-2-2-2-22222-222-200000000-2-22200000000-2-222-2-222000000002-2-2-22222-2-200002-200002-22-2000000000000
χ452-2-22-12-211-1-1-111002−i3i3002i−2i-2-22−i3i3-1-122-2-23−3−33−ii−ii1111-1-1-1-1-1-111112-2-220000−i3−i3i3i300002i2i−2i−2i−i3−i3i3i333−3−3−3−333−i−iii−i−iii2-2-1-111-1-11100−i3i3002i−2i−i3i33−3−33−ii−ii00000000
χ462-2-22-12-211-1-1-111002−i3i3002i−2i-2-22−i3i3-1-122-2-23−3−33−ii−ii1111-1-1-1-1-1-11111-222-20000−i3−i3i3i300002i2i−2i−2i−i3−i3i3i333−3−3−3−333−i−iii−i−iii-2211-1-111-1-100i3−i300−2i2ii3−i3−333−3i−ii−i00000000
χ472-2-22-12-211-1-1-111002−i3i300−2i2i-2-22−i3i3-1-122-2-2−333−3i−ii−i1111-1-1-1-1-1-111112-2-220000−i3−i3i3i30000−2i−2i2i2i−i3−i3i3i3−3−33333−3−3ii−i−iii−i−i2-2-1-111-1-11100−i3i300−2i2i−i3i3−333−3i−ii−i00000000
χ482-2-22-12-211-1-1-111002−i3i300−2i2i-2-22−i3i3-1-122-2-2−333−3i−ii−i1111-1-1-1-1-1-11111-222-20000−i3−i3i3i30000−2i−2i2i2i−i3−i3i3i3−3−33333−3−3ii−i−iii−i−i-2211-1-111-1-100i3−i3002i−2ii3−i33−3−33−ii−ii00000000
χ492-2-22-12-211-1-1-111002i3−i3002i−2i-2-22i3−i3-1-122-2-2−333−3−ii−ii1111-1-1-1-1-1-111112-2-220000i3i3−i3−i300002i2i−2i−2ii3i3−i3−i3−3−33333−3−3−i−iii−i−iii2-2-1-111-1-11100i3−i3002i−2ii3−i3−333−3−ii−ii00000000
χ502-2-22-12-211-1-1-111002i3−i3002i−2i-2-22i3−i3-1-122-2-2−333−3−ii−ii1111-1-1-1-1-1-11111-222-20000i3i3−i3−i300002i2i−2i−2ii3i3−i3−i3−3−33333−3−3−i−iii−i−iii-2211-1-111-1-100−i3i300−2i2i−i3i33−3−33i−ii−i00000000
χ512-2-22-12-211-1-1-111002i3−i300−2i2i-2-22i3−i3-1-122-2-23−3−33i−ii−i1111-1-1-1-1-1-111112-2-220000i3i3−i3−i30000−2i−2i2i2ii3i3−i3−i333−3−3−3−333ii−i−iii−i−i2-2-1-111-1-11100i3−i300−2i2ii3−i33−3−33i−ii−i00000000
χ522-2-22-12-211-1-1-111002i3−i300−2i2i-2-22i3−i3-1-122-2-23−3−33i−ii−i1111-1-1-1-1-1-11111-222-20000i3i3−i3−i30000−2i−2i2i2ii3i3−i3−i333−3−3−3−333ii−i−iii−i−i-2211-1-111-1-100−i3i3002i−2i−i3i3−333−3−ii−ii00000000
χ532-2-22-1-2211-111-1-1002−i3i32-200-2-22i3−i3-1-1-2-222-11-11−i3i3i3−i31111-1-11111-1-1-1-12-2-220000−i3−i3i3i322-2-20000i3i3−i3−i3-1-111-1-111−i3−i3i3i3i3i3−i3−i3-22-1-11111-1-100−i3i32-200i3−i3-11-11−i3i3i3−i300000000
χ542-2-22-1-2211-111-1-1002−i3i32-200-2-22i3−i3-1-1-2-222-11-11−i3i3i3−i31111-1-11111-1-1-1-1-222-20000−i3−i3i3i322-2-20000i3i3−i3−i3-1-111-1-111−i3−i3i3i3i3i3−i3−i32-211-1-1-1-11100i3−i3-2200−i3i31-11-1i3−i3−i3i300000000
χ552-2-22-1-2211-111-1-1002−i3i3-2200-2-22i3−i3-1-1-2-2221-11-1i3−i3−i3i31111-1-11111-1-1-1-12-2-220000−i3−i3i3i3-2-2220000i3i3−i3−i311-1-111-1-1i3i3−i3−i3−i3−i3i3i3-22-1-11111-1-100−i3i3-2200i3−i31-11-1i3−i3−i3i300000000
χ562-2-22-1-2211-111-1-1002−i3i3-2200-2-22i3−i3-1-1-2-2221-11-1i3−i3−i3i31111-1-11111-1-1-1-1-222-20000−i3−i3i3i3-2-2220000i3i3−i3−i311-1-111-1-1i3i3−i3−i3−i3−i3i3i32-211-1-1-1-11100i3−i32-200−i3i3-11-11−i3i3i3−i300000000
χ572-2-22-1-2211-111-1-1002i3−i32-200-2-22−i3i3-1-1-2-222-11-11i3−i3−i3i31111-1-11111-1-1-1-12-2-220000i3i3−i3−i322-2-20000−i3−i3i3i3-1-111-1-111i3i3−i3−i3−i3−i3i3i3-22-1-11111-1-100i3−i32-200−i3i3-11-11i3−i3−i3i300000000
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χ1298-88-8-4004-4443−43−434300-20000002-22001−i151+i152i5−2i5−2i52i500000000−1+i151−i15−1−i151+i15−1+i15−1−i152ζ7−2ζ11+2ζ43−2ζ59−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ19+2ζ23−2ζ31+2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000
χ1308-88-8-4004-4443−43−434300-20000002-22001+i151−i15−2i52i52i5−2i500000000−1−i151+i15−1+i151−i15−1−i15−1+i152ζ19−2ζ23+2ζ31−2ζ47−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ7+2ζ11−2ζ43+2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000
χ1318-88-8-4004-44−434343−4300-20000002-22001−i151+i15−2i52i52i5−2i500000000−1+i151−i15−1−i151+i15−1+i15−1−i15−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ59−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ7+2ζ11−2ζ43+2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ19+2ζ23−2ζ31+2ζ470000000000000000000000000000000000000000000000000000000000000000000000000000
χ1328-88-8-4004-44−434343−4300-20000002-22001+i151−i152i5−2i5−2i52i500000000−1−i151+i15−1+i151−i15−1−i15−1+i15−2ζ19+2ζ23−2ζ31+2ζ472ζ19−2ζ23+2ζ31−2ζ47−2ζ7+2ζ11−2ζ43+2ζ592ζ7−2ζ11+2ζ43−2ζ592ζ19−2ζ23+2ζ31−2ζ47−2ζ19+2ζ23−2ζ31+2ζ472ζ7−2ζ11+2ζ43−2ζ59−2ζ7+2ζ11−2ζ43+2ζ590000000000000000000000000000000000000000000000000000000000000000000000000000

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