Finite Group Databasebeta

← Group #11776243

Character table — Group #11776243

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222333344444444444444444444444444444666666666666888888888888888881212121212121212121212121212121212121212122424242424243636363648487272
order12223344446666661212121244443466688881212121212121212121212122424242424242424444412121212121212121212121212242424242424242424242424266888888881212242424242424242444242424248888121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-11111-1-1-1-1-1-111
χ811111111111111111111-1-1-1-111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ9111111-1-1-1-1111111-1-1-1-1111111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i111ii−i−iii−i−i-1-1iiii−i−i−i−i1-1ii−i−iii−i−i1-11-1
χ10111111-1-1-1-1111111-1-1-1-1111111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111-1-1-1-1111-1-1iiiiii−i−i−i−i−i−i111ii−i−i−i−iii-1-1iiii−i−i−i−i-11−i−iii−i−iii-11-11
χ11111111-1-1-1-1111111-1-1-1-1111111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii111−i−iiiii−i−i-1-1−i−i−i−iiiii-11ii−i−iii−i−i-11-11
χ12111111-1-1-1-1111111-1-1-1-1111111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111-1-1-1-1111-1-1−i−i−i−i−i−iiiiiii111−i−iii−i−iii-1-1−i−i−i−iiiii1-1−i−iii−i−iii1-11-1
χ13111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-1-1-1−i−iiiii−i−i11−i−i−i−iiiii1-1ii−i−i−i−iii1-1-11
χ14111111-1-1-1-1111111-1-1-1-1-1-1-1-111111ii−i−i-111-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-11111111-1-1iiiiii−i−i−i−i−i−i-1-1-1−i−iii−i−iii11−i−i−i−iiiii-11−i−iiiii−i−i-111-1
χ15111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-1-1-1ii−i−iii−i−i11iiii−i−i−i−i-11ii−i−i−i−iii-111-1
χ16111111-1-1-1-1111111-1-1-1-1-1-1-1-111111−i−iii-111-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-11111111-1-1−i−i−i−i−i−iiiiiii-1-1-1ii−i−i−i−iii11iiii−i−i−i−i1-1−i−iiiii−i−i1-1-11
χ1722222222-2-2222222222222222-22220000-2-2-2-2-2222222-200000000-2-22222222222-2-2-2-2-2000000000000-2-2-200000000-2-20000000000000000000000
χ1822222222-2-22222222222-2-2-2-22-22220000-2-2-2-2-2222222-20000000022-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000022200000000220000000000000000000000
χ19222222-2-222222222-2-2-2-222222-222200002-2-222-2-2-2-2-2-220000000022-2-22222-2-2-2-2-2-2-222000000000000-2-2-200000000220000000000000000000000
χ20222222-2-222222222-2-2-2-2-2-2-2-22-222200002-2-222-2-2-2-2-2-2200000000-2-222-2-2-2-22222-2-2-22200000000000022200000000-2-20000000000000000000000
χ2122222-1222222-1-1-12-1-1-1-12222-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12-1-1-1-122-1-1-1-122-1-1-1-12-1-122220000-1-1-1-1-1-1-1-1-1-100000000000000
χ2222222-1222222-1-1-12-1-1-1-12222-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-12111111112222-1-1-1-1-1-1-1-12-1-1-1-1-2-21111-2-211112-1-1-2-2-2-20000-1-11111111100000000000000
χ2322222-1222222-1-1-12-1-1-1-1-2-2-2-2-12-1-1-122222-1-1-1-12-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2111111112-1-1-1-122-1-1-1-122-1-1-1-1-211-2-2-2-20000111111111100000000000000
χ2422222-1222222-1-1-12-1-1-1-1-2-2-2-2-12-1-1-1-2-2-2-22-1-1-1-12-1-12-1-1211111111-2-2-2-2111111112-1-1-1-1-2-21111-2-21111-2112222000011-1-1-1-1-1-1-1-100000000000000
χ2522222-122-2-222-1-1-12-1-1-1-12222-1-2-1-1-10000-211112-1-12-1-1-2−i3−i3i3i3−i3−i3i3i3-2-222-1-1-1-1-1-1-1-1-2111100−i3−i3i3i300−i3−i3i3i3-2110000000011−i3−i3i3i3−i3−i3i3i300000000000000
χ2622222-122-2-222-1-1-12-1-1-1-12222-1-2-1-1-10000-211112-1-12-1-1-2i3i3−i3−i3i3i3−i3−i3-2-222-1-1-1-1-1-1-1-1-2111100i3i3−i3−i300i3i3−i3−i3-2110000000011i3i3−i3−i3i3i3−i3−i300000000000000
χ2722222-122-2-222-1-1-12-1-1-1-1-2-2-2-2-1-2-1-1-10000-211112-1-12-1-1-2−i3−i3i3i3−i3−i3i3i322-2-211111111-2111100−i3−i3i3i300−i3−i3i3i32-1-100000000-1-1i3i3−i3−i3i3i3−i3−i300000000000000
χ2822222-122-2-222-1-1-12-1-1-1-1-2-2-2-2-1-2-1-1-10000-211112-1-12-1-1-2i3i3−i3−i3i3i3−i3−i322-2-211111111-2111100i3i3−i3−i300i3i3−i3−i32-1-100000000-1-1−i3−i3i3i3−i3−i3i3i300000000000000
χ2922222-1-2-22222-1-1-1211112222-1-2-1-1-10000211-1-1-211-211233−3−3−3−33322-2-2-1-1-1-11111-211-1-10033−3−300−3−333-21100000000-1-133−3−3−3−33300000000000000
χ3022222-1-2-22222-1-1-1211112222-1-2-1-1-10000211-1-1-211-2112−3−33333−3−322-2-2-1-1-1-11111-211-1-100−3−3330033−3−3-21100000000-1-1−3−33333−3−300000000000000
χ3122222-1-2-22222-1-1-121111-2-2-2-2-1-2-1-1-10000211-1-1-211-211233−3−3−3−333-2-2221111-1-1-1-1-211-1-10033−3−300−3−3332-1-10000000011−3−33333−3−300000000000000
χ3222222-1-2-22222-1-1-121111-2-2-2-2-1-2-1-1-10000211-1-1-211-2112−3−33333−3−3-2-2221111-1-1-1-1-211-1-100−3−3330033−3−32-1-1000000001133−3−3−3−33300000000000000
χ3322222-1-2-2-2-222-1-1-1211112222-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii-2-2-2-2-1-1-1-111112-1-1112i2i−i−i−i−i−2i−2iiiii2-1-12i2i−2i−2i000011−i−i−i−iiiii00000000000000
χ3422222-1-2-2-2-222-1-1-1211112222-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i-2-2-2-2-1-1-1-111112-1-111−2i−2iiiii2i2i−i−i−i−i2-1-1−2i−2i2i2i000011iiii−i−i−i−i00000000000000
χ3522222-1-2-2-2-222-1-1-121111-2-2-2-2-12-1-1-12i2i−2i−2i-2-1-111-211-211-2−i−i−i−iiiii22221111-1-1-1-12-1-1112i2i−i−i−i−i−2i−2iiiii-211−2i−2i2i2i0000-1-1iiii−i−i−i−i00000000000000
χ3622222-1-2-2-2-222-1-1-121111-2-2-2-2-12-1-1-1−2i−2i2i2i-2-1-111-211-211-2iiii−i−i−i−i22221111-1-1-1-12-1-111−2i−2iiiii2i2i−i−i−i−i-2112i2i−2i−2i0000-1-1−i−i−i−iiiii00000000000000
χ372222-122222-1-1222-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000002222000000000022-1-1-1-10000-1-100
χ382222-122222-1-1222-122220000-12-1-1-12222-12222-1-1-1-1-1-1-122222222000000000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000-2-2-2-20000000000-2-2111100001100
χ392222-122222-1-1222-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-1111111111111000000022220000000000-2-2-1-1-1-100001100
χ402222-122222-1-1222-122220000-12-1-1-1-2-2-2-2-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000-1-1-1-1-11111111111110000000-2-2-2-200000000002211110000-1-100
χ412222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii00000002i2i−2i−2i00000000002-2−i−iii0000-1100
χ422222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-12i2i−2i−2i122-2-211111112i2i2i2i−2i−2i−2i−2i000000000000-1-1-111−i−i−i−i−i−iiiiiii0000000−2i−2i2i2i0000000000-22ii−i−i00001-100
χ432222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i00000002i2i−2i−2i0000000000-22−i−iii00001-100
χ442222-12-2-2-2-2-1-1222-1-2-2-2-20000-12-1-1-1−2i−2i2i2i122-2-21111111−2i−2i−2i−2i2i2i2i2i000000000000-1-1-111iiiiii−i−i−i−i−i−i0000000−2i−2i2i2i00000000002-2ii−i−i0000-1100
χ452-22-2222-200-2-22-2-2222-2-22i2i−2i−2i202-2-2000000000-2-2-2222000000000002i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000002−22−20000000000002−22−2−i2i2−i2i20000
χ462-22-2222-200-2-22-2-2222-2-22i2i−2i−2i202-2-2000000000-2-2-2222000000000002i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000−22−22000000000000−22−22i2−i2i2−i20000
χ472-22-2222-200-2-22-2-2222-2-2−2i−2i2i2i202-2-2000000000-2-2-222200000000000−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000002−22−20000000000002−22−2i2−i2i2−i20000
χ482-22-2222-200-2-22-2-2222-2-2−2i−2i2i2i202-2-2000000000-2-2-222200000000000−2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000−22−22000000000000−22−22−i2i2−i2i20000
χ492-22-222-2200-2-22-2-22-2-2222i2i−2i−2i202-2-2000000000222-2-2-200000000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000−i2i2i2−i2000000000000−i2i2i2−i2−222−20000
χ502-22-222-2200-2-22-2-22-2-2222i2i−2i−2i202-2-2000000000222-2-2-200000000000−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000i2−i2−i2i2000000000000i2−i2−i2i22−2−220000
χ512-22-222-2200-2-22-2-22-2-222−2i−2i2i2i202-2-2000000000222-2-2-2000000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000−i2i2i2−i2000000000000−i2i2i2−i22−2−220000
χ522-22-222-2200-2-22-2-22-2-222−2i−2i2i2i202-2-2000000000222-2-2-2000000000002i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000i2−i2−i2i2000000000000i2−i2−i2i2−222−20000
χ532-2-2222002-22-2-22-2-200002i−2i2i−2i20-22-2−i2i2−i2i2-2002-20000002−i2i2−i2i2−i2i2−i2i22i−2i002i−2i2i−2i00000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20002−22−200002i−2i2−22−22−22−200000000000000
χ542-2-2222002-22-2-22-2-200002i−2i2i−2i20-22-2i2−i2i2−i2-2002-20000002i2−i2i2−i2i2−i2i2−i22i−2i002i−2i2i−2i00000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000−22−2200002i−2i−22−22−22−2200000000000000
χ552-2-2222002-22-2-22-2-20000−2i2i−2i2i20-22-2−i2i2−i2i2-2002-20000002−i2i2−i2i2−i2i2−i2i2−2i2i00−2i2i−2i2i00000002-2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000−22−220000−2i2i−22−22−22−2200000000000000
χ562-2-2222002-22-2-22-2-20000−2i2i−2i2i20-22-2i2−i2i2−i2-2002-20000002i2−i2i2−i2i2−i2i2−i2−2i2i00−2i2i−2i2i00000002-2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20002−22−20000−2i2i2−22−22−22−200000000000000
χ572-2-222200-222-2-22-2-200002i−2i2i−2i20-22-22−2−22200-22000000-22−22−2−22−22−2i2i002i−2i2i−2i0000000-222−22−22−2−22−22−22000i2−i2−i2i20000−2i2ii2−i2i2−i2−i2i2−i2i200000000000000
χ582-2-222200-222-2-22-2-200002i−2i2i−2i20-22-2−222−2200-22000000-2−22−222−22−2−2i2i002i−2i2i−2i0000000-22−22−22−222−22−22−2000−i2i2i2−i20000−2i2i−i2i2−i2i2i2−i2i2−i200000000000000
χ592-2-222200-222-2-22-2-20000−2i2i−2i2i20-22-22−2−22200-22000000-22−22−2−22−222i−2i00−2i2i−2i2i0000000-222−22−22−2−22−22−22000−i2i2i2−i200002i−2i−i2i2−i2i2i2−i2i2−i200000000000000
χ602-2-222200-222-2-22-2-20000−2i2i−2i2i20-22-2−222−2200-22000000-2−22−222−22−22i−2i00−2i2i−2i2i0000000-22−22−22−222−22−22−2000i2−i2−i2i200002i−2ii2−i2i2−i2−i2i2−i2i200000000000000
χ612-2-222-1002-22-21-11-23−33−32i−2i2i−2i-101-11−i2i2−i2i2-23−3-1103−303−32ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ72i−2i00−ii−ii−i3i3−i3i303−3-11−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70−i3i32−22−20000−iiζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2300000000000000
χ622-2-222-1002-22-21-11-23−33−32i−2i2i−2i-101-11i2−i2i2−i2-23−3-1103−303−32−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ72i−2i00−ii−ii−i3i3−i3i303−3-11i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70−i3i3−22−220000−ii−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ2300000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.