Finite Group Databasebeta

← Group #11869525

Character table — Group #11869525

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672
order122233446666661212121236668812121212121224242424242424242424242424242424442446688121224242424412121212444222266446666661212121266668812121212121224242424242424242424242424242424442446688121224242424412121212444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-11111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-11111111111111111111111111111111111111111111111-1-1-111-1-1-1-1-1-1-1-1-1-111111-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-111-1-111-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-1-111-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-111-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-111-1-1-1-11
χ81111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111-1-11111-1
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-2000000000000000022-200-2-20022000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-2000000000000000022-200-2-20022000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-22002200-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-22002200-2-2000000000000
χ1122222-1222-1-12-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-10000000022222-1222-1-12-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-100000000
χ1222222-1222-1-12-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-20011-2-21111110000000022222-1222-1-12-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-20011-2-211111100000000
χ1322222-1222-1-12-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122200-1-1-2-2-1-111110000000022222-1222-1-12-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122200-1-1-2-2-1-1111100000000
χ1422222-1222-1-12-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2-200112211-1-1-1-10000000022222-1222-1-12-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2-200112211-1-1-1-100000000
χ1522222-1-2-22-1-12-121111-1-1-1-100-211-21133−3−300003333−3−3−3−322-2001100-1-133−3−30000000022222-1-2-22-1-12-121111-1-1-1-100-211-21133−3−300003333−3−3−3−322-2001100-1-133−3−300000000
χ1622222-1-2-22-1-12-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-2200-1-10011−3−3330000000022222-1-2-22-1-12-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-2200-1-10011−3−33300000000
χ1722222-1-2-22-1-12-121111-1-1-1-100-211-211−3−3330000−3−3−3−3333322-2001100-1-1−3−3330000000022222-1-2-22-1-12-121111-1-1-1-100-211-211−3−3330000−3−3−3−3333322-2001100-1-1−3−33300000000
χ1822222-1-2-22-1-12-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-2200-1-1001133−3−30000000022222-1-2-22-1-12-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-2200-1-1001133−3−300000000
χ192222-1222-122-12-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10002200000000002-1-1-1-10002222-1222-122-12-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10002200000000002-1-1-1-1000
χ202222-1222-122-12-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-211110002222-1222-122-12-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-21111000
χ212222-1222-122-12-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000220000000000-2-1-1110002222-1222-122-12-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000220000000000-2-1-111000
χ222222-1222-122-12-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000-2-20000000000211-1-10002222-1222-122-12-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000-2-20000000000211-1-1000
χ2322-2-22200-22-2-2-22000022-2-22−20000002−22−222−2−222−2−222−2−22i−2i00000−i2i22i−2i−i2i2−i2i20000000022-2-22200-22-2-2-22000022-2-22−20000002−22−222−2−222−2−222−2−22i−2i00000−i2i22i−2i−i2i2−i2i200000000
χ2422-2-22200-22-2-2-22000022-2-22−20000002−22−222−2−222−2−222−2−2−2i2i00000i2−i2−2i2ii2−i2i2−i20000000022-2-22200-22-2-2-22000022-2-22−20000002−22−222−2−222−2−222−2−2−2i2i00000i2−i2−2i2ii2−i2i2−i200000000
χ2522-2-22200-22-2-2-22000022-2-2−22000000−22−22−2−222−2−222−2−2222i−2i00000i2−i22i−2ii2−i2i2−i20000000022-2-22200-22-2-2-22000022-2-2−22000000−22−22−2−222−2−222−2−2222i−2i00000i2−i22i−2ii2−i2i2−i200000000
χ2622-2-22200-22-2-2-22000022-2-2−22000000−22−22−2−222−2−222−2−222−2i2i00000−i2i2−2i2i−i2i2−i2i20000000022-2-22200-22-2-2-22000022-2-2−22000000−22−22−2−222−2−222−2−222−2i2i00000−i2i2−2i2i−i2i2−i2i200000000
χ2722-2-22-100-2-11-2123−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232i−2i000−i3i3−i2i2−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000022-2-22-100-2-11-2123−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232i−2i000−i3i3−i2i2−iiζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ2822-2-22-100-2-11-2123−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−2i2i000i3−i3i2−i2i−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000022-2-22-100-2-11-2123−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23−2i2i000i3−i3i2−i2i−i−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ2922-2-22-100-2-11-2123−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232i−2i000−i3i3i2−i2−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000022-2-22-100-2-11-2123−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232i−2i000−i3i3i2−i2−ii−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ3022-2-22-100-2-11-2123−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2i2i000i3−i3−i2i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000022-2-22-100-2-11-2123−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2i2i000i3−i3−i2i2i−iζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ3122-2-22-100-2-11-212−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72i−2i000i3−i3−i2i2−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000022-2-22-100-2-11-212−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72i−2i000i3−i3−i2i2−iiζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ3222-2-22-100-2-11-212−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−2i2i000−i3i3i2−i2i−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000022-2-22-100-2-11-212−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7−2i2i000−i3i3i2−i2i−i−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ3322-2-22-100-2-11-212−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72i−2i000i3−i3i2−i2−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000022-2-22-100-2-11-212−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72i−2i000i3−i3i2−i2−ii−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ3422-2-22-100-2-11-212−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2i2i000−i3i3−i2i2i−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000022-2-22-100-2-11-212−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2i2i000−i3i3−i2i2i−iζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ352-2-22222-2-2-2-222-222-2-22-2-2200-2-2-222200000000000000000002i−2i000000000002i−2i000002-2-22222-2-2-2-222-222-2-22-2-2200-2-2-222200000000000000000002i−2i000000000002i−2i00000
χ362-2-22222-2-2-2-222-222-2-22-2-2200-2-2-22220000000000000000000−2i2i00000000000−2i2i000002-2-22222-2-2-2-222-222-2-22-2-2200-2-2-22220000000000000000000−2i2i00000000000−2i2i00000
χ372-2-2222-22-2-2-222-2-2-2222-2-2200222-2-2-20000000000000000000000000000000000002i−2i02-2-2222-22-2-2-222-2-2-2222-2-2200222-2-2-20000000000000000000000000000000000002i−2i0
χ382-2-2222-22-2-2-222-2-2-2222-2-2200222-2-2-2000000000000000000000000000000000000−2i2i02-2-2222-22-2-2-222-2-2-2222-2-2200222-2-2-2000000000000000000000000000000000000−2i2i0
χ392-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30002i−2i00000000000−ii3−30002-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i30002i−2i00000000000−ii3−3000
χ402-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000−2i2i00000000000i−i−330002-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000−i3i3−i3i3−i3i3−i3i3−i3i3−i3i3000−2i2i00000000000i−i−33000
χ412-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30002i−2i00000000000−ii−330002-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i30002i−2i00000000000−ii−33000
χ422-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000−2i2i00000000000i−i3−30002-2-22-122-21-2-2-12122-2-2-111-100111-1-1-10000i3−i3i3−i3i3−i3i3−i3i3−i3i3−i3000−2i2i00000000000i−i3−3000
χ434444-24-4-4-244-24-2-4-4-4-4-2-2-2-2002222220000000000000000000000000000000000000004444-24-4-4-244-24-2-4-4-4-4-2-2-2-200222222000000000000000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-2-2-2-2111144-211-211-2-2-2-2-2-2-2-211111111000000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-2111144-211-211-2-2-2-2-2-2-2-21111111100000000000000000000000
χ454444-2-244-2-2-2-2-2-2-2-2-2-21111-4-4-211-21122222222-1-1-1-1-1-1-1-1000000000000000000000004444-2-244-2-2-2-2-2-2-2-2-2-21111-4-4-211-21122222222-1-1-1-1-1-1-1-100000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-12323−23−230000−3−3−3−33333000000000000000000000004444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-12323−23−230000−3−3−3−3333300000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-1−23−23232300003333−3−3−3−3000000000000000000000004444-2-2-4-4-2-2-2-2-2-222221111002-1-12-1-1−23−23232300003333−3−3−3−300000000000000000000000
χ4844-4-4-240024-42-4-20000-2-22222−2200000022−2222−22−2−222−2−222−2−2220000000000000000000000044-4-4-240024-42-4-20000-2-22222−2200000022−2222−22−2−222−2−222−2−22200000000000000000000000
χ4944-4-4-240024-42-4-20000-2-222−2222000000−2222−222222−2−222−2−222−2−20000000000000000000000044-4-4-240024-42-4-20000-2-222−2222000000−2222−222222−2−222−2−222−2−200000000000000000000000
χ5044-4-4-2-2002-2222-223−2323−2311-1-122−220−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ230000000000000000000000044-4-4-2-2002-2222-223−2323−2311-1-122−220−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ2300000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.