Finite Group Databasebeta

← Group #11865716

Character table — Group #11865716

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672
order1222334466666612121212366688121212121212242424242424242424242424242424244444488121212122424242441212121244222226644666666121212126666881212121212122424242424242424242424242424242444444881212121224242424412121212442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-11111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-111111-1-1-1
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
χ51111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-111-1-111-1
χ61111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11-1-111-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1-11111-1-1-1-11-1-111-1-11
χ71111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-1-1-111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-11111-111-1-1-1-11
χ81111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-11111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111-1-11111-1
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002200-20022-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-200000000000000002200-20022-2-2000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-200200-2-222000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-200200-2-222000000000000
χ1122222-12222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200222-1-1-1-1-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200222-1-1-1-1-1-1-1-100000000
χ1222222-12222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-2111111110000000022222-12222-1-1-12-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-200-2-2-21111111100000000
χ1322222-12222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122002-2-2-1-1-1-111110000000022222-12222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122002-2-2-1-1-1-1111100000000
χ1422222-12222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-200-2221111-1-1-1-10000000022222-12222-1-1-12-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-200-2221111-1-1-1-100000000
χ1522222-1-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−32200-200-1-11133−3−30000000022222-1-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−32200-200-1-11133−3−300000000
χ1622222-1-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-20020011-1-1−3−3330000000022222-1-2-222-1-1-121111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-20020011-1-1−3−33300000000
χ1722222-1-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−333332200-200-1-111−3−3330000000022222-1-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−333332200-200-1-111−3−33300000000
χ1822222-1-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-20020011-1-133−3−30000000022222-1-2-222-1-1-121111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-20020011-1-133−3−300000000
χ192222-1222-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000000002-1-1-1-10002222-1222-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000000000002-1-1-1-1000
χ202222-1222-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-211110002222-1222-1-1222-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-200000000000-21111000
χ212222-1222-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111002200000000000-2-1-1110002222-1222-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111002200000000000-2-1-111000
χ222222-1222-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100-2-200000000000211-1-10002222-1222-1-1222-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-211111111111100-2-200000000000211-1-1000
χ232-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-20000000000000000000000000000000000002i−2i02-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-20000000000000000000000000000000000002i−2i0
χ242-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-2000000000000000000000000000000000000−2i2i02-22-2222-2-2-22-2-2222-2-22-2-2200222-2-2-2000000000000000000000000000000000000−2i2i0
χ252-22-222-22-2-22-2-22-2-2222-2-2200-2-2-22220000000000000000002-20000000000002-2000002-22-222-22-2-22-2-22-2-2222-2-2200-2-2-22220000000000000000002-20000000000002-200000
χ262-22-222-22-2-22-2-22-2-2222-2-2200-2-2-2222000000000000000000-22000000000000-22000002-22-222-22-2-22-2-22-2-2222-2-2200-2-2-2222000000000000000000-22000000000000-2200000
χ272-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-2000000000000-11−i3i30002-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3002-2000000000000-11−i3i3000
χ282-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-220000000000001-1i3−i30002-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300-220000000000001-1i3−i3000
χ292-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-2000000000000-11i3−i30002-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3002-2000000000000-11i3−i3000
χ302-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-220000000000001-1−i3i30002-22-2-12-22112-2-2-1-2-222-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300-220000000000001-1−i3i3000
χ312-2-2222002-2-22-2-2000022-2-22−20000002−22−22−22−22−22−22−22−22i−2i000−i2i22i−2i00−i2i2−i2i2000000002-2-2222002-2-22-2-2000022-2-22−20000002−22−22−22−22−22−22−22−22i−2i000−i2i22i−2i00−i2i2−i2i200000000
χ322-2-2222002-2-22-2-2000022-2-22−20000002−22−22−22−22−22−22−22−2−2i2i000i2−i2−2i2i00i2−i2i2−i2000000002-2-2222002-2-22-2-2000022-2-22−20000002−22−22−22−22−22−22−22−2−2i2i000i2−i2−2i2i00i2−i2i2−i200000000
χ332-2-2222002-2-22-2-2000022-2-2−22000000−22−22−22−22−22−22−22−222i−2i000i2−i22i−2i00i2−i2i2−i2000000002-2-2222002-2-22-2-2000022-2-2−22000000−22−22−22−22−22−22−22−222i−2i000i2−i22i−2i00i2−i2i2−i200000000
χ342-2-2222002-2-22-2-2000022-2-2−22000000−22−22−22−22−22−22−22−22−2i2i000−i2i2−2i2i00−i2i2−i2i2000000002-2-2222002-2-22-2-2000022-2-2−22000000−22−22−22−22−22−22−22−22−2i2i000−i2i2−2i2i00−i2i2−i2i200000000
χ352-2-222-1002-21-11-23−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232i−2i000−i2i2−ii−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-222-1002-21-11-23−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ232i−2i000−i2i2−ii−i3i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ362-2-222-1002-21-11-23−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2i2i000i2−i2i−ii3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-222-1002-21-11-23−33−3-1-1112−203−303−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23−2i2i000i2−i2i−ii3−i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ372-2-222-1002-21-11-23−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232i−2i000i2−i2−ii−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-222-1002-21-11-23−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ232i−2i000i2−i2−ii−i3i3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ382-2-222-1002-21-11-23−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2i2i000−i2i2i−ii3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-222-1002-21-11-23−33−3-1-111−2203−303−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−2i2i000−i2i2i−ii3−i3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ392-2-222-1002-21-11-2−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72i−2i000−i2i2−iii3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-222-1002-21-11-2−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ72i−2i000−i2i2−iii3−i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ402-2-222-1002-21-11-2−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2i2i000i2−i2i−i−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-222-1002-21-11-2−33−33-1-1112−20−330−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ72−22−2ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7−2i2i000i2−i2i−i−i3i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ412-2-222-1002-21-11-2−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72i−2i000i2−i2−iii3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-222-1002-21-11-2−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ72i−2i000i2−i2−iii3−i3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ422-2-222-1002-21-11-2−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2i2i000−i2i2i−i−i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-222-1002-21-11-2−33−33-1-111−220−330−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−22−22−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−2i2i000−i2i2i−i−i3i3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
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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
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χ5144-4-4-24002-2-4-4420000-22-22000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i60000000000000000000000044-4-4-24002-2-4-4420000-22-22000000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i600000000000000000000000
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χ1324-44-4-2-2-4422-222-222-2-21-1-11002-1-1-21100002i32i3−2i3−2i3−i3−i3i3i3−i3−i3i3i300000000000000000000000-44-44224-4-2-22-2-22-2-222-111-100-2112-1-10000−2i3−2i32i32i3i3i3−i3−i3i3i3−i3−i300000000000000000000000
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χ1354-4-44-2-200-222-22223−2323−2311-1-122−220−330−332ζ5−2ζ7−2ζ5+2ζ72ζ13−2ζ23−2ζ13+2ζ23−22−22−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ13−ζ2300000000000000000000000-444-422002-2-22-2-2−2323−2323-1-111−222203−303−3−2ζ5+2ζ72ζ5−2ζ7−2ζ13+2ζ232ζ13−2ζ232−22−2ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ13+ζ2300000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.