Finite Group Databasebeta

← Group #11869403

Character table — Group #11869403

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672111122222222222222444444444444444444444444444466121212121212121212121212122424242424363672
order122233446666661212121236668812121212121224242424242424242424242424242424224446688121224242424412121212444222266446666661212121266668812121212121224242424242424242424242424242424224446688121224242424412121212444
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
χ9222222-2-2222222-2-2-2-2222200-2-2-2-2-2-2000000000000000022-2002200-2-2000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-2000000000000000022-2002200-2-2000000000000
χ10222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-2200-2-20022000000000000222222-2-2222222-2-2-2-2222200-2-2-2-2-2-20000000000000000-2-2200-2-20022000000000000
χ1122222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-10000000022222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122200-1-122-1-1-1-1-1-100000000
χ1222222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-20011-2-21111110000000022222-122-1-12-122-1-1-1-1-1-1-1-1222-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-20011-2-211111100000000
χ1322222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122200-1-1-2-2-1-111110000000022222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-21111111122200-1-1-2-2-1-1111100000000
χ1422222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2-200112211-1-1-1-10000000022222-122-1-12-122-1-1-1-1-1-1-1-1-2-22-1-12-1-11111-2-2-2-211111111-2-2-200112211-1-1-1-100000000
χ1522222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−322-200-1-1001133−3−30000000022222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−322-200-1-1001133−3−300000000
χ1622222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-22001100-1-1−3−3330000000022222-1-2-2-1-12-1221111-1-1-1-100-211-21133−3−300003333−3−3−3−3-2-22001100-1-1−3−33300000000
χ1722222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−3333322-200-1-10011−3−3330000000022222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−3333322-200-1-10011−3−33300000000
χ1822222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-22001100-1-133−3−30000000022222-1-2-2-1-12-1221111-1-1-1-100-211-211−3−3330000−3−3−3−33333-2-22001100-1-133−3−300000000
χ192222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10002200000000002-1-1-1-10002222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10002200000000002-1-1-1-1000
χ202222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-211110002222-122222-12-1-12222-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000-2-20000000000-21111000
χ212222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000220000000000-2-1-1110002222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000220000000000-2-1-111000
χ222222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000-2-20000000000211-1-10002222-122222-12-1-12222-1-1-1-1-2-2-1-1-1-1-1-1-2-2-2-2111111111111000-2-20000000000211-1-1000
χ232-22-2222-2-2-222-2-222-2-22-2-2200-2-2-222200000000000000000002i−2i000000000002i−2i000002-22-2222-2-2-222-2-222-2-22-2-2200-2-2-222200000000000000000002i−2i000000000002i−2i00000
χ242-22-2222-2-2-222-2-222-2-22-2-2200-2-2-22220000000000000000000−2i2i00000000000−2i2i000002-22-2222-2-2-222-2-222-2-22-2-2200-2-2-22220000000000000000000−2i2i00000000000−2i2i00000
χ252-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-20000000000000000000000000000000000002i−2i02-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-20000000000000000000000000000000000002i−2i0
χ262-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-2000000000000000000000000000000000000−2i2i02-22-222-22-2-222-2-2-2-2222-2-2200222-2-2-2000000000000000000000000000000000000−2i2i0
χ272-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30002i−2i00000000000−ii3−30002-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30002i−2i00000000000−ii3−3000
χ282-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−2i2i00000000000i−i−330002-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000−2i2i00000000000i−i−33000
χ292-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30002i−2i00000000000−ii−330002-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30002i−2i00000000000−ii−33000
χ302-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−2i2i00000000000i−i3−30002-22-2-122-2-2-2-121122-2-2-111-100111-1-1-10000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000−2i2i00000000000i−i3−3000
χ312-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20002-2−i2i200−i2i2−i2i2000000002-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-20002-2−i2i200−i2i2−i2i200000000
χ322-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22000-22i2−i200i2−i2i2−i2000000002-2-2222002-2-2-22-2000022-2-2−i2i2000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2-22000-22i2−i200i2−i2i2−i200000000
χ332-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20002-2i2−i200i2−i2i2−i2000000002-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-20002-2i2−i200i2−i2i2−i200000000
χ342-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22000-22−i2i200−i2i2−i2i2000000002-2-2222002-2-2-22-2000022-2-2i2−i2000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2-22000-22−i2i200−i2i2−i2i200000000
χ352-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-2000-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ232-2000-11−i2i23−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ362-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-220001-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-222-100-11-212-23−33−3-1-111−i2i203−303−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23-220001-1i2−i2−33−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ372-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-2000-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000002-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ232-2000-11i2−i23−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ382-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-220001-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000002-2-222-100-11-212-23−33−3-1-111i2−i203−303−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23-220001-1−i2i2−33ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ392-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-2000-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ72-2000-11−i2i2−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ402-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-220001-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-222-100-11-212-2−33−33-1-111−i2i20−330−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7-220001-1i2−i23−3−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ412-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-2000-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000002-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ72-2000-11i2−i2−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ422-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-220001-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000002-2-222-100-11-212-2−33−33-1-111i2−i20−330−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7-220001-1−i2i23−3ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.