Finite Group Databasebeta

← Group #11781580

Character table — Group #11781580

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size1111222222222222222222222222222244444444444444444444444444444444444444444444444444444444412121212121212121212121212121212121212121212121248484848484872727272
order1222334444666666888812121212242424242424242434666881212121212121212121212121212121212121212121224242424242424242424242424242424242424242424242424242424444488881212121212121212242424242424242444121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-1
χ61111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-111-1-111
χ71111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111-111-1-1-1-111
χ81111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-1-11111-1-1
χ92222222-2-222222220000-2-2-2-2000000002-2222002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2000000000000000000000000000022-2-200002222-2-2-2-2000000000000000000
χ102222222-2-222222220000-2-2-2-2000000002-2222002222-2-2-2-22222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000-2-2220000-2-2-2-22222000000000000000000
χ11222222-222-222222222222222222222222-2222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ12222222-222-2222222-2-2-2-22222-2-2-2-2-2-2-2-22-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22222222222220000000000000000000000000000000000
χ13222222-2-2-2-22222220000-2-2-2-2000000002222200-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2000000000000000000000000000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i0000000000
χ14222222-2-2-2-22222220000-2-2-2-2000000002222200-2-2-2-22222-2-2-2-22222-2-2-2-2-2-200000000000000000000000000000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000000
χ1522222-122222-122-1-12222222222222222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000022-1-1-1-10000
χ1622222-122222-122-1-12222222222222222-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-211110000
χ1722222-122222-122-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111111111111111110000000000000000000000002-2-1-1110000
χ1822222-122222-122-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-12-1-1-1-2-2-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111111111111111000000000000000000000000-2211-1-10000
χ1922222-1-222-22-122-1-12222222222222222-1-2-1-1-1-2-211-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000−i3i3−i3i30000
χ2022222-1-222-22-122-1-12222222222222222-1-2-1-1-1-2-211-2-2-2-21111111111-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000000000i3−i3i3−i30000
χ2122222-1-222-22-122-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2-2-21111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000−i3i3i3−i30000
χ2222222-1-222-22-122-1-1-2-2-2-22222-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2-2-21111111111-1-1-1-1-1-12222111111111111-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000i3−i3−i3i30000
χ232222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000
χ242222-122222-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000
χ252222-122222-12-1-122-2-2-2-2-1-1-1-111111111-12-1-1-1-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-2111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000
χ262222-122222-12-1-122-2-2-2-2-1-1-1-111111111-12-1-1-1-2-222-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-211111111-2-2-2-211111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000
χ272222-122-2-22-12-1-122000011113333−3−3−3−3-1-2-1-1-10022-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−322-2-20000-1-1-1-1111133−3−333−3−30000000000
χ282222-122-2-22-12-1-122000011113333−3−3−3−3-1-2-1-1-10022-1-111-2-2-1-1-1-11111-2-2111133−3−300003333−3−3−3−300003333−3−3−3−3-2-22200001111-1-1-1-1−3−333−3−3330000000000
χ292222-122-2-22-12-1-12200001111−3−3−3−33333-1-2-1-1-10022-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−3333322-2-20000-1-1-1-11111−3−333−3−3330000000000
χ302222-122-2-22-12-1-12200001111−3−3−3−33333-1-2-1-1-10022-1-111-2-2-1-1-1-11111-2-21111−3−3330000−3−3−3−333330000−3−3−3−33333-2-22200001111-1-1-1-133−3−333−3−30000000000
χ312222-12-222-2-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-2-2-21111-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000
χ322222-12-222-2-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-2-1-1-1-2-2-2-21111-2-21111111122-1-1-1-111112222-1-1-1-1-1-1-1-1-2-2-2-21111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000
χ332222-12-222-2-12-1-122-2-2-2-2-1-1-1-111111111-1-2-1-1-122-2-21111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000000000
χ342222-12-222-2-12-1-122-2-2-2-2-1-1-1-111111111-1-2-1-1-122-2-21111-2-21111111122-1-1-1-1-1-1-1-1-2-2-2-2111111112222-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000000000
χ352222-12-2-2-2-2-12-1-122000011113333−3−3−3−3-12-1-1-100-2-211-1-1221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−3333300002i2i−2i−2i−i3−i3i3i3i3i3−i3−i3−i−i−i−iiiii0000000000
χ362222-12-2-2-2-2-12-1-122000011113333−3−3−3−3-12-1-1-100-2-211-1-1221111-1-1-1-1-2-21111−3−33300003333−3−3−3−30000−3−3−3−333330000−2i−2i2i2ii3i3−i3−i3−i3−i3i3i3iiii−i−i−i−i0000000000
χ372222-12-2-2-2-2-12-1-12200001111−3−3−3−33333-12-1-1-100-2-211-1-1221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−300002i2i−2i−2ii3i3−i3−i3−i3−i3i3i3−i−i−i−iiiii0000000000
χ382222-12-2-2-2-2-12-1-12200001111−3−3−3−33333-12-1-1-100-2-211-1-1221111-1-1-1-1-2-2111133−3−30000−3−3−3−3333300003333−3−3−3−30000−2i−2i2i2i−i3−i3i3i3i3i3−i3−i3iiii−i−i−i−i0000000000
χ3922-2-222200-2-222-2-2-222−2−2000022−2−222−2−2202-2-22−22-22-2000022-2-200000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−22-2002−22−22-22-200002−22−22−22−20000000000
χ4022-2-222200-2-222-2-2-222−2−2000022−2−222−2−2202-2-22−22-22-2000022-2-200000000002−22−222−2−222−2−222−2−222−2−222−2−222−2−2-2200−22−22-22-220000−22−22−22−220000000000
χ4122-2-222200-2-222-2-2-2−2−2220000−2−222−2−222202-2-2−222-22-2000022-2-20000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−2222-200−22−222-22-20000−22−22−22−220000000000
χ4222-2-222200-2-222-2-2-2−2−2220000−2−222−2−222202-2-2−222-22-2000022-2-20000000000−22−22−2−222−2−222−2−222−2−222−2−222−2−222-22002−22−2-22-2200002−22−22−22−20000000000
χ4322-2-222-2002-222-2-2-222−2−2000022−2−222−2−2202-2-2−22-22-220000-2-2220000000000−22−2222−2−222−2−222−2−2−2−222−2−222−2−222002i−2i−i2i2i2−i200002i−2i2i−2i−i2i2−i2i2i2−i2i2−i20000000000
χ4422-2-222-2002-222-2-2-222−2−2000022−2−222−2−2202-2-2−22-22-220000-2-2220000000000−22−2222−2−222−2−222−2−2−2−222−2−222−2−22200−2i2ii2−i2−i2i20000−2i2i−2i2ii2−i2i2−i2−i2i2−i2i20000000000
χ4522-2-222-2002-222-2-2-2−2−2220000−2−222−2−222202-2-22−2-22-220000-2-22200000000002−22−2−2−222−2−222−2−22222−2−222−2−222−2−2002i−2ii2−i2−i2i200002i−2i2i−2ii2−i2i2−i2−i2i2−i2i20000000000
χ4622-2-222-2002-222-2-2-2−2−2220000−2−222−2−222202-2-22−2-22-220000-2-22200000000002−22−2−2−222−2−222−2−22222−2−222−2−222−2−200−2i2i−i2i2i2−i20000−2i2i−2i2i−i2i2−i2i2i2−i2i2−i20000000000
χ4722-2-2-12200-212-11-2-222−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-10-1112−22-2-113−300-1-11133−3−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ232-2002−22−2-11-11−333−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ4822-2-2-12200-212-11-2-222−2−23−33−3ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-10-1112−22-2-113−300-1-11133−3−30033−3−3ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ2322−2−2ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23-2200−22−221-11-13−3−33−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ4922-2-2-12200-212-11-2-222−2−2−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-10-1112−22-2-11−3300-1-111−3−33300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ72-2002−22−2-11-113−3−33ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ70000000000
χ5022-2-2-12200-212-11-2-222−2−2−33−33ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-10-1112−22-2-11−3300-1-111−3−33300−3−333ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ722−2−2ζ13−ζ23ζ13−ζ23−ζ13+ζ23−ζ13+ζ23ζ5−ζ7ζ5−ζ7−ζ5+ζ7−ζ5+ζ7-2200−22−221-11-1−333−3−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
χ5122-2-2-12200-212-11-2-2−2−2223−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-10-111−222-2-113−300-1-11133−3−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ232-200−22−22-11-11−333−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ230000000000
χ5222-2-2-12200-212-11-2-2−2−2223−33−3−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-10-111−222-2-113−300-1-11133−3−30033−3−3−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−2−222−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23-22002−22−21-11-13−3−33ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ230000000000
χ5322-2-2-12200-212-11-2-2−2−222−33−33−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7-10-111−222-2-11−3300-1-111−3−33300−3−333−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ7−2−222−ζ13+ζ23−ζ13+ζ23ζ13−ζ23ζ13−ζ23−ζ5+ζ7−ζ5+ζ7ζ5−ζ7ζ5−ζ72-200−22−22-11-113−3−33−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ70000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.