Finite Group Databasebeta

← Group #11794588

Character table — Group #11794588

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444442424242424242424242424242424242424242424242424243636363636363636
order1222222233444466666666666666366666668888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424444444441212121212121212121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ7111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ92222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000022-2-20000
χ102222222222-2-2-2-222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000-2-2220000
χ11222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-1-1-1-1-1000000000000
χ12222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-12222-1-1-1222-1-1-1-1-1-1-12-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000011111111000000000000
χ13222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-2111111111111111111111111000022-2-20000-1-1-1-11111000000000000
χ14222222222-1222222222-1-1-1-1-12-1-12-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-1-2-2-2-2-2-2-2-21111111111111111111111110000-2-22200001111-1-1-1-1000000000000
χ1522222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-100000000-1-1-1-100000000
χ1622222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111100000000111100000000
χ1722222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-111111111-2-2-2-2-2-2-2-2111111111111111122-2-20000111100000000-1-1-1-100000000
χ1822222222-122222-1-1-1-1-122222-122-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2220000-1-1-1-100000000111100000000
χ19222-22-2-2-22222-2-222-2-2-222-2-22-2-2-22222-2-2-2-22000022-222-22222-2-2-2-2-2-2000000000000000000000000000000002-200000000000000000022-2-200000000
χ20222-22-2-2-22222-2-222-2-2-222-2-22-2-2-22222-2-2-2-22000022-222-22222-2-2-2-2-2-200000000000000000000000000000000-22000000000000000000-2-22200000000
χ21222-22-2-2-222-2-22222-2-2-222-2-22-2-2-22222-2-2-2-220000-2-22-2-22-2-2-2-22222220000000000000000000000000000000000002i−2i0000002i2i−2i−2i0000000000000000
χ22222-22-2-2-222-2-22222-2-2-222-2-22-2-2-22222-2-2-2-220000-2-22-2-22-2-2-2-2222222000000000000000000000000000000000000−2i2i000000−2i−2i2i2i0000000000000000
χ23222-22-2-2-22-1-2-22222-2-2-2-1-111-1-2112-1-1-11111-1000011-1-2-221111-1-1-12-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i300002i−2i000000−i−iii33−3−3000000000000
χ24222-22-2-2-22-1-2-22222-2-2-2-1-111-1-2112-1-1-11111-1000011-1-2-221111-1-1-12-1-100000000−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3i3i3i3i30000−2i2i000000ii−i−i−3−333000000000000
χ25222-22-2-2-22-1-2-22222-2-2-2-1-111-1-2112-1-1-11111-1000011-1-2-221111-1-1-12-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i300002i−2i000000−i−iii−3−333000000000000
χ26222-22-2-2-22-1-2-22222-2-2-2-1-111-1-2112-1-1-11111-1000011-1-2-221111-1-1-12-1-100000000i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i30000−2i2i000000ii−i−i33−3−3000000000000
χ27222-22-2-2-2-1222-2-2-1-111122-2-221-2-2-1-1-1-11111-1000022-2-1-11-1-1-1-111-21113333−3−3−3−3000000003333−3−3−3−33333−3−3−3−32-200000033−3−300000000-1-11100000000
χ28222-22-2-2-2-1222-2-2-1-111122-2-221-2-2-1-1-1-11111-1000022-2-1-11-1-1-1-111-21113333−3−3−3−3000000003333−3−3−3−33333−3−3−3−3-22000000−3−3330000000011-1-100000000
χ29222-22-2-2-2-1222-2-2-1-111122-2-221-2-2-1-1-1-11111-1000022-2-1-11-1-1-1-111-2111−3−3−3−3333300000000−3−3−3−33333−3−3−3−333332-2000000−3−33300000000-1-11100000000
χ30222-22-2-2-2-1222-2-2-1-111122-2-221-2-2-1-1-1-11111-1000022-2-1-11-1-1-1-111-2111−3−3−3−3333300000000−3−3−3−33333−3−3−3−33333-2200000033−3−30000000011-1-100000000
χ3122-22-22-2-22200002-222-22-222-2-2-2-2-222-222-2-2-222−2−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−20000000000000000000000002-20022−2−2
χ3222-22-22-2-22200002-222-22-222-2-2-2-2-222-222-2-2-222−2−2000000000000000022−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2000000000000000000000000-2200−2−222
χ3322-22-22-2-22200002-222-22-222-2-2-2-2-222-222-2-2-2−2−2220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−2220000000000000000000000002-200−2−222
χ3422-22-22-2-22200002-222-22-222-2-2-2-2-222-222-2-2-2−2−2220000000000000000−2−222−2−222−2−222−2−222−2−222−2−222−2−222−2−222000000000000000000000000-220022−2−2
χ352-22-2-222-2220000-222-2-2-222-2-222-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000002i−2i2−22−2
χ362-22-2-222-2220000-222-2-2-222-2-222-2-22-222-22-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i200000000000000000000000000−2i2i−22−22
χ372-22-2-222-2220000-222-2-2-222-2-222-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000000000000000000002i−2i−22−22
χ382-22-2-222-2220000-222-2-2-222-2-222-2-22-222-22-2-2i2−i2i2−i20000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i200000000000000000000000000−2i2i2−22−2
χ392-2-222-22-2222-22-2-2-2-22-2-2-2-22222-222-2-2-222-2200002-222-2222-2-222-2-2-2-2000000000000000000000000000000000000002i−2i000000002i−2i2i−2i000000000000
χ402-2-222-22-2222-22-2-2-2-22-2-2-2-22222-222-2-2-222-2200002-222-2222-2-222-2-2-2-200000000000000000000000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ412-2-222-22-222-22-22-2-2-22-2-2-2-22222-222-2-2-222-220000-22-2-22-2-2-222-2-2222200000000000000000000000000000000002-200002-22-200000000000000000000
χ422-2-222-22-222-22-22-2-2-22-2-2-2-22222-222-2-2-222-220000-22-2-22-2-2-222-2-222220000000000000000000000000000000000-220000-22-2200000000000000000000
χ432-2-222-22-22-12-22-2-2-2-22-2111-1-12-112-1111-1-11-10000-11-12-22-1-111-1-11-211000000003−3−33−333−33−3−333−3−33−333−3−333−30000002i−2i0000−i3i3−i3i3−ii−ii000000000000
χ442-2-222-22-22-12-22-2-2-2-22-2111-1-12-112-1111-1-11-10000-11-12-22-1-111-1-11-211000000003−3−33−333−33−3−333−3−33−333−3−333−3000000−2i2i0000i3−i3i3−i3i−ii−i000000000000
χ452-2-222-22-22-12-22-2-2-2-22-2111-1-12-112-1111-1-11-10000-11-12-22-1-111-1-11-21100000000−333−33−3−33−333−3−333−33−3−333−3−330000002i−2i0000i3−i3i3−i3−ii−ii000000000000
χ462-2-222-22-22-12-22-2-2-2-22-2111-1-12-112-1111-1-11-10000-11-12-22-1-111-1-11-21100000000−333−33−3−33−333−3−333−33−3−333−3−33000000−2i2i0000−i3i3−i3i3i−ii−i000000000000
χ472-2-222-22-2-12-22-22111-11-2-2-222-12-2-1-1111-1-11-10000-22-21-1111-1-1112-1-1-1−i3i3i3−i3i3−i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3002-20000-11-1100000000−i3i3−i3i300000000
χ482-2-222-22-2-12-22-22111-11-2-2-222-12-2-1-1111-1-11-10000-22-21-1111-1-1112-1-1-1−i3i3i3−i3i3−i3−i3i300000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i300-2200001-11-100000000i3−i3i3−i300000000
χ492-2-222-22-2-12-22-22111-11-2-2-222-12-2-1-1111-1-11-10000-22-21-1111-1-1112-1-1-1i3−i3−i3i3−i3i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3002-20000-11-1100000000i3−i3i3−i300000000
χ502-2-222-22-2-12-22-22111-11-2-2-222-12-2-1-1111-1-11-10000-22-21-1111-1-1112-1-1-1i3−i3−i3i3−i3i3i3−i300000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i300-2200001-11-100000000−i3i3−i3i300000000
χ512-2-2-222-22222-2-22-2-22-22-2-22-22-2-2222-2-22-2-22200002-2-22-2-222-2-2-2-222220000000000000000000000000000000000000000000000000000000000002-2-22
χ522-2-2-222-22222-2-22-2-22-22-2-22-22-2-2222-2-22-2-22200002-2-22-2-222-2-2-2-22222000000000000000000000000000000000000000000000000000000000000-222-2
χ532-2-2-222-2222-222-2-2-22-22-2-22-22-2-2222-2-22-2-2222i−2i−2i2i-222-222-2-22222-2-2-2-22i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ542-2-2-222-2222-222-2-2-22-22-2-22-22-2-2222-2-22-2-222−2i2i2i−2i-222-222-2-22222-2-2-2-2−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
χ552-2-2-222-222-1-222-2-2-22-2211-11-1-21-12-111-111-1-12i−2i−2i2i1-1-1-22211-1-1-1-11-2112i−2i−2i2i2i−2i−2i2i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i0000000000003−3−33i3−i3−i3i3000000000000
χ562-2-2-222-222-1-222-2-2-22-2211-11-1-21-12-111-111-1-12i−2i−2i2i1-1-1-22211-1-1-1-11-2112i−2i−2i2i2i−2i−2i2i−iii−i−iii−i−iii−i−iii−i−iii−i−iii−i000000000000−333−3−i3i3i3−i3000000000000
χ572-2-2-222-222-1-222-2-2-22-2211-11-1-21-12-111-111-1-1−2i2i2i−2i1-1-1-22211-1-1-1-11-211−2i2i2i−2i−2i2i2i−2ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii0000000000003−3−33−i3i3i3−i3000000000000
χ582-2-2-222-222-1-222-2-2-22-2211-11-1-21-12-111-111-1-1−2i2i2i−2i1-1-1-22211-1-1-1-11-211−2i2i2i−2i−2i2i2i−2ii−i−iii−i−iii−i−iii−i−iii−i−iii−i−ii000000000000−333−3i3−i3−i3i3000000000000
χ592-2-2-222-22-12-222-211-11-1-2-22-221-22-1-111-111-1-12i−2i−2i2i-2221-1-111-1-1-1-1-2111−iii−i−iii−i2i−2i−2i2i2i−2i−2i2i−iii−i−iii−i−iii−i−iii−i000000003−3−3300000000−i3i3i3−i300000000
χ602-2-2-222-22-12-222-211-11-1-2-22-221-22-1-111-111-1-12i−2i−2i2i-2221-1-111-1-1-1-1-2111−iii−i−iii−i2i−2i−2i2i2i−2i−2i2i−iii−i−iii−i−iii−i−iii−i00000000−333−300000000i3−i3−i3i300000000
χ612-2-2-222-22-12-222-211-11-1-2-22-221-22-1-111-111-1-1−2i2i2i−2i-2221-1-111-1-1-1-1-2111i−i−iii−i−ii−2i2i2i−2i−2i2i2i−2ii−i−iii−i−iii−i−iii−i−ii000000003−3−3300000000i3−i3−i3i300000000
χ622-2-2-222-22-12-222-211-11-1-2-22-221-22-1-111-111-1-1−2i2i2i−2i-2221-1-111-1-1-1-1-2111i−i−iii−i−ii−2i2i2i−2i−2i2i2i−2ii−i−iii−i−iii−i−iii−i−ii00000000−333−300000000−i3i3i3−i300000000
χ63444444444-2-4-4-4-444444-2-2-2-2-24-2-24-2-2-2-2-2-2-2-20000222-4-4-42222222-4220000000000000000000000000000000000000000000000000000000000000000
χ6444444444-24-4-4-4-4-2-2-2-2-244444-244-2-2-2-2-2-2-2-2-20000-4-4-4222222222-42220000000000000000000000000000000000000000000000000000000000000000
χ6544444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111114444-2-2-2-2-2-2111111-2-211-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000
χ6644444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111-4-4-4-4-2-2-2-2-2-2111111-2-2112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000
χ6744444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-100000000000000003i3i3i3i−3i−3i−3i−3i−3i−3i−3i−3i3i3i3i3i00000000000000000000000000000000
χ6844444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111110000222222-1-1-1-1-1-122-1-10000000000000000−3i−3i−3i−3i3i3i3i3i3i3i3i3i−3i−3i−3i−3i00000000000000000000000000000000
χ69444-44-4-4-44-244-4-444-4-4-4-2-222-2-4224-2-2-22222-20000-2-2244-4-2-2-2-2222-4220000000000000000000000000000000000000000000000000000000000000000
χ70444-44-4-4-4-24-4-444-2-222244-4-442-4-4-2-2-2-22222-20000-4-4422-22222-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ71444-44-4-4-4-2-244-4-4-2-2222-2-222-2222-2111-1-1-1-110000-2-22-2-221111-1-122-1-123232323−23−23−23−2300000000−3−3−3−33333−3−3−3−3333300000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.