Finite Group Databasebeta

← Group #11887672

Character table — Group #11887672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117
size11112222222222222222222244444444444444444444444444444444444444444444444444444444444441212121218181818242424242424242424242424242436363636363648484848
order1222334444666666888812121212346668812121212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444442222444444121212121212121244888812121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1111-1-11111-1-1-1-111-1-1-1-111-1-1
χ61111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-11111-1-111
χ71111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-111-1-1-1-1111111-1-1-1-1-1-111
χ81111111111111111-1-1-1-1111111111-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111-1-1-1-1-1-1-11111-1-1111111-1-1
χ9111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-11-1-11-111-1-111-1-11-111-1-11-11-1
χ10111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11-1-1111-1-111-1-1-11-1-111-11-11
χ11111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-11-1-111-1-1111-111-1-1-11-11
χ12111111-1-1111111111111-1-1-1-11-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-111-1-1-111-1-111-11-1-1111-11-1
χ13111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-111-1-1-1111-1-1-1-1111-1-1-1111-1-11
χ14111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1111-11-11-111-1-1-1-111-1111-1-1-111-1
χ15111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-1111-1-1-11111-1-11-1-1-111-111-1
χ16111111-1-111111111-1-1-1-1-1-1-1-11-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111-11-11-11-1-11111-1-1-1111-1-11-1-11
χ1722222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000222200000000000000-2-200000000
χ1822222222-2-2222222000022222-22220022-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-2-2-2000000000000002200000000
χ19222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000000022-2-200000000000000-2200000000
χ20222222-2-2-2-22222220000-2-2-2-22222200-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000000000000000000000000-2-222000000000000002-200000000
χ2122222-122222-122-1-122222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000002202200000000000000-1-1-1-1
χ2222222-122222-122-1-122222222-12-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2-20-2-2000000000000001111
χ2322222-122222-122-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000220-2-200000000000000-1-111
χ2422222-122222-122-1-1-2-2-2-22222-12-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000-2-20220000000000000011-1-1
χ2522222-1-2-2222-122-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111111110000000002-202-200000000000000-11-11
χ2622222-1-2-2222-122-1-12222-2-2-2-2-1-2-1-1-1-2-211-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000-220-22000000000000001-11-1
χ2722222-1-2-2222-122-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-10000000002-20-2200000000000000-111-1
χ2822222-1-2-2222-122-1-1-2-2-2-2-2-2-2-2-1-2-1-1-12211-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000-2202-2000000000000001-1-11
χ292222-122222-12-1-1222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122220000200200-1-1-1-1-1-1-1-10000000000
χ302222-122222-12-1-1222222-1-1-1-1-12-1-1-12222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-20000-200-200111111110000000000
χ312222-122222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-21111111122-2-20000-200200-1-1-1-111110000000000
χ322222-122222-12-1-122-2-2-2-2-1-1-1-1-12-1-1-1-2-222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2220000200-2001111-1-1-1-10000000000
χ332222-12-2-222-12-1-12222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111122220000-200-200-1-111-1-1110000000000
χ342222-12-2-222-12-1-12222221111-1-2-1-1-1-2-2-2-211-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111-2-2-2-2000020020011-1-111-1-10000000000
χ352222-12-2-222-12-1-122-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-122-2-20000200-200-1-11111-1-10000000000
χ362222-12-2-222-12-1-122-2-2-2-21111-1-2-1-1-122-2-211-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-2220000-20020011-1-1-1-1110000000000
χ3722-2-2222-20022-2-2-2-222−2−222-2-2202-2-22−22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200002-22-200000000000000002−22−20000
χ3822-2-2222-20022-2-2-2-222−2−222-2-2202-2-22−22-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−20000-22-220000000000000000−22−220000
χ3922-2-2222-20022-2-2-2-2−2−22222-2-2202-2-2−222-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200002-22-20000000000000000−22−220000
χ4022-2-2222-20022-2-2-2-2−2−22222-2-2202-2-2−222-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−222220000-22-2200000000000000002−22−20000
χ4122-2-222-220022-2-2-2-222−2−2-2-222202-2-2−22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−2222200002-2-2200000000000000002−2−220000
χ4222-2-222-220022-2-2-2-222−2−2-2-222202-2-2−22-220000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−222220000-222-20000000000000000−222−20000
χ4322-2-222-220022-2-2-2-2−2−222-2-222202-2-22−2-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−200002-2-220000000000000000−222−20000
χ4422-2-222-220022-2-2-2-2−2−222-2-222202-2-22−2-220000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−20000-222-200000000000000002−2−220000
χ452-2-2222002-2-2-22-22-22i−2i2i−2i000020-22-200000000000000002-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000002i−2i2-200000000002i−2i002-2000000000000
χ462-2-2222002-2-2-22-22-22i−2i2i−2i000020-22-200000000000000002-22-222-2-22i−2i2i−2i2i−2i2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000−2i2i-220000000000−2i2i00-22000000000000
χ472-2-2222002-2-2-22-22-2−2i2i−2i2i000020-22-200000000000000002-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000002i−2i-2200000000002i−2i00-22000000000000
χ482-2-2222002-2-2-22-22-2−2i2i−2i2i000020-22-200000000000000002-22-222-2-2−2i2i−2i2i−2i2i−2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000−2i2i2-20000000000−2i2i002-2000000000000
χ492-2-22-12002-21-2-112-22i−2i2i−2i3−33−3-101-1100003−3003−33−333−3−3-112-2-1-111−ii−ii2i−2i2i−2i−i−iii−i−iii−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32i−2i2-20000000000−ii−i3i3-113−30000000000
χ502-2-22-12002-21-2-112-22i−2i2i−2i3−33−3-101-1100003−3003−33−333−3−3-112-2-1-111−ii−ii2i−2i2i−2i−i−iii−i−iii−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i-220000000000i−ii3−i31-1−330000000000
χ512-2-22-12002-21-2-112-22i−2i2i−2i−33−33-101-110000−3300−33−33−3−333-112-2-1-111−ii−ii2i−2i2i−2i−i−iii−i−iiii3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i2-20000000000−iii3−i3-11−330000000000
χ522-2-22-12002-21-2-112-22i−2i2i−2i−33−33-101-110000−3300−33−33−3−333-112-2-1-111−ii−ii2i−2i2i−2i−i−iii−i−iiii3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i-220000000000i−i−i3i31-13−30000000000
χ532-2-22-12002-21-2-112-2−2i2i−2i2i3−33−3-101-1100003−3003−33−333−3−3-112-2-1-111i−ii−i−2i2i−2i2iii−i−iii−i−ii3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32i−2i-220000000000−ii−i3i31-1−330000000000
χ542-2-22-12002-21-2-112-2−2i2i−2i2i3−33−3-101-1100003−3003−33−333−3−3-112-2-1-111i−ii−i−2i2i−2i2iii−i−iii−i−ii3−i3i3−i30000i3i3−i3−i3i3i3−i3−i3−2i2i2-20000000000i−ii3−i3-113−30000000000
χ552-2-22-12002-21-2-112-2−2i2i−2i2i−33−33-101-110000−3300−33−33−3−333-112-2-1-111i−ii−i−2i2i−2i2iii−i−iii−i−i−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32i−2i-220000000000−iii3−i31-13−30000000000
χ562-2-22-12002-21-2-112-2−2i2i−2i2i−33−33-101-110000−3300−33−33−3−333-112-2-1-111i−ii−i−2i2i−2i2iii−i−iii−i−i−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i3−2i2i2-20000000000i−i−i3i3-11−330000000000
χ5744444-244-4-44-244-2-200004444-2-4-2-2-200-2-2-4-422-2-2-2-22222-4-42222220000000000000000000000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-244-2-20000-4-4-4-4-24-2-2-2002244-2-22222-2-2-2-2-4-42222220000000000000000000000000000000000000000000000000000000000000000
χ594444-2444-4-4-24-2-2440000-2-2-2-2-2-4-2-2-2004422-4-4-2-2-2-2222222-4-422220000000000000000000000000000000000000000000000000000000000000000
χ604444-24-4-4-4-4-24-2-24400002222-24-2-2-200-4-4-2-2442222-2-2-2-222-4-422220000000000000000000000000000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-24444-2-2-2-21411144-2-2-2-2-2-211111111-2-2-2-21111-2-2-2-2-2-2-2-211111111-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-4-4-4-4-2-2-2-214111-4-4-2-2-2-2-2-211111111-2-2-2-2111122222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-20000-2-2-2-21-411100-2-222221111-1-1-1-12222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-2444422221-4111-4-4222222-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2-2-2-2-21111111122222222-1-1-1-1-1-1-1-100000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-2-4-4-4-422221-411144222222-1-1-1-1-1-1-1-1-2-2-2-2111122222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111100000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-1000000003i−3i3i−3i3i−3i3i−3i00000000−3i3i−3i3i−3i3i−3i3i00000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-200002222141110022-2-2-2-2-1-1-1-111112222-1-1-1-100000000−3i3i−3i3i−3i3i−3i3i000000003i−3i3i−3i3i−3i3i−3i00000000000000000000000000000000
χ6944-4-44-24-4004-2-4-4222222−22−2244-4-4-20-22222−22-220000-2-2220000000000002222−22−22−2−222−2−2−2−222222222−22−22−2−222−2−2−2−2222200000000000000000000000000000000
χ7044-4-44-24-4004-2-4-422−22−22222244-4-4-20-222−2222-220000-2-222000000000000−22−22222222−2−22222−2−2−2−2−22−22222222−2−22222−2−2−2−200000000000000000000000000000000
χ7144-4-44-2-44004-2-4-4222222−22−22-4-444-20-222−22222-2000022-2-20000000000002222−22−22−2−222−2−2−2−22222−22−22222222−2−22222−2−2−2−200000000000000000000000000000000
χ7244-4-44-2-44004-2-4-422−22−222222-4-444-20-22222−222-2000022-2-2000000000000−22−22222222−2−22222−2−2−2−22222−22−22−2−222−2−2−2−2222200000000000000000000000000000000
χ7344-4-4-244-400-2422-4-42222−22−22-2-222-20-22222−224-40000-2-222000000000000−2−2222222−22−22−2−2−2−22222−2−2222222−22−22−2−2−2−2222200000000000000000000000000000000
χ7444-4-4-244-400-2422-4-4−22−222222-2-222-20-222−22224-40000-2-22200000000000022−2−2−22−2222222222−2−2−2−222−2−2−22−2222222222−2−2−2−200000000000000000000000000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.