Finite Group Databasebeta

← Group #11790114

Character table — Group #11790114

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222222233444466666666666666888888883666666612121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444444444888888884444444412121212121212121212121212121212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ91-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1i−ii−i11-1-1ii−i−iii−i−i11-1-1
χ101-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−ii−ii-1-111−i−iii−i−iii-1-111
χ111-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-11i−i−ii11-1-1ii−i−i−i−iii-1-111
χ121-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1iiii−i−i−i−i111-1-1-1-111111-1-11111-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1−iii−i-1-111−i−iiiii−i−i11-1-1
χ131-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-111111-1-11−iii−i11-1-1−i−iiiii−i−i-1-111
χ141-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-1-1-11111-111-1i−i−ii-1-111ii−i−i−i−iii11-1-1
χ151-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-11-11-1−ii−ii11-1-1−i−iii−i−iii11-1-1
χ161-1-1111-1-1111-1-1111-1-1-1-1-1-11111-1-1−i−i−i−iiiii111-1-1-1-111111-1-11111-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii1111-1-1-1-1-11-11i−ii−i-1-111ii−i−iii−i−i-1-111
χ172222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ182222222222-2-2-2-2222222222222220000000022222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ19222222222-122222-1222-1-1-12-12-12-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000022002200000000-1-1-1-1-1-1-1-1
χ20222222222-122222-1222-1-1-12-12-12-122222222-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000-2-200-2-20000000011111111
χ21222222222-122222-1222-1-1-12-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000002200-2-2000000001111-1-1-1-1
χ22222222222-122222-1222-1-1-12-12-12-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-122-1-12-1-1-1-1-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111000000000000000000-2-2002200000000-1-1-1-11111
χ2322222222-122222-12-1-1-1222-12-12-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022002200-1-1-1-1-1-1-1-100000000
χ2422222222-122222-12-1-1-1222-12-12-1222222222-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-200-2-2001111111100000000
χ2522222222-122222-12-1-1-1222-12-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111100000000000000002200-2-200-1-1-1-1111100000000
χ2622222222-122222-12-1-1-1222-12-12-12-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-122-12-1-1-1-1-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000-2-20022001111-1-1-1-100000000
χ272222-2-2-2-2222-22-2-2-222-222-222-2-2-2-222-2-222-2-22-2-222-2-222-22-2-2-222-2-2-2-2222222-2-222-2-22222-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000000000
χ282222-2-2-2-2222-22-2-2-222-222-222-2-2-2-2-2-222-2-2222-2-222-2-222-22-2-2-222-2-2-2-22222-2-222-2-222-2-2-2-22222-2-222-2-222-2-2-2-222220000000000000000000000000000000000000000
χ292222-2-2-2-222-22-22-2-222-222-222-2-2-2-2000000002-2-222-2-22-22-2222-2-22222-2-2-2-2000000000000000000000000000000000000000022-2-222-2-2000000000000000000000000
χ302222-2-2-2-222-22-22-2-222-222-222-2-2-2-2000000002-2-222-2-22-22-2222-2-22222-2-2-2-20000000000000000000000000000000000000000-2-222-2-222000000000000000000000000
χ312222-2-2-2-22-12-22-2-2122-2-1-112-1-21-2122-2-222-2-2-111-1-111-12-2-11-21-1-111112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-11111000000000000000000000000000000003−33−33−33−3
χ322222-2-2-2-22-12-22-2-2122-2-1-112-1-21-2122-2-222-2-2-111-1-111-12-2-11-21-1-111112-1-1-122-2-2-1-111-1-1-1-1111122-2-2-1-111-1-1-1-1111100000000000000000000000000000000−33−33−33−33
χ332222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-2-222-2-222-111-1-111-12-2-11-21-1-111112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-1000000000000000000000000000000003−33−3−33−33
χ342222-2-2-2-22-12-22-2-2122-2-1-112-1-21-21-2-222-2-222-111-1-111-12-2-11-21-1-111112-1-1-1-2-22211-1-11111-1-1-1-1-2-22211-1-11111-1-1-1-100000000000000000000000000000000−33−333−33−3
χ352222-2-2-2-2-122-22-21-2-1-1122-2-121-21-222-2-222-2-2-111-1-111-1-112-21-2-1-11111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-111110000000000000000000000003−33−33−33−300000000
χ362222-2-2-2-2-122-22-21-2-1-1122-2-121-21-222-2-222-2-2-111-1-111-1-112-21-2-1-11111-12-1-1-1-11122-2-2-1-1-1-11111-1-11122-2-2-1-1-1-11111000000000000000000000000−33−33−33−3300000000
χ372222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-2-222-2-222-111-1-111-1-112-21-2-1-11111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-10000000000000000000000003−33−3−33−3300000000
χ382222-2-2-2-2-122-22-21-2-1-1122-2-121-21-2-2-222-2-222-111-1-111-1-112-21-2-1-11111-12-1-111-1-1-2-2221111-1-1-1-111-1-1-2-2221111-1-1-1-1000000000000000000000000−33−333−33−300000000
χ3922-2-22-22-22200002-22-222-2-2-2-2-22-222−22−22−22−222-22-22-2-200000000000000002−22−22−22−222−2−222−2−22−22−22−22−222−2−222−2−2002i−2i002i−2i−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ4022-2-22-22-22200002-22-222-2-2-2-2-22-222−22−22−22−222-22-22-2-200000000000000002−22−22−22−222−2−222−2−22−22−22−22−222−2−222−2−200−2i2i00−2i2ii2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ4122-2-22-22-22200002-22-222-2-2-2-2-22-22−22−22−22−2222-22-22-2-20000000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−222002i−2i002i−2ii2−i2i2−i2i2−i2i2−i2000000000000000000000000
χ4222-2-22-22-22200002-22-222-2-2-2-2-22-22−22−22−22−2222-22-22-2-20000000000000000−22−22−22−22−2−222−2−222−22−22−22−22−2−222−2−22200−2i2i00−2i2i−i2i2−i2i2−i2i2−i2i2000000000000000000000000
χ4322-2-2-22-22220000-222-2-22-22-2-22-22-22−2−222−2−222-222-2-22-200000000000000002−2−222−2−2222−2−2−2−2222−2−222−2−2222−2−2−2−2222i−2i002i−2i00−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ4422-2-2-22-22220000-222-2-22-22-2-22-22-22−2−222−2−222-222-2-22-200000000000000002−2−222−2−2222−2−2−2−2222−2−222−2−2222−2−2−2−222−2i2i00−2i2i00i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ4522-2-2-22-22220000-222-2-22-22-2-22-22-2−222−2−222−22-222-2-22-20000000000000000−222−2−222−2−2−22222−2−2−222−2−222−2−2−22222−2−22i−2i002i−2i00i2−i2−i2i2i2−i2−i2i2000000000000000000000000
χ4622-2-2-22-22220000-222-2-22-22-2-22-22-2−222−2−222−22-222-2-22-20000000000000000−222−2−222−2−2−22222−2−2−222−2−222−2−2−22222−2−2−2i2i00−2i2i00−i2i2i2−i2−i2i2i2−i2000000000000000000000000
χ472-22-22-2-222200002-2-22-2-222-2-2-222-2−i2i2−i2i2i2−i2i2−i222-2-22-22-20000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2002-200-22−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ482-22-22-2-222200002-2-22-2-222-2-2-222-2−i2i2−i2i2i2−i2i2−i222-2-22-22-20000000000000000−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i200-22002-2i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ492-22-22-2-222200002-2-22-2-222-2-2-222-2i2−i2i2−i2−i2i2−i2i222-2-22-22-20000000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2002-200-22i2−i2i2−i2−i2i2−i2i2000000000000000000000000
χ502-22-22-2-222200002-2-22-2-222-2-2-222-2i2−i2i2−i2−i2i2−i2i222-2-22-22-20000000000000000i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i200-22002-2−i2i2−i2i2i2−i2i2−i2000000000000000000000000
χ512-22-2-222-2220000-22-222-22-2-2-22-2-22−i2i2i2−i2i2−i2−i2i22-22-222-2-20000000000000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i22-200-2200−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ522-22-2-222-2220000-22-222-22-2-2-22-2-22−i2i2i2−i2i2−i2−i2i22-22-222-2-20000000000000000−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2-22002-200i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ532-22-2-222-2220000-22-222-22-2-2-22-2-22i2−i2−i2i2−i2i2i2−i22-22-222-2-20000000000000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i22-200-2200i2−i2−i2i2−i2i2i2−i2000000000000000000000000
χ542-22-2-222-2220000-22-222-22-2-2-22-2-22i2−i2−i2i2−i2i2i2−i22-22-222-2-20000000000000000i2−i2−i2i2i2−i2−i2i2i2i2−i2−i2−i2−i2i2i2−i2i2i2−i2−i2i2i2−i2−i2−i2i2i2i2i2−i2−i2-22002-200−i2i2i2−i2i2−i2−i2i2000000000000000000000000
χ552-2-2222-2-222-222-222-2-2-2-2-2-22222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-2222222000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ562-2-2222-2-222-222-222-2-2-2-2-2-22222-2-200000000222-2-2-2-22-2-2-2-222-2-2-2-222222200000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ572-2-2222-2-22-12-2-222-1-2-2-21112-12-1-212i2i2i2i−2i−2i−2i−2i-1-1-11111-122-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii0000000000000000002-2002i−2i00000000−i−iii-1-111
χ582-2-2222-2-22-12-2-222-1-2-2-21112-12-1-212i2i2i2i−2i−2i−2i−2i-1-1-11111-122-1-1-21-1-1-1-111-21112i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i−2i−2i−2i−2iiiiiiiiiiiii000000000000000000-2200−2i2i00000000ii−i−i11-1-1
χ592-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21−2i−2i−2i−2i2i2i2i2i-1-1-11111-122-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i0000000000000000002-200−2i2i00000000ii−i−i-1-111
χ602-2-2222-2-22-12-2-222-1-2-2-21112-12-1-21−2i−2i−2i−2i2i2i2i2i-1-1-11111-122-1-1-21-1-1-1-111-2111−2i−2i−2i−2iiiiiiiiiiiii2i2i2i2i−i−i−i−i−i−i−i−i−i−i−i−i000000000000000000-22002i−2i00000000−i−iii11-1-1
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.