Finite Group Databasebeta

← Group #11784148

Character table — Group #11784148

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size11111111222222222222222222224444444444444444444444444444444444444444444444444444444444441212121212121212121212121212121218181818181818182424242424242424242424242424242436363636
order122244442233446666661212121212121212366666666666888812121212121212121212121224242424242424242424242424242424242424242424242424242424242424242244444488888888888888886612121212121224242424242424244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ61111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-1
χ71111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-11111-1-11111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ91111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1ii−i−iii−i−iii−i−i
χ101111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1−i−iii−i−iii−i−iii
χ111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111ii−i−iii−i−i−i−iii
χ121111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1111-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111−i−iii−i−iiiii−i−i
χ131111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1ii−i−i−i−iii−i−i−i−iiiii11-1-111-1-1ii−i−i−i−iiiii−i−i
χ141111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-111-1-1−i−iiiii−i−iiiii−i−i−i−i11-1-111-1-1−i−iiiii−i−i−i−iii
χ151111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111ii−i−i−i−iiiiiii−i−i−i−i-1-111-1-111ii−i−i−i−iii−i−iii
χ161111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-11-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-111−i−iiiii−i−i−i−i−i−iiiii-1-111-1-111−i−iiiii−i−iii−i−i
χ171-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1i−ii−i1-11-11-1i−ii−iii−i−iii−i−i1-1i−ii−i1-11-11-1i−ii−i1-11-1
χ181-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-1i−ii−i1-1-11-11−ii−ii−i−iii−i−iii1-1i−ii−i1-1-11-11−ii−ii-11-11
χ191-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11−ii−ii-111-11-1i−ii−i−i−iii−i−iii-11−ii−ii-111-11-1i−ii−i-11-11
χ201-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11i−ii−i111111-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11−ii−ii-11-11-11−ii−iiii−i−iii−i−i-11−ii−ii-11-11-11−ii−ii1-11-1
χ211-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii1-11-11-1−ii−ii−i−iii−i−iii1-1−ii−ii1-11-11-1−ii−ii1-11-1
χ221-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1-1−ii−ii1-1-11-11i−ii−iii−i−iii−i−i1-1−ii−ii1-1-11-11i−ii−i-11-11
χ231-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11i−ii−i-111-11-1−ii−iiii−i−iii−i−i-11i−ii−i-111-11-1−ii−ii-11-11
χ241-1-1111-1-1-11111-1-1-11-1-1111-1-111-1-111-11-1-1-111-1-11−ii−ii111111-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-11i−ii−i-11-11-11i−ii−i−i−iii−i−iii-11i−ii−i-11-11-11i−ii−i1-11-1
χ251-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1i−i−ii-11i−i−ii-111-1-1-11111-1-11-1i−i−ii-11i−i−ii-111-1i−i−ii
χ261-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-1i−i−ii-11−iii−i1-1-1111-1-1-1-1111-1i−i−ii-11−iii−i1-1-11−iii−i
χ271-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11−iii−i1-1i−i−ii-111-111-1-1-1-111-11−iii−i1-1i−i−ii-111-1−iii−i
χ281-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111i−i−ii1111-1-111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11−iii−i1-1−iii−i1-1-11-1-11111-1-1-11−iii−i1-1−iii−i1-1-11i−i−ii
χ291-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1−iii−i-11i−i−ii1-1-1111-1-1-1-1111-1−iii−i-11i−i−ii1-1-11i−i−ii
χ301-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1-1−iii−i-11−iii−i-111-1-1-11111-1-11-1−iii−i-11−iii−i-111-1−iii−i
χ311-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11i−i−ii1-1i−i−ii1-1-11-1-11111-1-1-11i−i−ii1-1i−i−ii1-1-11−iii−i
χ321-1-11-1-1111-1111-1-1-11-1-11-1-111-1-1111-11-11-1-1-1-1111−iii−i1111-1-111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-11i−i−ii1-1−iii−i-111-111-1-1-1-111-11i−i−ii1-1−iii−i-111-1i−i−ii
χ3322222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222220000000000000000-1-1-1-1-1-1-1-1000000000000
χ3422222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000000000011111111000000000000
χ3522222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-211111122-2-2-2-2220000000000000000-1-11111-1-1000000000000
χ3622222222222-122222-1-1-1-1-1-1-12222-122-1-1-1-1-1-1-1-1-1-2-2-2-22-1-1-1-1-1-1-12-1-1-1-2-2111111-2-2111111-2-2111111-2-2111111-2-22222-2-2000000000000000011-1-1-1-111000000000000
χ372222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000222222220000000000000000-1-1-1-1-1-1-1-10000
χ382222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-12222-12-1-1-1-1-1-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100000000-2-2-2-2-2-2-2-20000000000000000111111110000
χ392222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-21111000000002222-2-2-2-20000000000000000-1-1-1-111110000
χ402222222222-1222-1-1-12222222-1-1-1-1-1-1-122-1-1-1-1-1-1-1-2-2-2-2-12-1-1-1-1-1-1-12-1-111-2-2111111-2-2111111-2-2111111-2-2111100000000-2-2-2-2222200000000000000001111-1-1-1-10000
χ4122222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000000000002-22-22-22-200000000000000000000
χ4222222222-2-222-2-2222222222222222-2-2-2-222-2-2-2-220000-2-2-2-22222-2-2-2-2000000000000000000000000000000000000000000000000-22-22-22-2200000000000000000000
χ432222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ442222-2-2-2-22222-2-2222222-2-2-2-2-2-2-2-22222222222220000-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ452222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-21111112222-2-2-2-20000000000000000-1-1-1-11111000000000000
χ462222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-122-2-22-1-1-111112-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2-2-2222200000000000000001111-1-1-1-1000000000000
χ472222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-122-2-222-2-20000000000000000-1-111-1-111000000000000
χ482222-2-2-2-2-2-22-122222-1-1-11111-2-2-2-2-1-2-211-1-11111-1-2-2222-1-1-111112-1-1-1-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1-2-222-2-222000000000000000011-1-111-1-1000000000000
χ492222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000002i2i−2i−2i2i2i−2i−2i0000000000000000−i−iii−i−iii0000
χ502222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-122-2-2-12-1-11111-12-1-1-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-2111100000000−2i−2i2i2i−2i−2i2i2i0000000000000000ii−i−iii−i−i0000
χ512222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000002i2i−2i−2i−2i−2i2i2i0000000000000000−i−iiiii−i−i0000
χ522222-2-2-2-2-2-2-1222-1-1-1222-2-2-2-21111-111-2-2-1-11111-1-2-222-12-1-11111-12-1-111-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-100000000−2i−2i2i2i2i2i−2i−2i0000000000000000ii−i−i−i−iii0000
χ532-2-2222-2-22-222-22-2-22-2-2222-2-222-2-22-22-22-2-2-2-22220000-2-2-2-222-2-222220000000000000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000
χ542-2-2222-2-22-222-22-2-22-2-2222-2-222-2-22-22-22-2-2-2-22220000-2-2-2-222-2-22222000000000000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000
χ552-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-12-2-1111-1-111-12i−2i2i−2i2-1-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2-22i−2i2i−2i2-20000000000000000-11−ii−ii-11000000000000
χ562-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-12-2-1111-1-111-12i−2i2i−2i2-1-1-1-1-111-21112i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii-22−2i2i−2i2i-2200000000000000001-1i−ii−i1-1000000000000
χ572-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-12-2-1111-1-111-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i2-2−2i2i−2i2i2-20000000000000000-11i−ii−i-11000000000000
χ582-2-2222-2-2-222-12-2-2-2211-1-1-11122-2-2-12-2-1111-1-111-1−2i2i−2i2i2-1-1-1-1-111-2111−2i−2iiiiiii2i2i−i−i−i−i−i−i−2i−2iiiiiii2i2i−i−i−i−i−i−i-222i−2i2i−2i-2200000000000000001-1−ii−ii1-1000000000000
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χ1224-4-4444-4-44-4-24-4422-2-4-4444-4-4-2-222-22-2-442222-2-2-200002-422-2-222-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1234-4-4444-4-44-4-2-2-4422-222-2-2-222-2-22212-22-2-1-1-1-1111000022-1-111-1-1-2-211000033-3-30000-3-333000033-3-30000-3-33300000000000000000000000000000000000000000000
χ1244-4-4444-4-44-4-2-2-4422-222-2-2-222-2-22212-22-2-1-1-1-1111000022-1-111-1-1-2-2110000-3-333000033-3-30000-3-333000033-3-300000000000000000000000000000000000000000000
χ1254-4-4444-4-4-44-2-24-422-222-2-2-222-2-2221-22-22-1-111-1-114i−4i4i−4i-2-21111-1-122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000000000000000
χ1264-4-4444-4-4-44-2-24-422-222-2-2-222-2-2221-22-22-1-111-1-11−4i4i−4i4i-2-21111-1-122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000000000000000
χ1274-4-44-4-4444-4-2-24-422-222-222-2-222-2-212-22-2-1-1-1-11114i−4i−4i4i-2-211-1-11122-1-1−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i2i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii00000000000000000000000000000000000000000000
χ1284-4-44-4-4444-4-2-24-422-222-222-2-222-2-212-22-2-1-1-1-1111−4i4i4i−4i-2-211-1-11122-1-12i2i2i2i−i−i−i−i−2i−2i−2i−2iiiii−2i−2i−2i−2iiiii2i2i2i2i−i−i−i−i00000000000000000000000000000000000000000000
χ1294-4-44-4-444-444-2-44-4-4422-222-2-2-4-444-24-4-2222-2-222-20000-422222-2-24-2-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-4-44-4-444-44-24-4422-2-4-44-4-44422-2-2-2-224-422-2-222-200002-42222-2-2-24-2-20000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-4-44-4-444-44-2-2-4422-222-222-2-222-2-21-22-22-1-111-1-11000022-1-1-1-111-2-211000033-3-30000-3-3330000-3-333000033-3-300000000000000000000000000000000000000000000
χ1324-4-44-4-444-44-2-2-4422-222-222-2-222-2-21-22-22-1-111-1-11000022-1-1-1-111-2-2110000-3-333000033-3-3000033-3-30000-3-33300000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.