Finite Group Databasebeta

← Group #11776930

Character table — Group #11776930

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111111122222222222222222222222222224444444444444444444444444444444444444444444444444444444418181818181818181818181818181818242424242424242424242424242424242424242424242424
order1222444433444466666688888888121212121212121236661212121212121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242422444444888888888888888824242424242424242424242424242424
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
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111
χ711111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111
χ811111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ91111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1i−ii−ii−ii−iii−i−iii−i−iii−i−iii−i−i
χ101111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1−ii−ii−ii−ii−i−iii−i−iii−i−iii−i−iii
χ111111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111i−ii−i−ii−iiii−i−iii−i−i−i−iii−i−iii
χ121111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111−ii−iii−ii−i−i−iii−i−iiiii−i−iii−i−i
χ131111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111i−i−iii−i−iiii−i−i−i−iiiii−i−i−i−iii
χ141111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111−iii−i−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ151111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1i−i−ii−iii−iii−i−i−i−iii−i−iiiii−i−i
χ161111-1-1-1-111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1−iii−ii−i−ii−i−iiiii−i−iii−i−i−i−iii
χ172222222222-2-2-2-222222200000000222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-222-2-200000000000000000000000000000000
χ182222222222-2-2-2-222222200000000222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000-2-222-2-22200000000000000000000000000000000
χ19222222222-12222222-1-1-12222222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000222200000000-1-1-1-1-1-1-1-1
χ20222222222-12222222-1-1-12222222222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000-2-2-2-20000000011111111
χ21222222222-12222222-1-1-1-2-2-2-2-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-21111111111110000000000000000000022-2-200000000-1-1-1-11111
χ22222222222-12222222-1-1-1-2-2-2-2-2-2-2-222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111111100000000000000000000-2-222000000001111-1-1-1-1
χ2322222222-122222-1-1-122222222222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000000022220000-1-1-1-1-1-1-1-100000000
χ2422222222-122222-1-1-122222222222-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000-2-2-2-200001111111100000000
χ2522222222-122222-1-1-1222-2-2-2-2-2-2-2-2-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-211111111000000000000000022-2-20000-1-1-1-1111100000000
χ2622222222-122222-1-1-1222-2-2-2-2-2-2-2-2-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-11111-2-2-2-2111111111111-2-2-2-2111111110000000000000000-2-22200001111-1-1-1-100000000
χ272222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000022-2-2-2-22200000000000000000000000000000000
χ282222-2-2-2-22222-2-222222200000000-2-2-2-2-2-2-2-222222222-2-2-2-22222-2-2-2-2-2-2-2-200000000000000000000000000000000-2-22222-2-200000000000000000000000000000000
χ292222-2-2-2-22-1-2-222222-1-1-12222-2-2-2-2-2-211-2-211-1-1-1-1-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000000000002i−2i2i−2i00000000−i−iii−i−iii
χ302222-2-2-2-22-1-2-222222-1-1-12222-2-2-2-2-2-211-2-211-1-1-1-1-2-2111111111122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111111100000000000000000000−2i2i−2i2i00000000ii−i−iii−i−i
χ312222-2-2-2-22-1-2-222222-1-1-1-2-2-2-22222-2-211-2-211-1-1-1-1-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000002i−2i−2i2i00000000−i−iiiii−i−i
χ322222-2-2-2-22-1-2-222222-1-1-1-2-2-2-22222-2-211-2-211-1-1-1-1-2-2111111111122-1-1-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000−2i2i2i−2i00000000ii−i−i−i−iii
χ332222-2-2-2-2-12-2-222-1-1-12222222-2-2-2-211-2-211-2-2-1-1-1-111-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-21111111100000000000000002i−2i2i−2i0000−i−iii−i−iii00000000
χ342222-2-2-2-2-12-2-222-1-1-12222222-2-2-2-211-2-211-2-2-1-1-1-111-2-211111111-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-2111111110000000000000000−2i2i−2i2i0000ii−i−iii−i−i00000000
χ352222-2-2-2-2-12-2-222-1-1-1222-2-2-2-2222211-2-211-2-2-1-1-1-111-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-100000000000000002i−2i−2i2i0000−i−iiiii−i−i00000000
χ362222-2-2-2-2-12-2-222-1-1-1222-2-2-2-2222211-2-211-2-2-1-1-1-111-2-211111111-1-122-1-1-1-11111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-10000000000000000−2i2i2i−2i0000ii−i−i−i−iii00000000
χ3722-2-222-2-22200002-2-22-2-222−2−222−2−222-2-2-2-22222-2-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−2002i−2i002i−2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ3822-2-222-2-22200002-2-22-2-222−2−222−2−222-2-2-2-22222-2-2000022-2-200000000000022−2−222−2−22222−2−2−2−222−2−222−2−22222−2−2−2−200−2i2i00−2i2ii2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ3922-2-222-2-22200002-2-22-2-2−2−222−2−22222-2-2-2-22222-2-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−22222002i−2i002i−2ii2i2−i2−i2i2i2−i2−i2000000000000000000000000
χ4022-2-222-2-22200002-2-22-2-2−2−222−2−22222-2-2-2-22222-2-2000022-2-2000000000000−2−222−2−222−2−2−2−22222−2−222−2−222−2−2−2−2222200−2i2i00−2i2i−i2−i2i2i2−i2−i2i2i2000000000000000000000000
χ4122-2-2-2-2222200002-2-22-2-222−2−2−2−222-2-22222-2-222-2-20000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−22222002i−2i00−2i2i−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ4222-2-2-2-2222200002-2-22-2-222−2−2−2−222-2-22222-2-222-2-20000-2-22200000000000022−2−222−2−22222−2−2−2−2−2−222−2−222−2−2−2−2222200−2i2i002i−2ii2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4322-2-2-2-2222200002-2-22-2-2−2−22222−2−2-2-22222-2-222-2-20000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−2002i−2i00−2i2ii2i2−i2−i2−i2−i2i2i2000000000000000000000000
χ4422-2-2-2-2222200002-2-22-2-2−2−22222−2−2-2-22222-2-222-2-20000-2-222000000000000−2−222−2−222−2−2−2−2222222−2−222−2−22222−2−2−2−200−2i2i002i−2i−i2−i2i2i2i2i2−i2−i2000000000000000000000000
χ452-22-22i−2i2i−2i220000-22-2-22-22−22−2−i2i2−i2i22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000000000002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-2002i−2i002−22−2−i2i2−i2i2000000000000000000000000
χ462-22-22i−2i2i−2i220000-22-2-22-22−22−2−i2i2−i2i22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i0000000000002−22−22−22−222−2−222−2−2−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-2200−2i2i00−22−22i2−i2i2−i2000000000000000000000000
χ472-22-22i−2i2i−2i220000-22-2-22-2−22−22i2−i2i2−i22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i000000000000−22−22−22−22−2−222−2−222i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-2002i−2i00−22−22i2−i2i2−i2000000000000000000000000
χ482-22-22i−2i2i−2i220000-22-2-22-2−22−22i2−i2i2−i22i−2i2i−2i2i−2i2i−2i2-22-200002i−2i2i−2i000000000000−22−22−22−22−2−222−2−222i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2-2200−2i2i002−22−2−i2i2−i2i2000000000000000000000000
χ492-22-2−2i2i−2i2i220000-22-2-22-22−22−2i2−i2i2−i2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000000000002−22−22−22−222−2−222−2−2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i22-200−2i2i002−22−2i2−i2i2−i2000000000000000000000000
χ502-22-2−2i2i−2i2i220000-22-2-22-22−22−2i2−i2i2−i2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i0000000000002−22−22−22−222−2−222−2−2i2−i2i2−i2i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2-22002i−2i00−22−22−i2i2−i2i2000000000000000000000000
χ512-22-2−2i2i−2i2i220000-22-2-22-2−22−22−i2i2−i2i2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i000000000000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i22-200−2i2i00−22−22−i2i2−i2i2000000000000000000000000
χ522-22-2−2i2i−2i2i220000-22-2-22-2−22−22−i2i2−i2i2−2i2i−2i2i−2i2i−2i2i2-22-20000−2i2i−2i2i000000000000−22−22−22−22−2−222−2−222−i2i2−i2i2−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2-22002i−2i002−22−2i2−i2i2−i2000000000000000000000000
χ532-2-222i−2i−2i2i222i−2i2-2-2-22-2-22000000002i−2i−2i2i−2i2i2i−2i2-2-222i−2i2i−2i2i−2i−2i2i2i2i−2i−2i2-22-222-2-200000000000000000000000000000000000000002i−2i−2i2i2-2-22000000000000000000000000
χ542-2-222i−2i−2i2i222i−2i2-2-2-22-2-22000000002i−2i−2i2i−2i2i2i−2i2-2-222i−2i2i−2i2i−2i−2i2i2i2i−2i−2i2-22-222-2-20000000000000000000000000000000000000000−2i2i2i−2i-222-2000000000000000000000000
χ552-2-222i−2i−2i2i22−2i2i-22-2-22-2-222-2-22−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i−2i2i−2i−2i2i2i-22-22-2-2222-2-222-2-2222-2-2-2-222−2i2i2i−2i−2i2i2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000000000000000
χ562-2-222i−2i−2i2i22−2i2i-22-2-22-2-22-222-22i−2i−2i2i2i−2i−2i2i−2i2i2i−2i2-2-22−2i2i−2i2i2i−2i−2i2i−2i−2i2i2i-22-22-2-222-222-2-222-2-2-22222-2-22i−2i−2i2i2i−2i−2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000000000000000000000000000
χ572-2-222i−2i−2i2i2-1−2i2i-22-2-2211-12-2-22−2i2i2i−2i2i−2ii−i−2i2i−ii-111-1−2i2ii−i−iii−iii−i−i-221-111-1-12-2-22-111-1-1-11111-1-1−2i2i2i−2ii−i−iiii−i−i−i−iii00000000000000000000000000000000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ13
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.