Finite Group Databasebeta

← Group #10817455

Character table — Group #10817455

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222222222444444444444444444444444444444444466666666888888881212121212121212121212121212121212121212161616161616161624242424
order122222223444444446666666888888884488881212121212121212121212122424242424242424242424242424242444444444444444444444444444448888888812121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111-1-111-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-11111111111-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1
χ9111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ10111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ11111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ12111111111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ13111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-111
χ14111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1
χ15111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1
χ16111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-111
χ171-1-11-111-11ii−i−i1-1-111-1-11-11-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−ii−i1-11-1i−i1-111-1-1i−iii−i−iii−i−i11-1-1i−i1-11-1i−i1-1i−i
χ181-1-11-111-11ii−i−i1-1-111-1-11-11-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-111-1-1ii−i−i−ii-11-11−ii1-1-1-111i−i−i−iiiii−i−i11-1-1−ii-11-11−ii-11−ii
χ191-1-11-111-11ii−i−i1-1-111-1-11-11-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iiii−i1-11-1i−i-11-1-111−ii−i−iii−i−iii-1-111i−i1-11-1i−i-11−ii
χ201-1-11-111-11ii−i−i1-1-111-1-11-11-1iiii−i−i−i−ii−i11-1-1ii−i−i1-1ii−i−i1-1iiii−i−i−i−i1111-1-1-1-1-1-111−i−iii−ii-11-11−ii-1111-1-1−iiii−i−i−i−iii-1-111−ii-11-11−ii1-1i−i
χ211-1-11-111-11ii−i−i1-1-111-1-11-11-1−i−i−i−iiiiii−i-1-111ii−i−i1-1ii−i−i1-1−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−ii−i-111-1−ii1-1-1-111i−iii−i−i−i−iii-1-111i−i-111-1−ii1-1−ii
χ221-1-11-111-11ii−i−i1-1-111-1-11-11-1−i−i−i−iiiiii−i-1-111ii−i−i1-1ii−i−i1-1−i−i−i−iiiii-1-1-1-1111111-1-1ii−i−i−ii1-1-11i−i1-111-1-1i−i−i−iii−i−iii-1-111−ii1-1-11i−i-11i−i
χ231-1-11-111-11ii−i−i1-1-111-1-11-11-1−i−i−i−iiiiii−i-1-111ii−i−i1-1ii−i−i1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iiii−i-111-1−ii-1111-1-1−ii−i−iiiii−i−i11-1-1i−i-111-1−ii-11i−i
χ241-1-11-111-11ii−i−i1-1-111-1-11-11-1−i−i−i−iiiiii−i-1-111ii−i−i1-1ii−i−i1-1−i−i−i−iiiii-1-1-1-11111-1-111−i−iii−ii1-1-11i−i-11-1-111−iiii−i−iii−i−i11-1-1−ii1-1-11i−i1-1−ii
χ251-1-11-111-11−i−iii1-1-111-1-11-11-1iiii−i−i−i−i−ii-1-111−i−iii1-1−i−iii1-1iiii−i−i−i−i-1-1-1-1111111-1-1−i−iiii−i1-1-11−ii1-111-1-1−iiii−i−iii−i−i-1-111i−i1-1-11−ii-11−ii
χ261-1-11-111-11−i−iii1-1-111-1-11-11-1iiii−i−i−i−i−ii-1-111−i−iii1-1−i−iii1-1iiii−i−i−i−i-1-1-1-1111111-1-1−i−iii−ii-111-1i−i1-1-1-111−ii−i−iiiii−i−i-1-111−ii-111-1i−i1-1i−i
χ271-1-11-111-11−i−iii1-1-111-1-11-11-1iiii−i−i−i−i−ii-1-111−i−iii1-1−i−iii1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−ii−i1-1-11−ii-11-1-111i−i−i−iii−i−iii11-1-1i−i1-1-11−ii1-1i−i
χ281-1-11-111-11−i−iii1-1-111-1-11-11-1iiii−i−i−i−i−ii-1-111−i−iii1-1−i−iii1-1iiii−i−i−i−i-1-1-1-11111-1-111ii−i−i−ii-111-1i−i-1111-1-1i−iii−i−i−i−iii11-1-1−ii-111-1i−i-11−ii
χ291-1-11-111-11−i−iii1-1-111-1-11-11-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iiii−i-11-11i−i1-1-1-111−iiii−i−i−i−iii11-1-1i−i-11-11i−i-11i−i
χ301-1-11-111-11−i−iii1-1-111-1-11-11-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-111-1-1−i−iii−ii1-11-1−ii1-111-1-1−ii−i−iii−i−iii11-1-1−ii1-11-1−ii1-1−ii
χ311-1-11-111-11−i−iii1-1-111-1-11-11-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−ii−i-11-11i−i-1111-1-1i−i−i−iiiii−i−i-1-111i−i-11-11i−i1-1−ii
χ321-1-11-111-11−i−iii1-1-111-1-11-11-1−i−i−i−iiiii−ii11-1-1−i−iii1-1−i−iii1-1−i−i−i−iiiii1111-1-1-1-1-1-111ii−i−i−ii1-11-1−ii-11-1-111i−iii−i−iii−i−i-1-111−ii1-11-1−ii-11i−i
χ332222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-200000000000000002222222200000000-2-20000-2-2000000000000000000000000
χ342222222222222-2-2-2-2222222200000000-2-200002222-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-20000000022000022000000000000000000000000
χ35222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-200000000000000002222-2-2-2-200000000-2-2000022000000000000000000000000
χ36222222222-2-2-2-2-2-2-2-2222222200000000220000-2-2-2-2-2-22222-2-20000000000000000-2-2-2-2222200000000220000-2-2000000000000000000000000
χ3722222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222222200000000000000000000-1-1-1-1-1-1-1-10000
χ3822222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-2-2-2-2-200000000000000000000111111110000
χ3922222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111111110000000022-2-222-2-200000000000000000000-1-111-1-1110000
χ4022222222-122222222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1111111111111111100000000-2-222-2-2220000000000000000000011-1-111-1-10000
χ4122222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-111111111000000002222-2-2-2-200000000000000000000-1-1-1-111110000
χ4222222222-1-2-2-2-22222-1-1-1-1-1-1-122222222-2-2-2-2-2-21111-1-11111-1-1-1-1-1-1-1-1-1-11111111100000000-2-2-2-22222000000000000000000001111-1-1-1-10000
χ4322222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-10000000022-2-2-2-22200000000000000000000-1-11111-1-10000
χ4422222222-1-2-2-2-22222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-222221111-1-11111-1-111111111-1-1-1-1-1-1-1-100000000-2-22222-2-20000000000000000000011-1-1-1-1110000
χ45222-2-2-22-220000-2-222-22-2-222-22i2i−2i−2i2i2i−2i−2i0000000000-2200002-22i2i−2i−2i2i2i−2i−2i000000000000000000000000002-22-2002i−2i2i−2i00000000000000000000
χ46222-2-2-22-220000-2-222-22-2-222-22i2i−2i−2i2i2i−2i−2i0000000000-2200002-22i2i−2i−2i2i2i−2i−2i00000000000000000000000000-22-2200−2i2i−2i2i00000000000000000000
χ47222-2-2-22-220000-2-222-22-2-222-2−2i−2i2i2i−2i−2i2i2i0000000000-2200002-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000002-22-200−2i2i−2i2i00000000000000000000
χ48222-2-2-22-220000-2-222-22-2-222-2−2i−2i2i2i−2i−2i2i2i0000000000-2200002-2−2i−2i2i2i−2i−2i2i2i00000000000000000000000000-22-22002i−2i2i−2i00000000000000000000
χ4922-222-2-2-222-22-20000222-2-2-2-22−22−22−22−2002−22−22-22-2000000002−22−22−22−222−2−222−2−22-22-22-22-2000000000000000000002−22−22−22−2000000000000
χ5022-222-2-2-222-22-20000222-2-2-2-22−22−22−22−2002−22−22-22-2000000002−22−22−22−222−2−222−2−2-22-22-22-2200000000000000000000−22−22−22−22000000000000
χ5122-222-2-2-222-22-20000222-2-2-2-2−22−22−22−2200−22−222-22-200000000−22−22−22−22−2−222−2−2222-22-22-22-200000000000000000000−22−22−22−22000000000000
χ5222-222-2-2-222-22-20000222-2-2-2-2−22−22−22−2200−22−222-22-200000000−22−22−22−22−2−222−2−222-22-22-22-22000000000000000000002−22−22−22−2000000000000
χ5322-222-2-2-22-22-220000222-2-2-2-22−22−22−22−200−22−22-22-22000000002−22−22−22−2−2−222−2−2222-22-2-22-22000000000000000000002−22−2−22−22000000000000
χ5422-222-2-2-22-22-220000222-2-2-2-22−22−22−22−200−22−22-22-22000000002−22−22−22−2−2−222−2−222-22-222-22-200000000000000000000−22−222−22−2000000000000
χ5522-222-2-2-22-22-220000222-2-2-2-2−22−22−22−22002−22−2-22-2200000000−22−22−22−2222−2−222−2−22-22-2-22-2200000000000000000000−22−222−22−2000000000000
χ5622-222-2-2-22-22-220000222-2-2-2-2−22−22−22−22002−22−2-22-2200000000−22−22−22−2222−2−222−2−2-22-222-22-2000000000000000000002−22−2−22−22000000000000
χ572-222-2-2-2222i−2i−2i2i00002-2-2-22-22−i2i2−i2i2i2−i2i2−i200−222−22i−2i−2i2i00000000−i2i2−i2i2i2−i2i2−i2−2−22222−2−22-2-222i−2i−2i2i00000000000000000000−i2i2i2−i2−222−2000000000000
χ582-222-2-2-2222i−2i−2i2i00002-2-2-22-22−i2i2−i2i2i2−i2i2−i200−222−22i−2i−2i2i00000000−i2i2−i2i2i2−i2i2−i2−2−22222−2−2-222-2−2i2i2i−2i00000000000000000000i2−i2−i2i22−2−22000000000000
χ592-222-2-2-2222i−2i−2i2i00002-2-2-22-22i2−i2i2−i2−i2i2−i2i2002−2−222i−2i−2i2i00000000i2−i2i2−i2−i2i2−i2i222−2−2−2−2222-2-222i−2i−2i2i00000000000000000000i2−i2−i2i22−2−22000000000000
χ602-222-2-2-2222i−2i−2i2i00002-2-2-22-22i2−i2i2−i2−i2i2−i2i2002−2−222i−2i−2i2i00000000i2−i2i2−i2−i2i2−i2i222−2−2−2−222-222-2−2i2i2i−2i00000000000000000000−i2i2i2−i2−222−2000000000000
χ612-222-2-2-222−2i2i2i−2i00002-2-2-22-22−i2i2−i2i2i2−i2i2−i2002−2−22−2i2i2i−2i00000000−i2i2−i2i2i2−i2i2−i222−2−2−2−2222-2-22−2i2i2i−2i00000000000000000000−i2i2i2−i22−2−22000000000000
χ622-222-2-2-222−2i2i2i−2i00002-2-2-22-22−i2i2−i2i2i2−i2i2−i2002−2−22−2i2i2i−2i00000000−i2i2−i2i2i2−i2i2−i222−2−2−2−222-222-22i−2i−2i2i00000000000000000000i2−i2−i2i2−222−2000000000000
χ632-222-2-2-222−2i2i2i−2i00002-2-2-22-22i2−i2i2−i2−i2i2−i2i200−222−2−2i2i2i−2i00000000i2−i2i2−i2−i2i2−i2i2−2−22222−2−22-2-22−2i2i2i−2i00000000000000000000i2−i2−i2i2−222−2000000000000
χ642-222-2-2-222−2i2i2i−2i00002-2-2-22-22i2−i2i2−i2−i2i2−i2i200−222−2−2i2i2i−2i00000000i2−i2i2−i2−i2i2−i2i2−2−22222−2−2-222-22i−2i−2i2i00000000000000000000−i2i2i2−i22−2−22000000000000
χ652-2-22-222-222i2i−2i−2i-222-22-2-22-22-200000000−2i2i00002i2i−2i−2i-22−2i−2i2i2i-22000000000000000022-2-22i2i−2i−2i00000000-220000−2i2i000000000000000000000000
χ662-2-22-222-222i2i−2i−2i-222-22-2-22-22-200000000−2i2i00002i2i−2i−2i-22−2i−2i2i2i-220000000000000000-2-222−2i−2i2i2i000000002-200002i−2i000000000000000000000000
χ672-2-22-222-22−2i−2i2i2i-222-22-2-22-22-2000000002i−2i0000−2i−2i2i2i-222i2i−2i−2i-22000000000000000022-2-2−2i−2i2i2i00000000-2200002i−2i000000000000000000000000
χ682-2-22-222-22−2i−2i2i2i-222-22-2-22-22-2000000002i−2i0000−2i−2i2i2i-222i2i−2i−2i-220000000000000000-2-2222i2i−2i−2i000000002-20000−2i2i000000000000000000000000
χ692-2-22-222-2-12i2i−2i−2i2-2-22-111-11-112i2i2i2i−2i−2i−2i−2i2i−2i22-2-2−i−iii-11−i−iii-11−i−i−i−iiiii-1-1-1-11111000000002i−2i2-22-22i−2i00000000000000000000−ii-11-11−ii0000
χ702-2-22-222-2-12i2i−2i−2i2-2-22-111-11-112i2i2i2i−2i−2i−2i−2i2i−2i22-2-2−i−iii-11−i−iii-11−i−i−i−iiiii-1-1-1-1111100000000−2i2i-22-22−2i2i00000000000000000000i−i1-11-1i−i0000
χ712-2-22-222-2-12i2i−2i−2i2-2-22-111-11-11−2i−2i−2i−2i2i2i2i2i2i−2i-2-222−i−iii-11−i−iii-11iiii−i−i−i−i1111-1-1-1-1000000002i−2i-222-2−2i2i00000000000000000000−ii1-1-11i−i0000
χ722-2-22-222-2-12i2i−2i−2i2-2-22-111-11-11−2i−2i−2i−2i2i2i2i2i2i−2i-2-222−i−iii-11−i−iii-11iiii−i−i−i−i1111-1-1-1-100000000−2i2i2-2-222i−2i00000000000000000000i−i-111-1−ii0000
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χ1084-4-44-444-4-24i4i−4i−4i-444-4-222-22-2200000000−4i4i0000−2i−2i2i2i2-22i2i−2i−2i2-20000000000000000000000000000000000000000000000000000000000000000
χ1094-4-44-444-4-2−4i−4i4i4i-444-4-222-22-22000000004i−4i00002i2i−2i−2i2-2−2i−2i2i2i2-20000000000000000000000000000000000000000000000000000000000000000
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χ1134-4-4-44-444-20000-44-4422-222-2-244-4-4-4-4440000000000220000-2-2-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ1144-4-4-44-444-20000-44-4422-222-2-2-4-44444-4-40000000000220000-2-222-2-2-2-22200000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).