Finite Group Databasebeta

← Group #10762166

Character table — Group #10762166

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222224444444444444444444444666666666666666688888888888888888888888812121212121212121212121216161616242424242424
order122244443444444446661212121224888888888888121212121212121244444444888888884444688122424242424242424242424242424242422224444888812121212448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
χ4111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1
χ511111111111111111111111111-1-1-1-111111111111111111111111111111111-1-1-1-11-1-11-1-1-1-1-1-1-1-11111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-111111111-1-111-1-111-1-1-1-1-1-1-1-1111111
χ711111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1
χ811111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111
χ911111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11-1111-111-1-1-1-111-1-1-1-111-1-1
χ1011111111111-1-1-1-1111111111-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-11-1-1111111-1-111-1-111
χ1111111111111-1-1-1-1111111111-1-11111-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111-1-1-11-1-1-11111-1-1111111-1-1
χ1211111111111-1-1-1-1111111111-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1111-1111-1-1-1-1-1-111-1-1-1-111
χ1311111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-111-111-1-1-1-1-111111111-1-1-1-11-1-1-11-1-1-1-1-1-1-1-1-11111-1-111
χ1411111111111-1-1-1-1111111111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-111111111-1-1-1-1-1111-11111111-1-111-1-111-1-1
χ1511111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-11111-1-1-1-111111-1111-111111111-1-1-1-1-1-111
χ1611111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111111111111-1-1-111-1-1-1-1-11111-1-1-1-11111-11-1-1-11-1-1-1-1-1-111-1-11111-1-1
χ171111-1-1-1-111111-1-1-1-1111-1-1-1-11-1ii−i−iii−i−iii−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−i1-11-11i−i-1ii−i−iii−i−iii−i−iii−i−i1-111-11-1-1ii−i−i1-11-11-1i−ii−i
χ181111-1-1-1-111111-1-1-1-1111-1-1-1-11-1ii−i−iii−i−iii−i−i1111-1-1-1-1-1-111-1-111−i−i−i−iiiii1-11-11i−i-1ii−i−iii−i−iii−i−iii−i−i-11-1-11-111−i−iii1-11-1-11−ii−ii
χ191111-1-1-1-111111-1-1-1-1111-1-1-1-11-1ii−i−i−i−iii−i−iii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii-11-111i−i-1ii−i−iii−i−i−i−iii−i−iii1-1-1-1-1111−i−iii-11-11-11i−ii−i
χ201111-1-1-1-111111-1-1-1-1111-1-1-1-11-1ii−i−i−i−iii−i−iii1111-1-1-1-1-1-111-1-111iiii−i−i−i−i-11-111i−i-1ii−i−iii−i−i−i−iii−i−iii-11111-1-1-1ii−i−i-11-111-1−ii−ii
χ211111-1-1-1-111111-1-1-1-1111-1-1-1-11-1−i−iiiii−i−iii−i−i1111-1-1-1-111-1-111-1-1iiii−i−i−i−i-11-111−ii-1−i−iii−i−iiiii−i−iii−i−i1-1-1-1-1111ii−i−i-11-11-11−ii−ii
χ221111-1-1-1-111111-1-1-1-1111-1-1-1-11-1−i−iiiii−i−iii−i−i1111-1-1-1-1-1-111-1-111−i−i−i−iiiii-11-111−ii-1−i−iii−i−iiiii−i−iii−i−i-11111-1-1-1−i−iii-11-111-1i−ii−i
χ231111-1-1-1-111111-1-1-1-1111-1-1-1-11-1−i−iii−i−iii−i−iii1111-1-1-1-111-1-111-1-1−i−i−i−iiiii1-11-11−ii-1−i−iii−i−iii−i−iii−i−iii1-111-11-1-1−i−iii1-11-11-1−ii−ii
χ241111-1-1-1-111111-1-1-1-1111-1-1-1-11-1−i−iii−i−iii−i−iii1111-1-1-1-1-1-111-1-111iiii−i−i−i−i1-11-11−ii-1−i−iii−i−iii−i−iii−i−iii-11-1-11-111ii−i−i1-11-1-11i−ii−i
χ251111-1-1-1-1111-1-111-1-1111-1-1-1-1-11ii−i−iii−i−i−i−iii11-1-111-1-111-1-1-1-111iiii−i−i−i−i1-1-11-1−ii1ii−i−i−i−iiiii−i−i−i−iii1111-1-1-1-1−i−iii1-1-11-11i−i−ii
χ261111-1-1-1-1111-1-111-1-1111-1-1-1-1-11ii−i−iii−i−i−i−iii11-1-111-1-1-1-11111-1-1−i−i−i−iiiii1-1-11-1−ii1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111ii−i−i1-1-111-1−iii−i
χ271111-1-1-1-1111-1-111-1-1111-1-1-1-1-11ii−i−i−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−i−i−iiiii-111-1-1−ii1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111ii−i−i-111-11-1i−i−ii
χ281111-1-1-1-1111-1-111-1-1111-1-1-1-1-11ii−i−i−i−iiiii−i−i11-1-111-1-1-1-11111-1-1iiii−i−i−i−i-111-1-1−ii1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1−i−iii-111-1-11−iii−i
χ291111-1-1-1-1111-1-111-1-1111-1-1-1-1-11−i−iiiii−i−i−i−iii11-1-111-1-111-1-1-1-111iiii−i−i−i−i-111-1-1i−i1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111−i−iii-111-11-1−iii−i
χ301111-1-1-1-1111-1-111-1-1111-1-1-1-1-11−i−iiiii−i−i−i−iii11-1-111-1-1-1-11111-1-1−i−i−i−iiiii-111-1-1i−i1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1ii−i−i-111-1-11i−i−ii
χ311111-1-1-1-1111-1-111-1-1111-1-1-1-1-11−i−iii−i−iiiii−i−i11-1-111-1-111-1-1-1-111−i−i−i−iiiii1-1-11-1i−i1−i−iiiii−i−i−i−iiiii−i−i1111-1-1-1-1ii−i−i1-1-11-11−iii−i
χ321111-1-1-1-1111-1-111-1-1111-1-1-1-1-11−i−iii−i−iiiii−i−i11-1-111-1-1-1-11111-1-1iiii−i−i−i−i1-1-11-1i−i1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−iii1-1-111-1i−i−ii
χ33222222222-2-22222-2-22222222-2-2000000000000-2-22222-2-222222222000000000000-200-20000000000000000-2-200-2-20000000000000000
χ34222222222-2-22222-2-22222222-2-2000000000000-2-22222-2-2-2-2-2-2-2-2-2-2000000000000-200-200000000000000002200220000000000000000
χ35222222222-2-2-2-2-2-2-2-2222222222000000000000-2-2-2-2-2-2-2-22222-2-2-2-200000000000020020000000000000000-2200-220000000000000000
χ36222222222-2-2-2-2-2-2-2-2222222222000000000000-2-2-2-2-2-2-2-2-2-2-2-22222000000000000200200000000000000002-2002-20000000000000000
χ3722222222-122222222-1-1-1-1-1-1-122222222222222-1-1-1-1-1-1-1-100000000000000002222-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000-1-1-1-1000000
χ3822222222-122222222-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-122-1-1-1-1-1-1-1-1-1111111110000000000001111000000
χ3922222222-122222222-1-1-1-1-1-1-122-2-2-2-222222222-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-1-2-2-111111111-1-1-1-1-1-1-1-10000000000001111000000
χ4022222222-122222222-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000000000002222-1-2-2-11111111111111111000000000000-1-1-1-1000000
χ4122222222-122-2-2-2-222-1-1-1-1-1-1-1-2-222222222-2-2-2-2-1-11111-1-1000000000000000022-2-21-2-21-1-1-1-11111-1-1-1-11111000000000000-1-111000000
χ4222222222-122-2-2-2-222-1-1-1-1-1-1-1-2-22222-2-2-2-22222-1-11111-1-10000000000000000-2-2221-2-21-1-1-1-111111111-1-1-1-100000000000011-1-1000000
χ4322222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-2-2-2-1-11111-1-10000000000000000-2-22212211111-1-1-1-1-1-1-1-1111100000000000011-1-1000000
χ4422222222-122-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222-1-11111-1-1000000000000000022-2-212211111-1-1-1-11111-1-1-1-1000000000000-1-111000000
χ452222-2-2-2-22-2-222-2-222222-2-2-2-2-22000000000000-2-222-2-22222-2-222-2-2000000000000-20020000000000000000-22002-20000000000000000
χ462222-2-2-2-22-2-222-2-222222-2-2-2-2-22000000000000-2-222-2-222-2-222-2-222000000000000-200200000000000000002-200-220000000000000000
χ472222-2-2-2-22-2-2-2-22222222-2-2-2-22-2000000000000-2-2-2-2222222-2-2-2-222000000000000200-20000000000000000-2-200220000000000000000
χ482222-2-2-2-22-2-2-2-22222222-2-2-2-22-2000000000000-2-2-2-22222-2-22222-2-2000000000000200-200000000000000002200-2-20000000000000000
χ492222-2-2-2-2-12222-2-2-2-2-1-1-111112-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-1111100000000000000002-22-2-12i−2i1−i−iii−i−iii−i−iii−i−iii000000000000-11-11000000
χ502222-2-2-2-2-12222-2-2-2-2-1-1-111112-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-111110000000000000000-22-22-12i−2i1−i−iii−i−iiiii−i−iii−i−i0000000000001-11-1000000
χ512222-2-2-2-2-12222-2-2-2-2-1-1-111112-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-111110000000000000000-22-22-1−2i2i1ii−i−iii−i−i−i−iii−i−iii0000000000001-11-1000000
χ522222-2-2-2-2-12222-2-2-2-2-1-1-111112-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-1111100000000000000002-22-2-1−2i2i1ii−i−iii−i−iii−i−iii−i−i000000000000-11-11000000
χ532222-2-2-2-2-122-2-222-2-2-1-1-11111-222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-1-111-1-11100000000000000002-2-221−2i2i-1−i−iiiii−i−i−i−iiiii−i−i000000000000-111-1000000
χ542222-2-2-2-2-122-2-222-2-2-1-1-11111-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i-1-111-1-1110000000000000000-222-21−2i2i-1−i−iiiii−i−iii−i−i−i−iii0000000000001-1-11000000
χ552222-2-2-2-2-122-2-222-2-2-1-1-11111-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i-1-111-1-1110000000000000000-222-212i−2i-1ii−i−i−i−iii−i−iiiii−i−i0000000000001-1-11000000
χ562222-2-2-2-2-122-2-222-2-2-1-1-11111-22−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-1-111-1-11100000000000000002-2-2212i−2i-1ii−i−i−i−iiiii−i−i−i−iii000000000000-111-1000000
χ572-22-22i−2i2i−2i2002i−2i2-200-22-22i2i−2i−2i0000001−i−1+i1+i−1−i1+i−1−i1−i−1+i002i−2i2-2002i−2i2-22-22i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i000000001−i−1+i1+i−1−i0000000000
χ582-22-22i−2i2i−2i2002i−2i2-200-22-22i2i−2i−2i0000001−i−1+i1+i−1−i1+i−1−i1−i−1+i002i−2i2-200−2i2i-22-22−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000001−i−1+i1+i−1−i1+i−1−i1−i−1+i00000000−1+i1−i−1−i1+i0000000000
χ592-22-22i−2i2i−2i2002i−2i2-200-22-22i2i−2i−2i000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002i−2i2-2002i−2i2-22-22i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i00000000−1+i1−i−1−i1+i0000000000
χ602-22-22i−2i2i−2i2002i−2i2-200-22-22i2i−2i−2i000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i002i−2i2-200−2i2i-22-22−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000−1+i1−i−1−i1+i−1−i1+i−1+i1−i000000001−i−1+i1+i−1−i0000000000
χ612-22-22i−2i2i−2i200−2i2i-2200-22-22i2i−2i−2i0000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00−2i2i-22002i−2i2-2-22−2i2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i00000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00000000−1+i1−i−1−i1+i0000000000
χ622-22-22i−2i2i−2i200−2i2i-2200-22-22i2i−2i−2i0000001−i−1+i1+i−1−i−1−i1+i−1+i1−i00−2i2i-2200−2i2i-222-22i−2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i00000000000000001−i−1+i1+i−1−i−1−i1+i−1+i1−i000000001−i−1+i1+i−1−i0000000000
χ632-22-22i−2i2i−2i200−2i2i-2200-22-22i2i−2i−2i000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00−2i2i-22002i−2i2-2-22−2i2i−1−i−1−i1+i1+i−1+i−1+i1−i1−i0000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i000000001−i−1+i1+i−1−i0000000000
χ642-22-22i−2i2i−2i200−2i2i-2200-22-22i2i−2i−2i000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00−2i2i-2200−2i2i-222-22i−2i1+i1+i−1−i−1−i1−i1−i−1+i−1+i0000000000000000−1+i1−i−1−i1+i1+i−1−i1−i−1+i00000000−1+i1−i−1−i1+i0000000000
χ652-22-2−2i2i−2i2i2002i−2i-2200-22-2−2i−2i2i2i0000001+i−1−i1−i−1+i−1+i1−i−1−i1+i002i−2i-22002i−2i-222-2−2i2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i000000001+i−1−i1−i−1+i0000000000
χ662-22-2−2i2i−2i2i2002i−2i-2200-22-2−2i−2i2i2i0000001+i−1−i1−i−1+i−1+i1−i−1−i1+i002i−2i-2200−2i2i2-2-222i−2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i00000000000000001+i−1−i1−i−1+i−1+i1−i−1−i1+i00000000−1−i1+i−1+i1−i0000000000
χ672-22-2−2i2i−2i2i2002i−2i-2200-22-2−2i−2i2i2i000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i002i−2i-22002i−2i-222-2−2i2i1−i1−i−1+i−1+i1+i1+i−1−i−1−i0000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i00000000−1−i1+i−1+i1−i0000000000
χ682-22-2−2i2i−2i2i2002i−2i-2200-22-2−2i−2i2i2i000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i002i−2i-2200−2i2i2-2-222i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i0000000000000000−1−i1+i−1+i1−i1−i−1+i1+i−1−i000000001+i−1−i1−i−1+i0000000000
χ692-22-2−2i2i−2i2i200−2i2i2-200-22-2−2i−2i2i2i0000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00−2i2i2-2002i−2i-22-222i−2i−1+i−1+i1−i1−i−1−i−1−i1+i1+i00000000000000001+i−1−i1−i−1+i1−i−1+i1+i−1−i00000000−1−i1+i−1+i1−i0000000000
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Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.