Finite Group Databasebeta

← Group #72270217

Character table — Group #72270217

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size1111222222222222222222222244444444444444448888888888888888888888888812121212121212121212121212121212161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order1222222222222222223666666622226666666666662222444444444444446666666622222222444444444444661212121212121212121212121212121212121212121222444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1
χ911111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-1
χ1011111111111111111111111111-1-1-1-1111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111
χ1111111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111
χ1211111111111111111111111111-1-1-1-1111111111111-1-111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ1311111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ1411111111111111111111111111-1-1-1-1111111111111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1
χ1511111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1
χ1611111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-111
χ171-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-11-1ii−i−i1-111-1-1ii−i−i1111-1-1-1-111-1-111-1-111-1-111-1-1i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i1-1ii−i−i1-111-1-1ii−i−ii−ii−i
χ181-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-11-1ii−i−i1-111-1-1ii−i−i1111-1-1-1-1-1-111-1-111-1-111-1-111i−ii−i1-11-1ii−i−iii−i−i11-1-1ii−i−iii−i−i-11−i−iii-11-1-111−i−iii−ii−ii
χ191-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-11-1−i−iii1-111-1-1−i−iii1111-1-1-1-111-1-111-1-111-1-111-1-1−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii1-1−i−iii1-111-1-1−i−iii−ii−ii
χ201-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-11-1−i−iii1-111-1-1−i−iii1111-1-1-1-1-1-111-1-111-1-111-1-111−ii−ii1-11-1−i−iii−i−iii11-1-1−i−iii−i−iii-11ii−i−i-11-1-111ii−i−ii−ii−i
χ211-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-1-11ii−i−i-11-1-111ii−i−i1111-1-1-1-111-1-111-1-111-1-111-1-1−ii−ii-11-11ii−i−i−i−iii-1-111ii−i−i−i−iii-11ii−i−i-11-1-111ii−i−i−ii−ii
χ221-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-1-11ii−i−i-11-1-111ii−i−i1111-1-1-1-1-1-111-1-111-1-111-1-111−ii−ii-11-11ii−i−i−i−iii-1-111ii−i−i−i−iii1-1−i−iii1-111-1-1−i−iiii−ii−i
χ231-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-1-11−i−iii-11-1-111−i−iii1111-1-1-1-111-1-111-1-111-1-111-1-1i−ii−i-11-11−i−iiiii−i−i-1-111−i−iiiii−i−i-11−i−iii-11-1-111−i−iiii−ii−i
χ241-1-11111111-1-1-1-1-1-11-11111-1-1-1-111-1-111111-1-1-1-11-1-11-1-11−i−iii-11-1-111−i−iii1111-1-1-1-1-1-111-1-111-1-111-1-111i−ii−i-11-11−i−iiiii−i−i-1-111−i−iiiii−i−i1-1ii−i−i1-111-1-1ii−i−i−ii−ii
χ251-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111-1ii−i−i1-1-1-111−i−iii-1-1-1-1111111-1-1-1-11111-1-1-1-111i−i−ii1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii1-1−i−iii1-1-1-111ii−i−ii−i−ii
χ261-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111-1ii−i−i1-1-1-111−i−iii-1-1-1-11111-1-11111-1-1-1-11111-1-1i−i−ii1-11-1ii−i−iii−i−i-1-111−i−iii−i−iii-11ii−i−i-1111-1-1−i−iii−iii−i
χ271-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111-1−i−iii1-1-1-111ii−i−i-1-1-1-1111111-1-1-1-11111-1-1-1-111−iii−i1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i1-1ii−i−i1-1-1-111−i−iii−iii−i
χ281-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-111-1−i−iii1-1-1-111ii−i−i-1-1-1-11111-1-11111-1-1-1-11111-1-1−iii−i1-11-1−i−iii−i−iii-1-111ii−i−iii−i−i-11−i−iii-1111-1-1ii−i−ii−i−ii
χ291-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-11-11ii−i−i-1111-1-1−i−iii-1-1-1-1111111-1-1-1-11111-1-1-1-111−iii−i-11-11ii−i−i−i−iii11-1-1−i−iiiii−i−i-11−i−iii-1111-1-1ii−i−i−iii−i
χ301-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-11-11ii−i−i-1111-1-1−i−iii-1-1-1-11111-1-11111-1-1-1-11111-1-1−iii−i-11-11ii−i−i−i−iii11-1-1−i−iiiii−i−i1-1ii−i−i1-1-1-111−i−iiii−i−ii
χ311-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-11-11−i−iii-1111-1-1ii−i−i-1-1-1-1111111-1-1-1-11111-1-1-1-111i−i−ii-11-11−i−iiiii−i−i11-1-1ii−i−i−i−iii-11ii−i−i-1111-1-1−i−iiii−i−ii
χ321-1-11111111-1-1-1-1-1-11-11111-1-1-1-1-1-11111111-1-1-1-11-1-1-11-11−i−iii-1111-1-1ii−i−i-1-1-1-11111-1-11111-1-1-1-11111-1-1i−i−ii-11-11−i−iiiii−i−i11-1-1ii−i−i−i−iii1-1−i−iii1-1-1-111ii−i−i−iii−i
χ33222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222-1-1-1-1-1-1-1-100000000000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ34222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2222222-2-2-2-2-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-1-1-1-111111111-1-1-1-11111111100000000000000000000
χ35222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-22222-2-2-2-2-2-22222-1-1-1-1-1-1-1-10000000000000000-2-2-2-21111-1-1-1-111111111-1-1-1-1111100000000000000000000
χ36222222222222222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000000000000222211111111-1-1-1-111111111-1-1-1-100000000000000000000
χ37222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-222222222-2-2-2-2-2-2-2-211111111000000000000000022-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111111100000000000000000000
χ38222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-222-2-2-2-22222111111110000000000000000-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-100000000000000000000
χ39222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-22222-2-2-2-2111111110000000000000000-2-2221111-1-1-1-11111-1-1-1-11111-1-1-1-100000000000000000000
χ40222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-22222222211111111000000000000000022-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1111100000000000000000000
χ412222222-2-2-2-2-22-22-2-2222222222000022-2-2-22-2-2-2-22-200002-22-20000000000000000002-22-200002-22-20000000000002-22-200000000000000000000000000002-22-20000
χ422222222-2-2-2-2-22-22-2-2222222222000022-2-2-22-2-2-2-22-200002-22-2000000000000000000-22-220000-22-220000000000002-22-20000000000000000000000000000-22-220000
χ432222222-2-2-2-2-22-22-2-2222222222000022-2-2-22-2-2-2-22-20000-22-220000000000000000002-22-200002-22-2000000000000-22-220000000000000000000000000000-22-220000
χ442222222-2-2-2-2-22-22-2-2222222222000022-2-2-22-2-2-2-22-20000-22-22000000000000000000-22-220000-22-22000000000000-22-2200000000000000000000000000002-22-20000
χ4522222-2-222-2-2-2-22-22-222-2-2222-2-200002-222-2-22-2-2-222000000000000002-22-2000000002-22-20000-22-220000000000000000000000002-22-20000002-22-200000000000000
χ4622222-2-222-2-2-2-22-22-222-2-2222-2-200002-222-2-22-2-2-222000000000000002-22-200000000-22-2200002-22-20000000000000000000000002-22-2000000-22-2200000000000000
χ4722222-2-222-2-2-2-22-22-222-2-2222-2-200002-222-2-22-2-2-22200000000000000-22-22000000002-22-20000-22-22000000000000000000000000-22-22000000-22-2200000000000000
χ4822222-2-222-2-2-2-22-22-222-2-2222-2-200002-222-2-22-2-2-22200000000000000-22-2200000000-22-2200002-22-2000000000000000000000000-22-220000002-22-200000000000000
χ4922222-2-2-2-2222-2-2-2-2222-2-2222-2-222222-2-2-22-2-22222-2-2-2000000000000000022-2-222-2-222222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ5022222-2-2-2-2222-2-2-2-2222-2-2222-2-222222-2-2-22-2-22222-2-2-2000000000000000022-2-222-2-2-2-2-2-2-2-2-2-222222222000000000000000000000000000000000000000000000000
χ5122222-2-2-2-2222-2-2-2-2222-2-2222-2-2-2-2-2-22-2-2-22-2-22222-2220000000000000000-2-222-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ5222222-2-2-2-2222-2-2-2-2222-2-2222-2-2-2-2-2-22-2-2-22-2-22222-2220000000000000000-2-222-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ532222-22-22-2-22-22-2-222-2222222220000-2-22-2-2-222-22-2-200220000-2-2000000000000000000002-22-200002-22-2000022-2-200000000000000000000000000002-22-200000000
χ542222-22-22-2-22-22-2-222-2222222220000-2-22-2-2-222-22-2-200220000-2-200000000000000000000-22-220000-22-22000022-2-20000000000000000000000000000-22-2200000000
χ552222-22-22-2-22-22-2-222-2222222220000-2-22-2-2-222-22-2-200-2-2000022000000000000000000002-22-200002-22-20000-2-2220000000000000000000000000000-22-2200000000
χ562222-22-22-2-22-22-2-222-2222222220000-2-22-2-2-222-22-2-200-2-200002200000000000000000000-22-220000-22-220000-2-22200000000000000000000000000002-22-200000000
χ572222-2-22-22-22-2-222-22-22-2-2222-2-20000-22-22-22-22-22-2200000000002-22-200000000000000002-22-20000-22-2200000000000000002-22-200000000220000-2-2000000000000
χ582222-2-22-22-22-2-222-22-22-2-2222-2-20000-22-22-22-22-22-2200000000002-22-20000000000000000-22-2200002-22-200000000000000002-22-200000000-2-2000022000000000000
χ592222-2-22-22-22-2-222-22-22-2-2222-2-20000-22-22-22-22-22-220000000000-22-2200000000000000002-22-20000-22-220000000000000000-22-2200000000-2-2000022000000000000
χ602222-2-22-22-22-2-222-22-22-2-2222-2-20000-22-22-22-22-22-220000000000-22-220000000000000000-22-2200002-22-20000000000000000-22-2200000000220000-2-2000000000000
χ612-2-22222222-2-2-2-2-2-22-2-1-1-1-1111122-2-2-1-1-1-1-11111-1112-22-22i2i−2i−2i2-222-2-22i2i−2i−2i-1-1-1-1111100000000000000002i−2i2i−2i-11-11−i−iii−i−iii-1-111−i−iii−i−iii00000000000000000000
χ622-2-22222222-2-2-2-2-2-22-2-1-1-1-1111122-2-2-1-1-1-1-11111-1112-22-2−2i−2i2i2i2-222-2-2−2i−2i2i2i-1-1-1-111110000000000000000−2i2i−2i2i-11-11ii−i−iii−i−i-1-111ii−i−iii−i−i00000000000000000000
χ632-2-22222222-2-2-2-2-2-22-2-1-1-1-1111122-2-2-1-1-1-1-11111-1112-2-222i2i−2i−2i-22-2-2222i2i−2i−2i-1-1-1-111110000000000000000−2i2i−2i2i1-11-1−i−iiiii−i−i11-1-1−i−iiiii−i−i00000000000000000000
χ642-2-22222222-2-2-2-2-2-22-2-1-1-1-1111122-2-2-1-1-1-1-11111-1112-2-22−2i−2i2i2i-22-2-222−2i−2i2i2i-1-1-1-1111100000000000000002i−2i2i−2i1-11-1ii−i−i−i−iii11-1-1ii−i−i−i−iii00000000000000000000
χ652-2-22222222-2-2-2-2-2-22-2-1-1-1-11111-2-222-1-1-1-1-11111-111-222-22i2i−2i−2i2-2-2-222−2i−2i2i2i1111-1-1-1-100000000000000002i−2i−2i2i-11-11−i−iii−i−iii11-1-1ii−i−iii−i−i00000000000000000000
χ662-2-22222222-2-2-2-2-2-22-2-1-1-1-11111-2-222-1-1-1-1-11111-111-222-2−2i−2i2i2i2-2-2-2222i2i−2i−2i1111-1-1-1-10000000000000000−2i2i2i−2i-11-11ii−i−iii−i−i11-1-1−i−iii−i−iii00000000000000000000
χ672-2-22222222-2-2-2-2-2-22-2-1-1-1-11111-2-222-1-1-1-1-11111-111-22-222i2i−2i−2i-2222-2-2−2i−2i2i2i1111-1-1-1-10000000000000000−2i2i2i−2i1-11-1−i−iiiii−i−i-1-111ii−i−i−i−iii00000000000000000000
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Here i is the imaginary unit (i² = −1).