Finite Group Databasebeta

← Group #72342512

Character table — Group #72342512

Order 1024.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112
size11112222222222222222224444444444444444444444444444448888888888888888888888888888888888888888888832323232323232323232323232323232
order122222444444448888888844444488888888888888888888888822444444448888888888888888888888888888888888224444441616161616161616
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ911111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ1211111111111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ1311111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ1411111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ1511111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1
χ1611111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111
χ171111-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111i−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i1-11-1i−ii−i1-11-1i−ii−i
χ181111-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-1-111i−i1-11111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1ii−i−i-11-11−ii−ii-11-11−ii−ii
χ191111-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i1-11-1i−ii−i-11-11−ii−ii
χ201111-1-111-1-1-1-1111111-1-1-1-1ii−i−i1-111-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-1-1-11111-1-1i−i1-1-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii11-1-1ii−i−i-11-11−ii−ii1-11-1i−ii−i
χ211111-1-111-1-1-1-1111111-1-1-1-1−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii1-11-1−ii−ii1-11-1−ii−ii
χ221111-1-111-1-1-1-1111111-1-1-1-1−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-1-111−ii1-11111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−iii-11-11i−ii−i-11-11i−ii−i
χ231111-1-111-1-1-1-1111111-1-1-1-1−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1−ii1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii1-11-1−ii−ii-11-11i−ii−i
χ241111-1-111-1-1-1-1111111-1-1-1-1−i−iii1-111-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-1-1-11111-1-1−ii1-1-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i11-1-1−i−iii-11-11i−ii−i1-11-1−ii−ii
χ251111-1-111-1-1-1-111-1-1-1-11111ii−i−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111i−i1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii1-1-11i−i−ii1-1-11i−i−ii
χ261111-1-111-1-1-1-111-1-1-1-11111ii−i−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-111-1-1-1-111i−i1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-111−i−iii-111-1−iii−i-111-1−iii−i
χ271111-1-111-1-1-1-111-1-1-1-11111ii−i−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1i−i1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii1-1-11i−i−ii-111-1−iii−i
χ281111-1-111-1-1-1-111-1-1-1-11111ii−i−i1-1-1-111iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-11111-1-1i−i1-11111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-111−i−iii-111-1−iii−i1-1-11i−i−ii
χ291111-1-111-1-1-1-111-1-1-1-11111−i−iii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−ii1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i1-1-11−iii−i1-1-11−iii−i
χ301111-1-111-1-1-1-111-1-1-1-11111−i−iii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-111-1-1-1-111−ii1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-111ii−i−i-111-1i−i−ii-111-1i−i−ii
χ311111-1-111-1-1-1-111-1-1-1-11111−i−iii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1−ii1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i1-1-11−iii−i-111-1i−i−ii
χ321111-1-111-1-1-1-111-1-1-1-11111−i−iii1-1-1-111−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-11111-1-1−ii1-11111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii-1-111ii−i−i-111-1i−i−ii1-1-11−iii−i
χ3322222222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022-2-2000000000000000000000000-2-2-2-222220000000000000000
χ342222222222222222222222-2-2-2-22222222222222222222222-2-2-2-200000000-2-2-2-2000000000000000000000000-2-2-2-2-2-2-2-20000000000000000
χ3522222222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-20000000022-2-20000000000000000000000002222-2-2-2-20000000000000000
χ3622222222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-200000000-2-2-2-2000000000000000000000000222222220000000000000000
χ372222222222-2-2-2-2000000002222-2-2000022-2-222-2-20000000022222222-2-2-2-2-2-2-2-20000000022-2-222-2-200000000000000000000000000000000
χ382222222222-2-2-2-2000000002222-2-2000022-2-222-2-2000000002222-2-2-2-22222-2-2-2-200000000-2-222-2-22200000000000000000000000000000000
χ392222222222-2-2-2-2000000002222-2-20000-2-222-2-22200000000-2-2-2-200000000-2-2222i2i−2i−2i2i2i−2i−2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ402222222222-2-2-2-2000000002222-2-20000-2-222-2-22200000000-2-2-2-200000000-2-222−2i−2i2i2i−2i−2i2i2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ412222222222-2-2-2-200000000-2-2-2-2-2-2000022-2-222-2-200000000-2-2-2-20000000022222i2i−2i−2i2i2i−2i−2i00000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ422222222222-2-2-2-200000000-2-2-2-2-2-2000022-2-222-2-200000000-2-2-2-2000000002222−2i−2i2i2i−2i−2i2i2i000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ432222222222-2-2-2-200000000-2-2-2-2-2-20000-2-222-2-2220000000022222222-2-2-2-222-2-200000000-2-222-2-22200000000000000000000000000000000
χ442222222222-2-2-2-200000000-2-2-2-2-2-20000-2-222-2-222000000002222-2-2-2-2222222-2-20000000022-2-222-2-200000000000000000000000000000000
χ452222-2-222-2-222-2-2000000002i2i−2i−2i-2200002i2i−2i−2i−2i−2i2i2i0000000022-2-222-2-222-2-2−2i2i-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ462222-2-222-2-222-2-2000000002i2i−2i−2i-2200002i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222-2-222−2i2i-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ472222-2-222-2-222-2-2000000002i2i−2i−2i-220000−2i−2i2i2i2i2i−2i−2i00000000-2-22200000000−2i2i2-22i2i−2i−2i−2i−2i2i2i00000000-2-22222-2-2000000000000000000000000
χ482222-2-222-2-222-2-2000000002i2i−2i−2i-220000−2i−2i2i2i2i2i−2i−2i00000000-2-22200000000−2i2i2-2−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222000000000000000000000000
χ492222-2-222-2-222-2-200000000−2i−2i2i2i-2200002i2i−2i−2i−2i−2i2i2i00000000-2-222000000002i−2i2-22i2i−2i−2i−2i−2i2i2i0000000022-2-2-2-222000000000000000000000000
χ502222-2-222-2-222-2-200000000−2i−2i2i2i-2200002i2i−2i−2i−2i−2i2i2i00000000-2-222000000002i−2i2-2−2i−2i2i2i2i2i−2i−2i00000000-2-22222-2-2000000000000000000000000
χ512222-2-222-2-222-2-200000000−2i−2i2i2i-220000−2i−2i2i2i2i2i−2i−2i0000000022-2-222-2-222-2-22i−2i-2200000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ522222-2-222-2-222-2-200000000−2i−2i2i2i-220000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-2-222-2-2222i−2i-22000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ532222-2-222-2-2-2-2222222-2-2-2-22i2i−2i−2i2-222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-2-222000000002i−2i-22000000000000000000000000-2-2222i2i−2i−2i0000000000000000
χ542222-2-222-2-2-2-2222222-2-2-2-2−2i−2i2i2i2-222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-2-22200000000−2i2i-22000000000000000000000000-2-222−2i−2i2i2i0000000000000000
χ552222-2-222-2-2-2-222-2-2-2-222222i2i−2i−2i2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i-2-222000000002i−2i-2200000000000000000000000022-2-2−2i−2i2i2i0000000000000000
χ562222-2-222-2-2-2-222-2-2-2-22222−2i−2i2i2i2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i-2-22200000000−2i2i-2200000000000000000000000022-2-22i2i−2i−2i0000000000000000
χ5722-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i22-22-200002i−2i2i−2i00002−22−22−22−2002i−2i002i−2i2−22−22−22−2i2−i2i2−i2i2−i2i2−i20000000000000000
χ5822-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i22-22-20000−2i2i−2i2i0000−22−22−22−2200−2i2i00−2i2i−22−22−22−22i2−i2i2−i2i2−i2i2−i20000000000000000
χ5922-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i2-22-222-22-200000000i2−i2−i2i2i2−i2−i2i22-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6022-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i22-22-200i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i2-22-22-22-2200000000−i2i2i2−i2−i2i2i2−i2-2200-2200−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ6122-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i2-22-222-22-200000000i2−i2−i2i2i2−i2−i2i2-2200-2200−i2i2i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6222-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i22-2002-200i2i2−i2−i2i2i2−i2−i2-22-22-22-2200000000−i2i2i2−i2−i2i2i2−i22-2002-200i2−i2−i2i2i2−i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6322-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i22-22-200002i−2i2i−2i00002−22−22−22−200−2i2i00−2i2i−22−22−22−22i2−i2i2−i2−i2i2−i2i20000000000000000
χ6422-2-22-22-22-20000i2i2−i2−i2i2i2−i2−i2-22-2200i2−i2i2−i2-2200-2200−i2−i2i2i2−i2−i2i2i22-22-20000−2i2i−2i2i0000−22−22−22−22002i−2i002i−2i2−22−22−22−2i2−i2i2−i2−i2i2−i2i20000000000000000
χ6522-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i22-22-200−i2i2−i2i22-2002-200−i2−i2i2i2−i2−i2i2i22-22-200002i−2i2i−2i0000−22−22−22−22002i−2i002i−2i−22−22−22−22−i2i2−i2i2−i2i2−i2i20000000000000000
χ6622-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i22-22-200−i2i2−i2i22-2002-200−i2−i2i2i2−i2−i2i2i22-22-20000−2i2i−2i2i00002−22−22−22−200−2i2i00−2i2i2−22−22−22−2−i2i2−i2i2−i2i2−i2i20000000000000000
χ6722-2-22-22-22-20000−i2−i2i2i2−i2−i2i2i22-22-200−i2i2−i2i2-2200-2200i2i2−i2−i2i2i2−i2−i2-22-222-22-200000000−i2i2i2−i2−i2i2i2−i22-2002-200−i2i2i2−i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
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χ1128-8-8800000000-88-888-80000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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