Finite Group Databasebeta

← Group #10949035

Character table — Group #10949035

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111122222222222222222222222222444444444444444444444444444444444444448888888888888888888888242424242424242448484848
order122222344446668888121212122424242424242424224466881212161616161616161624242424484848484848484848484848484848486688121216161616242424244848484848484848224444442244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ6111111111111111111111111111111-1-1-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-1-1
χ8111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-111
χ91111-1-111-1-1111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111-1-111-1-1111111111111111111111-11-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11-11-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111-1-111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-11111-1-1-1-1-1-1111111-1-111-1-1-11-11
χ121111-1-111-1-1111111111111111111111-11-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-11111-1-1-1-1-1-11111-1-111-1-1111-11-1
χ131111-1-111-1-111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-1111111-1-1-1-111-111-1
χ141111-1-111-1-111111111111111111111-11-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-11-11-1-111-1-111-1-1-1-11111-1-11111-1-11-1-11
χ151111-1-111-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1111-1-1-1-1111111-1-1-1-111-1-1-1-1111-1-11
χ161111-1-111-1-111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-11-11-1111-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1
χ1722222222222222-2-2-2-22222-2-2-2-2-2-2-2-2222222-2-22200000000-2-2-2-2000000000000000022-2-2220000-2-2-2-200000000000000000000
χ1822222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-222-2-22200000000-2-2-2-20000000000000000-2-222-2-20000222200000000000000000000
χ192222222-2-2-2-22220000-2-2-2-2000000002-2-222200-2-222−2−222−2−200002222−2−2−2−22222−2−2−2−22-200-222−22−2000022−2−222−2−2000000000000
χ202222222-2-2-2-22220000-2-2-2-2000000002-2-222200-2-2−2−222−2−2220000−2−2−2−22222−2−2−2−222222-200-22−22−220000−2−222−2−222000000000000
χ212222222-2-2-2-22220000-2-2-2-200000000-222-22200-2-222−2−222−2−200002222−2−2−2−22222−2−2−2−2-22002-2−22−220000−2−222−2−222000000000000
χ222222222-2-2-2-22220000-2-2-2-200000000-222-22200-2-2−2−222−2−2220000−2−2−2−22222−2−2−2−22222-22002-22−22−2000022−2−222−2−2000000000000
χ23222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ24222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-11111111111111111-1-122-1-1-2-2-2-2-1-1-1-111111111000000000000
χ25222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-2-2-2111111111111000000000000
χ26222222-12222-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1111111111111111111-2-21122221111-1-1-1-1-1-1-1-1000000000000
χ27222222-12222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-1-100000000111133−3−333−3−333−3−333−3−3-1-1-2-2-1-1000011113−33−33−33−3000000000000
χ28222222-12222-1-1-1-2-2-2-2-1-1-1-1111111112222-1-1-2-2-1-1000000001111−3−333−3−333−3−333−3−333-1-1-2-2-1-100001111−33−33−33−33000000000000
χ29222222-12222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-2-2-1-100000000111133−3−333−3−333−3−333−3−31122110000-1-1-1-1−33−33−33−33000000000000
χ30222222-12222-1-1-1-2-2-2-2-1-1-1-111111111-2-2-2-2-1-1-2-2-1-1000000001111−3−333−3−333−3−333−3−3331122110000-1-1-1-13−33−33−33−3000000000000
χ31222222-1-2-2-2-2-1-1-1000011113333−3−3−3−32-2-22-1-1001122−2−222−2−233−3−3ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-11001-12−22−23−33−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ32222222-1-2-2-2-2-1-1-1000011113333−3−3−3−32-2-22-1-10011−2−222−2−22233−3−3−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-11001-1−22−223−33−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ33222222-1-2-2-2-2-1-1-1000011113333−3−3−3−3-222-2-1-1001122−2−222−2−233−3−3ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461-100-11−22−22−33−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ34222222-1-2-2-2-2-1-1-1000011113333−3−3−3−3-222-2-1-10011−2−222−2−22233−3−3−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461-100-112−22−2−33−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ35222222-1-2-2-2-2-1-1-100001111−3−3−3−333332-2-22-1-1001122−2−222−2−2−3−333ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-11001-12−22−2−33−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ36222222-1-2-2-2-2-1-1-100001111−3−3−3−333332-2-22-1-10011−2−222−2−222−3−333−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-11001-1−22−22−33−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ37222222-1-2-2-2-2-1-1-100001111−3−3−3−33333-222-2-1-1001122−2−222−2−2−3−333ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141-100-11−22−223−33−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ38222222-1-2-2-2-2-1-1-100001111−3−3−3−33333-222-2-1-10011−2−222−2−222−3−333−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ141-100-112−22−23−33−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ392222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-22-22-2-2-222-2-200000000222200000000000000002-2-222-20000-2-22200000000000000000000
χ402222-2-222-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2-22-22-2-222-2-20000000022220000000000000000-222-2-22000022-2-200000000000000000000
χ412222-2-22-222-22220000-2-2-2-20000000022-2-2-2-2002222−2−2−2−22200002222−2−2−2−2−2−2−2−222222200-2-22−2−22000022−2−2−2−222000000000000
χ422222-2-22-222-22220000-2-2-2-20000000022-2-2-2-20022−2−22222−2−20000−2−2−2−222222222−2−2−2−22200-2-2−222−20000−2−22222−2−2000000000000
χ432222-2-22-222-22220000-2-2-2-200000000-2-222-2-2002222−2−2−2−22200002222−2−2−2−2−2−2−2−22222-2-20022−222−20000−2−22222−2−2000000000000
χ442222-2-22-222-22220000-2-2-2-200000000-2-222-2-20022−2−22222−2−20000−2−2−2−222222222−2−2−2−2-2-200222−2−22000022−2−2−2−222000000000000
χ452222-2-2-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-22-211-2-2112222-2-2-2-21111-1-1-1-1-1-1-1-111111111-112-2-1122-2-2-1-111-1-1-1-11111000000000000
χ462222-2-2-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12-22-211-2-211-2-2-2-22222111111111111-1-1-1-1-1-1-1-1-112-2-11-2-222-1-1111111-1-1-1-1000000000000
χ472222-2-2-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-2211-2-2112222-2-2-2-21111-1-1-1-1-1-1-1-1111111111-1-221-1-2-22211-1-11111-1-1-1-1000000000000
χ482222-2-2-12-2-22-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-22-2211-2-211-2-2-2-22222111111111111-1-1-1-1-1-1-1-11-1-221-122-2-211-1-1-1-1-1-11111000000000000
χ492222-2-2-12-2-22-1-1-1-2-2-2-2-1-1-1-1111111112-22-211221100000000-1-1-1-133−3−333−3−3−3−333−3−333-11-22-11000011-1-13−33−3−33−33000000000000
χ502222-2-2-12-2-22-1-1-1-2-2-2-2-1-1-1-1111111112-22-211221100000000-1-1-1-1−3−333−3−33333−3−333−3−3-11-22-11000011-1-1−33−333−33−3000000000000
χ512222-2-2-12-2-22-1-1-1-2-2-2-2-1-1-1-111111111-22-2211221100000000-1-1-1-133−3−333−3−3−3−333−3−3331-12-21-10000-1-111−33−333−33−3000000000000
χ522222-2-2-12-2-22-1-1-1-2-2-2-2-1-1-1-111111111-22-2211221100000000-1-1-1-1−3−333−3−33333−3−333−3−31-12-21-10000-1-1113−33−3−33−33000000000000
χ532222-2-2-1-222-2-1-1-1000011113333−3−3−3−322-2-21100-1-122−2−2−2−222−3−333ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46-1-100112−2−223−3−33ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ542222-2-2-1-222-2-1-1-1000011113333−3−3−3−322-2-21100-1-1−2−22222−2−2−3−333−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46-1-10011−222−23−3−33−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ552222-2-2-1-222-2-1-1-1000011113333−3−3−3−3-2-2221100-1-122−2−2−2−222−3−333ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ461100-1-1−222−2−333−3−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46000000000000
χ562222-2-2-1-222-2-1-1-1000011113333−3−3−3−3-2-2221100-1-1−2−22222−2−2−3−333−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ461100-1-12−2−22−333−3ζ10−ζ14ζ26−ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46ζ10−ζ14ζ26−ζ46000000000000
χ572222-2-2-1-222-2-1-1-100001111−3−3−3−3333322-2-21100-1-122−2−2−2−22233−3−3ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14-1-100112−2−22−333−3ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ582222-2-2-1-222-2-1-1-100001111−3−3−3−3333322-2-21100-1-1−2−22222−2−233−3−3−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14-1-10011−222−2−333−3−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ592222-2-2-1-222-2-1-1-100001111−3−3−3−33333-2-2221100-1-122−2−2−2−22233−3−3ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ141100-1-1−222−23−3−33−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14000000000000
χ602222-2-2-1-222-2-1-1-100001111−3−3−3−33333-2-2221100-1-1−2−22222−2−233−3−3−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14ζ26−ζ46ζ26−ζ46ζ10−ζ14ζ10−ζ14−ζ26+ζ46−ζ26+ζ46−ζ10+ζ14−ζ10+ζ141100-1-12−2−223−3−33ζ26−ζ46ζ10−ζ14−ζ26+ζ46−ζ10+ζ14−ζ26+ζ46−ζ10+ζ14ζ26−ζ46ζ10−ζ14000000000000
χ612-2-222-22-22-22-2-2222-2-2-2-22222-2-222-2-200002-22-22-2000000002-22-20000000000000000000000000000000000000000002-22-20000
χ622-2-222-22-22-22-2-2222-2-2-2-22222-2-222-2-200002-22-22-2000000002-22-2000000000000000000000000000000000000000000-22-220000
χ632-2-222-22-22-22-2-22-2-222-2-222-2-222-2-22200002-2-222-200000000-22-22000000000000000000000000000000000000002-22-200000000
χ642-2-222-22-22-22-2-22-2-222-2-222-2-222-2-22200002-2-222-200000000-22-2200000000000000000000000000000000000000-22-2200000000
χ652-2-22-222-2-222-2-2222-2-2-2-22222-2-222-2-20000-22-22-2200000000-22-220000000000000000000000000000000000000000002-2-220000
χ662-2-22-222-2-222-2-2222-2-2-2-22222-2-222-2-20000-22-22-2200000000-22-22000000000000000000000000000000000000000000-222-20000
χ672-2-22-222-2-222-2-22-2-222-2-222-2-222-2-2220000-222-2-22000000002-22-2000000000000000000000000000000000000002-2-2200000000
χ682-2-22-222-2-222-2-22-2-222-2-222-2-222-2-2220000-222-2-22000000002-22-200000000000000000000000000000000000000-222-200000000
χ6944-4-400400004-4-422−2222−22000022−2222−2222−2222−22000000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ470000000000000000000000000000000000
χ7044-4-400400004-4-422−2222−22000022−2222−2222−2222−2200000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000000000000000000000000000
χ7144-4-400400004-4-4−2222−22220000−2222−2222−2222−222200000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000000000000000000000000000
χ7244-4-400400004-4-4−2222−22220000−2222−2222−2222−2222000000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ430000000000000000000000000000000000
χ7344-4-400-20000-22222−2222−2223−2323−232ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ46000000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000−2ζ11−2ζ132ζ11+2ζ13−2ζ29−2ζ432ζ29+2ζ432ζ25+2ζ47−2ζ25−2ζ472ζ31+2ζ41−2ζ31−2ζ410000000000000000000000000000000000
χ7444-4-400-20000-22222−2222−2223−2323−232ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ4600000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000002ζ11+2ζ13−2ζ11−2ζ132ζ29+2ζ43−2ζ29−2ζ43−2ζ25−2ζ472ζ25+2ζ47−2ζ31−2ζ412ζ31+2ζ410000000000000000000000000000000000
χ7544-4-400-20000-22222−2222−22−2323−23232ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ14000000000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000−2ζ29−2ζ432ζ29+2ζ43−2ζ11−2ζ132ζ11+2ζ132ζ31+2ζ41−2ζ31−2ζ412ζ25+2ζ47−2ζ25−2ζ470000000000000000000000000000000000
χ7644-4-400-20000-22222−2222−22−2323−23232ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ1400000000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ470000000000002ζ29+2ζ43−2ζ29−2ζ432ζ11+2ζ13−2ζ11−2ζ13−2ζ31−2ζ412ζ31+2ζ41−2ζ25−2ζ472ζ25+2ζ470000000000000000000000000000000000
χ7744-4-400-20000-222−2222−222223−2323−23−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ4600000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000002ζ25+2ζ47−2ζ25−2ζ472ζ31+2ζ41−2ζ31−2ζ412ζ11+2ζ13−2ζ11−2ζ132ζ29+2ζ43−2ζ29−2ζ430000000000000000000000000000000000
χ7844-4-400-20000-222−2222−222223−2323−23−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46000000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000−2ζ25−2ζ472ζ25+2ζ47−2ζ31−2ζ412ζ31+2ζ41−2ζ11−2ζ132ζ11+2ζ13−2ζ29−2ζ432ζ29+2ζ430000000000000000000000000000000000
χ7944-4-400-20000-222−2222−2222−2323−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ1400000000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ430000000000002ζ31+2ζ41−2ζ31−2ζ412ζ25+2ζ47−2ζ25−2ζ472ζ29+2ζ43−2ζ29−2ζ432ζ11+2ζ13−2ζ11−2ζ130000000000000000000000000000000000
χ8044-4-400-20000-222−2222−2222−2323−2323−2ζ26+2ζ462ζ26−2ζ46−2ζ26+2ζ462ζ26−2ζ46−2ζ10+2ζ142ζ10−2ζ14−2ζ10+2ζ142ζ10−2ζ14000000000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000−2ζ31−2ζ412ζ31+2ζ41−2ζ25−2ζ472ζ25+2ζ47−2ζ29−2ζ432ζ29+2ζ43−2ζ11−2ζ132ζ11+2ζ130000000000000000000000000000000000
χ814-44-40040000-44-422−22−2222000022−22−222222−22−222200000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47000000000000000000000000000000000000000000
χ824-44-40040000-44-422−22−2222000022−22−222222−22−22220000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ4700000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000000000000000000000000000000000000000
χ834-44-40040000-44-4−222222−220000−222222−22−222222−220000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ4300000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000000000000000000000000000000000000000
χ844-44-40040000-44-4−222222−220000−222222−22−222222−2200000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43000000000000000000000000000000000000000000
χ854-44-400-200002-2222−22−222223−23−23232ζ26−2ζ46−2ζ26+2ζ46−2ζ26+2ζ462ζ26−2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10+2ζ142ζ10−2ζ1400000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700000000−2ζ29−2ζ432ζ29+2ζ43−2ζ11−2ζ132ζ11+2ζ132ζ31+2ζ41−2ζ31−2ζ412ζ25+2ζ47−2ζ25−2ζ47000000000000000000000000000000000000000000
χ864-44-400-200002-2222−22−222223−23−23232ζ26−2ζ46−2ζ26+2ζ46−2ζ26+2ζ462ζ26−2ζ462ζ10−2ζ14−2ζ10+2ζ14−2ζ10+2ζ142ζ10−2ζ140000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000002ζ29+2ζ43−2ζ29−2ζ432ζ11+2ζ13−2ζ11−2ζ13−2ζ31−2ζ412ζ31+2ζ41−2ζ25−2ζ472ζ25+2ζ47000000000000000000000000000000000000000000
χ874-44-400-200002-2222−22−2222−232323−232ζ10−2ζ14−2ζ10+2ζ14−2ζ10+2ζ142ζ10−2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26+2ζ462ζ26−2ζ4600000000002ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ43−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ4700000000−2ζ11−2ζ132ζ11+2ζ13−2ζ29−2ζ432ζ29+2ζ432ζ25+2ζ47−2ζ25−2ζ472ζ31+2ζ41−2ζ31−2ζ41000000000000000000000000000000000000000000
χ884-44-400-200002-2222−22−2222−232323−232ζ10−2ζ14−2ζ10+2ζ14−2ζ10+2ζ142ζ10−2ζ142ζ26−2ζ46−2ζ26+2ζ46−2ζ26+2ζ462ζ26−2ζ460000000000−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ432ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ47000000002ζ11+2ζ13−2ζ11−2ζ132ζ29+2ζ43−2ζ29−2ζ43−2ζ25−2ζ472ζ25+2ζ47−2ζ31−2ζ412ζ31+2ζ41000000000000000000000000000000000000000000
χ894-44-400-200002-22−222222−2223−23−2323−2ζ26+2ζ462ζ26−2ζ462ζ26−2ζ46−2ζ26+2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10−2ζ14−2ζ10+2ζ140000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000002ζ31+2ζ41−2ζ31−2ζ412ζ25+2ζ47−2ζ25−2ζ472ζ29+2ζ43−2ζ29−2ζ432ζ11+2ζ13−2ζ11−2ζ13000000000000000000000000000000000000000000
χ904-44-400-200002-22−222222−2223−23−2323−2ζ26+2ζ462ζ26−2ζ462ζ26−2ζ46−2ζ26+2ζ46−2ζ10+2ζ142ζ10−2ζ142ζ10−2ζ14−2ζ10+2ζ1400000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000−2ζ31−2ζ412ζ31+2ζ41−2ζ25−2ζ472ζ25+2ζ47−2ζ29−2ζ432ζ29+2ζ43−2ζ11−2ζ132ζ11+2ζ13000000000000000000000000000000000000000000
χ914-44-400-200002-22−222222−22−232323−23−2ζ10+2ζ142ζ10−2ζ142ζ10−2ζ14−2ζ10+2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26−2ζ46−2ζ26+2ζ460000000000−2ζ25−2ζ31−2ζ41−2ζ472ζ25+2ζ31+2ζ41+2ζ47−2ζ11−2ζ13−2ζ29−2ζ432ζ11+2ζ13+2ζ29+2ζ43000000002ζ25+2ζ47−2ζ25−2ζ472ζ31+2ζ41−2ζ31−2ζ412ζ11+2ζ13−2ζ11−2ζ132ζ29+2ζ43−2ζ29−2ζ43000000000000000000000000000000000000000000
χ924-44-400-200002-22−222222−22−232323−23−2ζ10+2ζ142ζ10−2ζ142ζ10−2ζ14−2ζ10+2ζ14−2ζ26+2ζ462ζ26−2ζ462ζ26−2ζ46−2ζ26+2ζ4600000000002ζ25+2ζ31+2ζ41+2ζ47−2ζ25−2ζ31−2ζ41−2ζ472ζ11+2ζ13+2ζ29+2ζ43−2ζ11−2ζ13−2ζ29−2ζ4300000000−2ζ25−2ζ472ζ25+2ζ47−2ζ31−2ζ412ζ31+2ζ41−2ζ11−2ζ132ζ11+2ζ13−2ζ29−2ζ432ζ29+2ζ43000000000000000000000000000000000000000000
χ934-4-444-444-44-4-4-44000044-4-40000000000004-400-4400000000000000000000000000000000000000000000000000000000000000
χ944-4-444-4-24-44-422-20000-2-2222323−23−23−23−2323230000-22002-20000000023−23−232300000000000000000000000000000000000000000000000000
χ954-4-444-4-24-44-422-20000-2-222−23−2323232323−23−230000-22002-200000000−232323−2300000000000000000000000000000000000000000000000000
χ964-4-444-4-2-44-4422-244-4-422-2-2-2-222-2-2220000-224-4-2200000000-22-2200000000000000000000000000000000000000000000000000
χ974-4-444-4-2-44-4422-2-4-44422-2-222-2-222-2-20000-22-44-22000000002-22-200000000000000000000000000000000000000000000000000
χ984-4-44-44444-4-4-4-44000044-4-4000000000000-44004-400000000000000000000000000000000000000000000000000000000000000
χ994-4-44-44-244-4-422-20000-2-2222323−23−23−23−23232300002-200-2200000000−232323−2300000000000000000000000000000000000000000000000000
χ1004-4-44-44-244-4-422-20000-2-222−23−2323232323−23−2300002-200-220000000023−23−232300000000000000000000000000000000000000000000000000
χ1014-4-44-44-2-4-44422-244-4-422-2-2-2-222-2-22200002-2-442-2000000002-22-200000000000000000000000000000000000000000000000000
χ1024-4-44-44-2-4-44422-2-4-44422-2-222-2-222-2-200002-24-42-200000000-22-2200000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 48 (ζ48 = 1).