Finite Group Databasebeta

← Group #11785767

Character table — Group #11785767

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11111111222222222222222222222222222222224444444444444444444444444444444444444444444444444444441212121212121212121212121212121212121212121212122424242424242424242424243636363636363636
order12222222222233444466666666666666666666663446666666666666666666121212121212121212121212121212121212121212121212121212121212121244444444121212121212121212121212121212124444121212121212121288888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
χ611111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ711111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-11111
χ811111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-111111111-1-1-1-1
χ911-1-11-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1i−ii−iii−i−iii−i−iii−i−iii−i−i
χ1011-1-11-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1−ii−ii−i−iii−i−iii−i−iii−i−iii
χ1111-1-11-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111i−ii−iii−i−iii−i−i−i−iii−i−iii
χ1211-1-11-1-1111-1-11111-1-1111-1-1-1-1-1-11111-1-1-1-111-1-1111-111-1-111-1-1-1-11111-1-1-1-111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111−ii−ii−i−iii−i−iiiii−i−iii−i−i
χ1311-1-11-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111i−i−iiii−i−i−i−iiiii−i−i−i−iii
χ1411-1-11-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111−iii−i−i−iiiii−i−i−i−iiiii−i−i
χ1511-1-11-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1i−i−iiii−i−i−i−iii−i−iiiii−i−i
χ1611-1-11-1-11-1-1111111-1-1111-1-1-1-1-1-1-1-1-1-1111111-1-111-11-1-11111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-1-1-1−iii−i−i−iiiii−i−iii−i−i−i−iii
χ1722222222222222-2-2-2-222222222222222222222222-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222-1222222-122-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ192222222222222-1222222-122-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111111100000000000000000000
χ202222222222222-1-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211111111111111111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ212222222222222-1-2-2-2-222-122-1-1-1-1-1-1-1-1-1-1-1-12-122-1-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-211-2-211-2-211-2-211111111111111111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ22222222222222-122222-1-12-1-1222222222222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000000000002222-1-1-1-1-1-1-1-100000000
χ23222222222222-122222-1-12-1-1222222222222-12-1-12-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000-2-2-2-21111111100000000
χ24222222222222-12-2-2-2-2-1-12-1-1222222222222-12-1-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-211111111111111110000000000000000000000000000−i3i3−i3i3−i3i3−i3i300000000
χ25222222222222-12-2-2-2-2-1-12-1-1222222222222-12-1-12-1-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-211-2-211-2-211-2-211111111111111110000000000000000000000000000i3−i3i3−i3i3−i3i3−i300000000
χ2622222222-2-2-2-222-2-2-2-2222222222-2-2-2-2-2-2-2-222222222-2-2-2-2222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-222222222-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
χ2722222222-2-2-2-22-1222222-122-1-1-1-1111111112-122-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-1111111112222-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000
χ2822222222-2-2-2-22-1222222-122-1-1-1-1111111112-122-1-1-2-2-2-2-2-2-1-1-1-1-1-111111111-122-1-122-1-1-2-211-2-211-1-1-1-1-1-1-1-111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-100000000000000000000
χ2922222222-2-2-2-22-1-2-2-2-222-122-1-1-1-1111111112-122-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300000000000000000000
χ3022222222-2-2-2-22-1-2-2-2-222-122-1-1-1-1111111112-122-1-122-2-2-2-2-1-1-1-1-1-111111111-1-2-211-2-21122-1-122-1-111111111-1-1-1-1-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300000000000000000000
χ3122222222-2-2-2-2-122222-1-12-1-12222-2-2-2-2-2-2-2-2-12-1-12-1-2-21111-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000022-2-2-1-1-1-1111100000000
χ3222222222-2-2-2-2-122222-1-12-1-12222-2-2-2-2-2-2-2-2-12-1-12-1-2-21111-1-1-1-1-1-111111111-1-1-122-1-12211-2-211-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000-2-2221111-1-1-1-100000000
χ3322222222-2-2-2-2-12-2-2-2-2-1-12-1-12222-2-2-2-2-2-2-2-2-12-1-12-1221111-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-10000000000000000000000000000−i3i3−i3i3i3−i3i3−i300000000
χ3422222222-2-2-2-2-12-2-2-2-2-1-12-1-12222-2-2-2-2-2-2-2-2-12-1-12-1221111-1-1-1-1-1-111111111-111-2-211-2-2-1-122-1-12211111111-1-1-1-1-1-1-1-10000000000000000000000000000i3−i3i3−i3−i3i3−i3i300000000
χ3522-2-22-2-2222-2-222-2-222222-2-2-2-2-2-22222-2-2-2-222-2-222-2222-2-222-2-2-2-22222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ3622-2-22-2-2222-2-22-122-2-222-1-2-21111-1-1-1-111112-1-2-2-1-12-222-2-2-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-1111122-2-222-2-2-1-1-1-11111-1-1-1-1111100000000000000000000
χ3722-2-22-2-2222-2-22-122-2-222-1-2-21111-1-1-1-111112-1-2-2-1-12-222-2-2-1-11111-1-1-1-11111-122-1-1-2-21122-1-1-2-211-1-1-1-11111-1-1-1-11111-2-222-2-2221111-1-1-1-11111-1-1-1-100000000000000000000
χ3822-2-22-2-2222-2-22-1-2-22222-1-2-21111-1-1-1-111112-1-2-2-1-1-2222-2-2-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ3922-2-22-2-2222-2-22-1-2-22222-1-2-21111-1-1-1-111112-1-2-2-1-1-2222-2-2-1-11111-1-1-1-11111-1-2-21122-1-1-2-21122-1-11111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ4022-2-22-2-2222-2-2-1222-2-2-1-1211-2-2-2-22222-2-2-2-2-12112-12-2-1-111-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-111110000000000000000000000002i−2i2i−2i−i−iii−i−iii00000000
χ4122-2-22-2-2222-2-2-1222-2-2-1-1211-2-2-2-22222-2-2-2-2-12112-12-2-1-111-1-11111-1-1-1-11111-1-1-12211-2-2-1-12211-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000−2i2i−2i2iii−i−iii−i−i00000000
χ4222-2-22-2-2222-2-2-12-2-222-1-1211-2-2-2-22222-2-2-2-2-12112-1-22-1-111-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-100000000000000000000000000003−3−333−3−3300000000
χ4322-2-22-2-2222-2-2-12-2-222-1-1211-2-2-2-22222-2-2-2-2-12112-1-22-1-111-1-11111-1-1-1-11111-111-2-2-1-12211-2-2-1-1221111-1-1-1-11111-1-1-1-10000000000000000000000000000−333−3−333−300000000
χ4422-2-22-2-22-2-22222-2-222222-2-2-2-2-2-2-2-2-2-2222222-2-2222-2-2-22222-2-2-2-2-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ4522-2-22-2-22-2-2222-122-2-222-1-2-211111111-1-1-1-12-1-2-2-1-1-22-2-222-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-100000000000000000000
χ4622-2-22-2-22-2-2222-122-2-222-1-2-211111111-1-1-1-12-1-2-2-1-1-22-2-222-1-111111111-1-1-1-1-122-1-1-2-211-2-21122-1-1-1-1-1-111111111-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-1111100000000000000000000
χ4722-2-22-2-22-2-2222-1-2-22222-1-2-211111111-1-1-1-12-1-2-2-1-12-2-2-222-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300000000000000000000
χ4822-2-22-2-22-2-2222-1-2-22222-1-2-211111111-1-1-1-12-1-2-2-1-12-2-2-222-1-111111111-1-1-1-1-1-2-21122-1-122-1-1-2-2111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300000000000000000000
χ4922-2-22-2-22-2-222-1222-2-2-1-1211-2-2-2-2-2-2-2-22222-12112-1-2211-1-1-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-10000000000000000000000002i−2i−2i2i−i−iiiii−i−i00000000
χ5022-2-22-2-22-2-222-1222-2-2-1-1211-2-2-2-2-2-2-2-22222-12112-1-2211-1-1-1-111111111-1-1-1-1-1-1-12211-2-211-2-2-1-122-1-1-1-111111111-1-1-1-1000000000000000000000000−2i2i2i−2iii−i−i−i−iii00000000
χ5122-2-22-2-22-2-222-12-2-222-1-1211-2-2-2-2-2-2-2-22222-12112-12-211-1-1-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000003−3−33−333−300000000
χ5222-2-22-2-22-2-222-12-2-222-1-1211-2-2-2-2-2-2-2-22222-12112-12-211-1-1-1-111111111-1-1-1-1-111-2-2-1-122-1-12211-2-21111-1-1-1-1-1-1-1-111110000000000000000000000000000−333−33−3−3300000000
χ532-222-2-2-222-22-22200002-2-22222-2-222-2-222-2-2-2-2-2-222002-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2−i2i2−i2i2
χ542-222-2-2-222-22-22200002-2-22222-2-222-2-222-2-2-2-2-2-222002-22-22-222-2-222-2-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2i2−i2i2−i2
χ552-222-2-2-22-22-222200002-2-22222-2-2-2-222-2-222-2-2-2-22200-22-222-222-2-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000−i2i2−i2i2i2−i2i2−i2
χ562-222-2-2-22-22-222200002-2-22222-2-2-2-222-2-222-2-2-2-22200-22-222-222-2-2-2-222-2-222-200000000000000000000000000000000000000000000000000000000000000000000i2−i2i2−i2−i2i2−i2i2
χ572-22-222-2-20000222-22-2-2-2-22-22-22-200000000222-2-22000000-2-22-22-20000000022-22-22-22-20000000022-2-222-2-20000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i00000000000000000000
χ582-22-222-2-20000222-22-2-2-2-22-22-22-200000000222-2-22000000-2-22-22-20000000022-22-22-22-20000000022-2-222-2-2000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i00000000000000000000
χ592-22-222-2-2000022-22-22-2-2-22-22-22-200000000222-2-22000000-2-22-22-2000000002-22-22-22-2200000000-2-222-2-222000000002i−2i2i−2i00002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ602-22-222-2-2000022-22-22-2-2-22-22-22-200000000222-2-22000000-2-22-22-2000000002-22-22-22-2200000000-2-222-2-22200000000−2i2i−2i2i0000−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ612-22-222-2-200002-12-22-2-2-212-2-11-11−i3i3−i3i3−i3i3−i3i32-12-21-100000011-11-11−i3i3−i3i3−i3i3−i3i3-12-2-112-2-1100−i3i300−i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i3−3−333−3−33−ii−ii−ii−ii00000000000000000000
χ622-22-222-2-200002-12-22-2-2-212-2-11-11−i3i3−i3i3−i3i3−i3i32-12-21-100000011-11-11−i3i3−i3i3−i3i3−i3i3-12-2-112-2-1100−i3i300−i3i3-1-111-1-111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−333−3−333−3i−ii−ii−ii−i00000000000000000000
χ632-22-222-2-200002-12-22-2-2-212-2-11-11i3−i3i3−i3i3−i3i3−i32-12-21-100000011-11-11i3−i3i3−i3i3−i3i3−i3-12-2-112-2-1100i3−i300i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−333−3−333−3−ii−ii−ii−ii00000000000000000000
χ642-22-222-2-200002-12-22-2-2-212-2-11-11i3−i3i3−i3i3−i3i3−i32-12-21-100000011-11-11i3−i3i3−i3i3−i3i3−i3-12-2-112-2-1100i3−i300i3−i3-1-111-1-111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i3−3−333−3−33i−ii−ii−ii−i00000000000000000000
χ652-22-222-2-200002-1-22-22-2-212-2-11-11−i3i3−i3i3−i3i3−i3i32-12-21-100000011-11-11−i3i3−i3i3−i3i3−i3i3-1-221-1-221-100i3−i300i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i32i−2i2i−2i0000−ii−ii−ii−ii3−3−333−3−3300000000000000000000
χ662-22-222-2-200002-1-22-22-2-212-2-11-11−i3i3−i3i3−i3i3−i3i32-12-21-100000011-11-11−i3i3−i3i3−i3i3−i3i3-1-221-1-221-100i3−i300i3−i311-1-111-1-1i3i3−i3−i3i3i3−i3−i3−2i2i−2i2i0000i−ii−ii−ii−i−333−3−333−300000000000000000000
χ672-22-222-2-200002-1-22-22-2-212-2-11-11i3−i3i3−i3i3−i3i3−i32-12-21-100000011-11-11i3−i3i3−i3i3−i3i3−i3-1-221-1-221-100−i3i300−i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i32i−2i2i−2i0000−ii−ii−ii−ii−333−3−333−300000000000000000000
χ682-22-222-2-200002-1-22-22-2-212-2-11-11i3−i3i3−i3i3−i3i3−i32-12-21-100000011-11-11i3−i3i3−i3i3−i3i3−i3-1-221-1-221-100−i3i300−i3i311-1-111-1-1−i3−i3i3i3−i3−i3i3i3−2i2i−2i2i0000i−ii−ii−ii−i3−3−333−3−3300000000000000000000
χ692-2-222-22-20000222-2-22-2-2-2-22-22-220000000022-22-22000000-2-2-22-220000000022-22-2-22-220000000022-2-2-2-2220000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i00000000000000000000
χ702-2-222-22-20000222-2-22-2-2-2-22-22-220000000022-22-22000000-2-2-22-220000000022-22-2-22-220000000022-2-2-2-222000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i00000000000000000000
χ712-2-222-22-2000022-222-2-2-2-2-22-22-220000000022-22-22000000-2-2-22-22000000002-22-222-22-200000000-2-22222-2-2000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ722-2-222-22-2000022-222-2-2-2-2-22-22-220000000022-22-22000000-2-2-22-22000000002-22-222-22-200000000-2-22222-2-200000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ732-2-222-22-200002-12-2-22-2-21-221-11-1−i3i3−i3i3i3−i3i3−i32-1-221-1000000111-11-1−i3i3−i3i3i3−i3i3−i3-12-2-11-221-100−i3i300i3−i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i300002i−2i−2i2i3−3−33−333−3−ii−iii−ii−i00000000000000000000
χ742-2-222-22-200002-12-2-22-2-21-221-11-1−i3i3−i3i3i3−i3i3−i32-1-221-1000000111-11-1−i3i3−i3i3i3−i3i3−i3-12-2-11-221-100−i3i300i3−i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i30000−2i2i2i−2i−333−33−3−33i−ii−i−ii−ii00000000000000000000
χ752-2-222-22-200002-12-2-22-2-21-221-11-1i3−i3i3−i3−i3i3−i3i32-1-221-1000000111-11-1i3−i3i3−i3−i3i3−i3i3-12-2-11-221-100i3−i300−i3i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i300002i−2i−2i2i−333−33−3−33−ii−iii−ii−i00000000000000000000
χ762-2-222-22-200002-12-2-22-2-21-221-11-1i3−i3i3−i3−i3i3−i3i32-1-221-1000000111-11-1i3−i3i3−i3−i3i3−i3i3-12-2-11-221-100i3−i300−i3i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i30000−2i2i2i−2i3−3−33−333−3i−ii−i−ii−ii00000000000000000000
χ772-2-222-22-200002-1-222-2-2-21-221-11-1−i3i3−i3i3i3−i3i3−i32-1-221-1000000111-11-1−i3i3−i3i3i3−i3i3−i3-1-221-12-2-1100i3−i300−i3i311-1-1-1-111i3i3−i3−i3−i3−i3i3i32i−2i−2i2i0000−ii−iii−ii−i3−3−33−333−300000000000000000000
χ782-2-222-22-200002-1-222-2-2-21-221-11-1−i3i3−i3i3i3−i3i3−i32-1-221-1000000111-11-1−i3i3−i3i3i3−i3i3−i3-1-221-12-2-1100i3−i300−i3i311-1-1-1-111i3i3−i3−i3−i3−i3i3i3−2i2i2i−2i0000i−ii−i−ii−ii−333−33−3−3300000000000000000000
χ792-2-222-22-200002-1-222-2-2-21-221-11-1i3−i3i3−i3−i3i3−i3i32-1-221-1000000111-11-1i3−i3i3−i3−i3i3−i3i3-1-221-12-2-1100−i3i300i3−i311-1-1-1-111−i3−i3i3i3i3i3−i3−i32i−2i−2i2i0000−ii−iii−ii−i−333−33−3−3300000000000000000000
χ802-2-222-22-200002-1-222-2-2-21-221-11-1i3−i3i3−i3−i3i3−i3i32-1-221-1000000111-11-1i3−i3i3−i3−i3i3−i3i3-1-221-12-2-1100−i3i300i3−i311-1-1-1-111−i3−i3i3i3i3i3−i3−i3−2i2i2i−2i0000i−ii−i−ii−ii3−3−33−333−300000000000000000000
χ812-2-2-2-22222-2-222200002-2-2-2-2-2-22222-2-2-2-222-2-22222002-2-222-2-2-22222-2-2-2-222-2000000000000000000000000000000000000000000000000000000000000000000002−2−222−2−22
χ822-2-2-2-22222-2-222200002-2-2-2-2-2-22222-2-2-2-222-2-22222002-2-222-2-2-22222-2-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000−222−2−222−2
χ832-2-2-2-2222-222-22200002-2-2-2-2-2-222-2-22222-2-2-2-2222200-222-22-2-2-222-2-22222-2-2-2000000000000000000000000000000000000000000000000000000000000000000002−2−22−222−2
χ842-2-2-2-2222-222-22200002-2-2-2-2-2-222-2-22222-2-2-2-2222200-222-22-2-2-222-2-22222-2-2-200000000000000000000000000000000000000000000000000000000000000000000−222−22−2−22
χ85444444444444-2-24444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-2-2-2-2111111111111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2111111111111111100000000000000000000000000000000000000000000
χ86444444444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-2-2-2-21111111111111112222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ8744444444-4-4-4-4-2-24444-2-2-2-2-2-2-2-2-222222222-2-2-2-2-21-4-42222111111-1-1-1-1-1-1-1-11-2-2-2-2-2-2-2-22222222211111111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000000
χ8844444444-4-4-4-4-2-2-4-4-4-4-2-2-2-2-2-2-2-2-222222222-2-2-2-2-21442222111111-1-1-1-1-1-1-1-1122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111100000000000000000000000000000000000000000000
χ89444-4-4-44-40000440000-4444-44-4-4400000000-4-4-44-44000000-444-4-4400000000-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ90444-4-4-44-400004-20000-44-24-4-222-2−2i32i32i3−2i3−2i32i32i3−2i3-42-442-20000002-2-222-2−2i32i32i3−2i3−2i32i32i3−2i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ91444-4-4-44-400004-20000-44-24-4-222-22i3−2i3−2i32i32i3−2i3−2i32i3-42-442-20000002-2-222-22i3−2i3−2i32i32i3−2i3−2i32i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ92444-4-4-44-40000-2400002-24-224-4-44000000002-42-2-4-20000002-2-222-20000000020000000023−230023−23000000000023−2323−2323−2323−2300000000000000000000000000000000000000000000
χ93444-4-4-44-40000-2400002-24-224-4-44000000002-42-2-4-20000002-2-222-200000000200000000−232300−23230000000000−2323−2323−2323−232300000000000000000000000000000000000000000000
χ94444-4-4-44-40000-2-200002-2-2-22-222-2−2i32i32i3−2i3−2i32i32i3−2i3222-221000000-111-1-11i3−i3−i3i3i3−i3−i3i3-10000000023−230023−23003i−3i3i−3i3i−3i3i−3i−33−33−33−3300000000000000000000000000000000000000000000
χ95444-4-4-44-40000-2-200002-2-2-22-222-2−2i32i32i3−2i3−2i32i32i3−2i3222-221000000-111-1-11i3−i3−i3i3i3−i3−i3i3-100000000−232300−232300−3i3i−3i3i−3i3i−3i3i3−33−33−33−300000000000000000000000000000000000000000000
χ96444-4-4-44-40000-2-200002-2-2-22-222-22i3−2i3−2i32i32i3−2i3−2i32i3222-221000000-111-1-11−i3i3i3−i3−i3i3i3−i3-10000000023−230023−2300−3i3i−3i3i−3i3i−3i3i−33−33−33−3300000000000000000000000000000000000000000000
χ97444-4-4-44-40000-2-200002-2-2-22-222-22i3−2i3−2i32i32i3−2i3−2i32i3222-221000000-111-1-11−i3i3i3−i3−i3i3i3−i3-100000000−232300−2323003i−3i3i−3i3i−3i3i−3i3−33−33−33−300000000000000000000000000000000000000000000
χ9844-44-44-4-40000440000-444-44-444-400000000-4-44-4-44000000-44-444-400000000-40000000000000000000000000000000000000000000000000000000000000000000000000000
χ9944-44-44-4-400004-20000-44-2-442-2-22−2i32i32i3−2i32i3−2i3−2i32i3-424-42-20000002-22-2-22−2i32i32i3−2i32i3−2i3−2i32i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ10044-44-44-4-400004-20000-44-2-442-2-222i3−2i3−2i32i3−2i32i32i3−2i3-424-42-20000002-22-2-222i3−2i3−2i32i3−2i32i32i3−2i320000000000000000000000000000000000000000000000000000000000000000000000000000
χ10144-44-44-4-40000-2400002-242-2-444-4000000002-4-22-4-20000002-22-2-220000000020000000023−2300−2323000000000023−2323−23−2323−232300000000000000000000000000000000000000000000
χ10244-44-44-4-40000-2400002-242-2-444-4000000002-4-22-4-20000002-22-2-2200000000200000000−23230023−230000000000−2323−232323−2323−2300000000000000000000000000000000000000000000
χ10344-44-44-4-40000-2-200002-2-22-22-2-22−2i32i32i3−2i32i3−2i3−2i32i322-2221000000-11-111-1i3−i3−i3i3−i3i3i3−i3-10000000023−2300−2323003i−3i3i−3i−3i3i−3i3i−33−333−33−300000000000000000000000000000000000000000000
χ10444-44-44-4-40000-2-200002-2-22-22-2-22−2i32i32i3−2i32i3−2i3−2i32i322-2221000000-11-111-1i3−i3−i3i3−i3i3i3−i3-100000000−23230023−2300−3i3i−3i3i3i−3i3i−3i3−33−3−33−3300000000000000000000000000000000000000000000
χ10544-44-44-4-40000-2-200002-2-22-22-2-222i3−2i3−2i32i3−2i32i32i3−2i322-2221000000-11-111-1−i3i3i3−i3i3−i3−i3i3-10000000023−2300−232300−3i3i−3i3i3i−3i3i−3i−33−333−33−300000000000000000000000000000000000000000000
χ10644-44-44-4-40000-2-200002-2-22-22-2-222i3−2i3−2i32i3−2i32i32i3−2i322-2221000000-11-111-1−i3i3i3−i3i3−i3−i3i3-100000000−23230023−23003i−3i3i−3i−3i3i−3i3i3−33−3−33−3300000000000000000000000000000000000000000000
χ10744-4-44-4-4444-4-4-2-244-4-4-2-2-2222222-2-2-2-22222-2-222-214-4-2-22211-1-1-1-11111-1-1-1-11-2-2-2-22222-2-2-2-222221111-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000000
χ10844-4-44-4-4444-4-4-2-2-4-444-2-2-2222222-2-2-2-22222-2-222-21-44-2-22211-1-1-1-11111-1-1-1-112222-2-2-2-22222-2-2-2-2-1-1-1-11111-1-1-1-1111100000000000000000000000000000000000000000000
χ10944-4-44-4-44-4-444-2-244-4-4-2-2-22222222222-2-2-2-2-2-222-21-4422-2-211-1-1-1-1-1-1-1-111111-2-2-2-222222222-2-2-2-21111-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000000
χ11044-4-44-4-44-4-444-2-2-4-444-2-2-22222222222-2-2-2-2-2-222-214-422-2-211-1-1-1-1-1-1-1-1111112222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-100000000000000000000000000000000000000000000
χ1114-444-4-4-444-44-44-200004-4244-2-222-2-222-2-222-42-4-4-2-2004-44-4-22-2-222-2-222-2-22220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1124-444-4-4-444-44-4-240000-22-4-2-244-4-444-4-444-4-42-4224-200-22-22-22-2-222-2-222-2-22220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1134-444-4-4-444-44-4-2-20000-222-2-2-2-222-2-222-2-2222222-2100-22-221-111-1-111-1-111-1-1-100000000000000003i−3i−3i3i3i−3i−3i3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1144-444-4-4-444-44-4-2-20000-222-2-2-2-222-2-222-2-2222222-2100-22-221-111-1-111-1-111-1-1-10000000000000000−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1154-444-4-4-44-44-444-200004-4244-2-22222-2-222-2-2-42-4-4-2-200-44-44-22-2-22222-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1164-444-4-4-44-44-44-240000-22-4-2-244-4-4-4-444-4-4442-4224-2002-22-2-22-2-22222-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1174-444-4-4-44-44-44-2-20000-222-2-2-2-22222-2-222-2-22222-21002-22-21-111-1-1-1-111-1-111-100000000000000003i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1184-444-4-4-44-44-44-2-20000-222-2-2-2-22222-2-222-2-22222-21002-22-21-111-1-1-1-111-1-111-10000000000000000−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1194-44-444-4-40000-244-44-422-4-224-44-400000000-24-22-4-200000022-22-2200000000-2-224-4-224-400000000-2-222-2-2220000000000000000000000000000000000000000000000000000
χ1204-44-444-4-40000-24-44-4422-4-224-44-400000000-24-22-4-200000022-22-2200000000-22-2-442-2-440000000022-2-222-2-20000000000000000000000000000000000000000000000000000
χ1214-44-444-4-40000-2-24-44-4222-22-22-22−2i32i3−2i32i3−2i32i3−2i32i3-2-2-2221000000-1-11-11-1i3−i3i3−i3i3−i3i3−i31-22-22-22-2200−2i32i300−2i32i311-1-111-1-1i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1224-44-444-4-40000-2-24-44-4222-22-22-222i3−2i32i3−2i32i3−2i32i3−2i3-2-2-2221000000-1-11-11-1−i3i3−i3i3−i3i3−i3i31-22-22-22-22002i3−2i3002i3−2i311-1-111-1-1−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1234-44-444-4-40000-2-2-44-44222-22-22-22−2i32i3−2i32i3−2i32i3−2i32i3-2-2-2221000000-1-11-11-1i3−i3i3−i3i3−i3i3−i312-22-22-22-2002i3−2i3002i3−2i3-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1244-44-444-4-40000-2-2-44-44222-22-22-222i3−2i32i3−2i32i3−2i32i3−2i3-2-2-2221000000-1-11-11-1−i3i3−i3i3−i3i3−i3i312-22-22-22-200−2i32i300−2i32i3-1-111-1-111i3i3−i3−i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1254-4-444-44-40000-244-4-4422-42-2-44-4400000000-242-2-4-2000000222-22-200000000-2-224-42-2-4400000000-2-22222-2-20000000000000000000000000000000000000000000000000000
χ1264-4-444-44-40000-24-444-422-42-2-44-4400000000-242-2-4-2000000222-22-200000000-22-2-44-224-40000000022-2-2-2-2220000000000000000000000000000000000000000000000000000
χ1274-4-444-44-40000-2-24-4-442222-22-22-2−2i32i3−2i32i32i3−2i32i3−2i3-2-22-221000000-1-1-11-11i3−i3i3−i3−i3i3−i3i31-22-222-22-200−2i32i3002i3−2i311-1-1-1-111i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1284-4-444-44-40000-2-24-4-442222-22-22-22i3−2i32i3−2i3−2i32i3−2i32i3-2-22-221000000-1-1-11-11−i3i3−i3i3i3−i3i3−i31-22-222-22-2002i3−2i300−2i32i311-1-1-1-111−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1294-4-444-44-40000-2-2-444-42222-22-22-2−2i32i3−2i32i32i3−2i32i3−2i3-2-22-221000000-1-1-11-11i3−i3i3−i3−i3i3−i3i312-22-2-22-22002i3−2i300−2i32i3-1-11111-1-1−i3−i3i3i3i3i3−i3−i300000000000000000000000000000000000000000000
χ1304-4-444-44-40000-2-2-444-42222-22-22-22i3−2i32i3−2i3−2i32i3−2i32i3-2-22-221000000-1-1-11-11−i3i3−i3i3i3−i3i3−i312-22-2-22-2200−2i32i3002i3−2i3-1-11111-1-1i3i3−i3−i3−i3−i3i3i300000000000000000000000000000000000000000000
χ1314-4-4-4-44444-4-444-200004-42-4-422-2-2-2-22222-2-2-4244-2-2004-4-44-2222-2-2-2-22222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-4-4-4-44444-4-44-240000-22-422-4-44444-4-4-4-4442-4-2-24-200-222-2-2222-2-2-2-22222-2-220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-44444-4-44-2-20000-2222222-2-2-2-22222-2-222-2-2-2100-222-21-1-1-11111-1-1-1-111-100000000000000003i−3i−3i3i−3i3i3i−3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000
χ1344-4-4-4-44444-4-44-2-20000-2222222-2-2-2-22222-2-222-2-2-2100-222-21-1-1-11111-1-1-1-111-10000000000000000−3i3i3i−3i3i−3i−3i3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1354-4-4-4-4444-444-44-200004-42-4-422-2-222-2-2-2-222-4244-2-200-444-4-2222-2-222-2-2-2-22220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-444-4-240000-22-422-4-444-4-44444-4-42-4-2-24-2002-2-22-2222-2-222-2-2-2-22220000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-444-4-2-20000-2222222-2-222-2-2-2-22222-2-2-21002-2-221-1-1-111-1-11111-1-1-100000000000000003i−3i−3i3i−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i00000000000000000000000000000000000000000000
χ1384-4-4-4-4444-444-4-2-20000-2222222-2-222-2-2-2-22222-2-2-21002-2-221-1-1-111-1-11111-1-1-10000000000000000−3i3i3i−3i3i−3i−3i3i−3i3i3i−3i3i−3i−3i3i00000000000000000000000000000000000000000000

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