Finite Group Databasebeta

← Group #10720201

Character table — Group #10720201

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order12222222222222222222222236666666666666664444444444444444666666661212121212121212121212121212121244444444444412121212121212121212121212121212444444444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111
χ17111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11-11-1ii−i−iii−i−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-11-11-1
χ18111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1ii−i−iii−i−iii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-111111-11-1ii−i−iii−i−i11-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-11-11
χ19111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1-11-11ii−i−iii−i−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-1-11-11
χ20111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1ii−i−iii−i−i−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-11-11ii−i−iii−i−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-1111-11-1
χ21111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1-11-11−i−iii−i−iii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-1-11-11
χ22111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1−i−iii−i−iiiii−i−iii−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-11-11−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-1111-11-1
χ23111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11-11-1−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-11-11-1
χ24111111-1-1-1-1-1-1-11-111111-1-1-1-1111111-1-1-1-1-111-1-1-1−i−iii−i−iii−i−iii−i−iii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-111111-11-1−i−iii−i−iii11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-11-11
χ25111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-11-1-11ii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-1111-1-11
χ26111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1ii−i−i−i−iiiii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111-1-11ii−i−i−i−iii11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-111-1
χ27111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-111-1ii−i−i−i−iii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-111-111-1
χ28111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1ii−i−i−i−iii−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111-111-1ii−i−i−i−iii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-11-1-11
χ29111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-111-1−i−iiiii−i−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-111-111-1
χ30111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1−i−iiiii−i−iii−i−i−i−iii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111-111-1−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-11-1-11
χ31111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-11-1-11−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-1111-1-11
χ32111111-1-1-1-1-1-1-11-11-1-1-1-11111111111-1-1-1-1-111-1-1-1−i−iiiii−i−i−i−iiiii−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111-1-11−i−iiiii−i−i11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-111-1
χ33222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ34222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ35222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ36222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-22222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000000022-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ382222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-222221111111111111111-1-1-1-1-1-1-1-100000000-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ392222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ402222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000000022-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ41222222-2-2-2-2-2-2-22-222222-2-2-2-2-1-1-1-1-1-111111-1-11112i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii000000002-22-2−i−iii−i−iii-1-111-1-111000000000000000000000000
χ42222222-2-2-2-2-2-2-22-222222-2-2-2-2-1-1-1-1-1-111111-1-11112i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i00000000-22-22−i−iii−i−iii11-1-111-1-1000000000000000000000000
χ43222222-2-2-2-2-2-2-22-222222-2-2-2-2-1-1-1-1-1-111111-1-1111−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i-1-1-1-11111−i−i−i−iiiii−i−i−i−iiiii00000000-22-22ii−i−iii−i−i11-1-111-1-1000000000000000000000000
χ44222222-2-2-2-2-2-2-22-222222-2-2-2-2-1-1-1-1-1-111111-1-1111−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i-1-1-1-11111iiii−i−i−i−iiiii−i−i−i−i000000002-22-2ii−i−iii−i−i-1-111-1-111000000000000000000000000
χ45222222-2-2-2-2-2-2-22-22-2-2-2-22222-1-1-1-1-1-111111-1-11112i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i000000002-2-22−i−iiiii−i−i-1-11111-1-1000000000000000000000000
χ46222222-2-2-2-2-2-2-22-22-2-2-2-22222-1-1-1-1-1-111111-1-11112i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii00000000-222-2−i−iiiii−i−i11-1-1-1-111000000000000000000000000
χ47222222-2-2-2-2-2-2-22-22-2-2-2-22222-1-1-1-1-1-111111-1-1111−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i1111-1-1-1-1−i−i−i−iiiiiiiii−i−i−i−i00000000-222-2ii−i−i−i−iii11-1-1-1-111000000000000000000000000
χ48222222-2-2-2-2-2-2-22-22-2-2-2-22222-1-1-1-1-1-111111-1-1111−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1iiii−i−i−i−i−i−i−i−iiiii000000002-2-22ii−i−i−i−iii-1-11111-1-1000000000000000000000000
χ492222-2-222-222-2-2-2-2-222-2-222-2-22222-2-222-2-2-2-2-222-22-22-22-22-20000000022-2-222-2-200000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ502222-2-222-222-2-2-2-2-222-2-222-2-22222-2-222-2-2-2-2-222-2-22-22-22-220000000022-2-222-2-20000000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ512222-2-222-222-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111111-1-112-22-22-22-200000000-1-111-1-11133−3−333−3−333−3−333−3−3000000000000-11-11-11-113−33−33−33−3000000000000000000000000
χ522222-2-222-222-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111111-1-112-22-22-22-200000000-1-111-1-111−3−333−3−333−3−333−3−333000000000000-11-11-11-11−33−33−33−33000000000000000000000000
χ532222-2-222-222-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111111-1-11-22-22-22-2200000000-1-111-1-11133−3−333−3−333−3−333−3−30000000000001-11-11-11-1−33−33−33−33000000000000000000000000
χ542222-2-222-222-2-2-2-2-222-2-222-2-2-1-1-1-111-1-111111-1-11-22-22-22-2200000000-1-111-1-111−3−333−3−333−3−333−3−3330000000000001-11-11-11-13−33−33−33−3000000000000000000000000
χ552222-2-222-222-2-2-2-2-2-2-222-2-2222222-2-222-2-2-2-2-222-22-22-2-22-2200000000-2-222-2-22200000000000000000000000000002-22-2-22-2200000000000000000000000000000000
χ562222-2-222-222-2-2-2-2-2-2-222-2-2222222-2-222-2-2-2-2-222-2-22-222-22-200000000-2-222-2-2220000000000000000000000000000-22-222-22-200000000000000000000000000000000
χ572222-2-222-222-2-2-2-2-2-2-222-2-222-1-1-1-111-1-111111-1-112-22-2-22-220000000011-1-111-1-133−3−333−3−3−3−333−3−333000000000000-11-111-11-13−33−3−33−33000000000000000000000000
χ582222-2-222-222-2-2-2-2-2-2-222-2-222-1-1-1-111-1-111111-1-112-22-2-22-220000000011-1-111-1-1−3−333−3−33333−3−333−3−3000000000000-11-111-11-1−33−333−33−3000000000000000000000000
χ592222-2-222-222-2-2-2-2-2-2-222-2-222-1-1-1-111-1-111111-1-11-22-222-22-20000000011-1-111-1-133−3−333−3−3−3−333−3−3330000000000001-11-1-11-11−33−333−33−3000000000000000000000000
χ602222-2-222-222-2-2-2-2-2-2-222-2-222-1-1-1-111-1-111111-1-11-22-222-22-20000000011-1-111-1-1−3−333−3−33333−3−333−3−30000000000001-11-1-11-113−33−3−33−33000000000000000000000000
χ612222-2-2-2-22-2-222-22-222-2-2-2-2222222-2-2-2-2222-2-2-2-222i−2i−2i2i2i−2i−2i2i0000000022-2-2-2-22200000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000000000000000000000
χ622222-2-2-2-22-2-222-22-222-2-2-2-2222222-2-2-2-2222-2-2-2-22−2i2i2i−2i−2i2i2i−2i0000000022-2-2-2-2220000000000000000000000000000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000000000
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Here i is the imaginary unit (i² = −1).