Finite Group Databasebeta

← Group #11787672

Character table — Group #11787672

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888363636363636363672727272
order1222223333444466666666666612121212121212121212121212121212444444446666666612121212121212121212121212121212121212121212121212121212121212121212121212121212881212121212121212121212121212121224242424242424242424242424242424224444444488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111
χ6111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1
χ7111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-11111-1-1
χ8111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-11111-1-1-1-111
χ91-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−iii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-11-1ii−i−i1-11-1i−i
χ101-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−iii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i1-1iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1-11−i−iii-11-11−ii
χ111-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-1111111111-1ii−i−i1-1-11−ii
χ121-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111i−ii−i−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii-11iiiiiiii−i−i−i−i−i−i−i−i-1-1-1-1-1-1-1-111111111-11−i−iii-111-1i−i
χ131-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iiii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-1111111111-1−i−iii1-1-11i−i
χ141-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−iiii−i−i1111-1-1-1-11111-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i-11−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-1-1-1-1-111111111-11ii−i−i-111-1−ii
χ151-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-11-1−i−iii1-11-1−ii
χ161-1-111-111111-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111−ii−ii−i−iii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii1-1−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1-11ii−i−i-11-11i−i
χ172222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000002-22-2000000
χ182222222222-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-22-22000000
χ192222222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ202222222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ212222222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-222222-1-1-12-1-1-12-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000
χ222222222-1-1-122222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2-2-2-2-22-1-1-12-1-1-12-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-211111111111122-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ23222222-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122222222-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ24222222-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-2-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000
χ25222222-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-22222-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-21111000000000000
χ26222222-12-1-12222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-2-2-2-2-12-1-1-12-1-1-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-2111111112211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ27222222-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122222222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ28222222-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-2-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000
χ29222222-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-22222-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-211000000000000
χ30222222-1-12-12222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-12-1-1-12-1-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111221111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ31222222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222222222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ32222222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-2-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000
χ33222222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-22222-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000
χ34222222-1-1-122222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-12-1-1-12-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-222111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ352222-2-222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-20000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000002-22-22-22-22-22-22-22-20000000000000000000000000000
χ362222-2-222222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2220000-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000-22-22-22-22-22-22-22-220000000000000000000000000000
χ372222-2-22222-222-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000220000-2-20000
χ382222-2-22222-222-2222222222222222222222222222200000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000-2-20000220000
χ392222-2-22-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-20000-2111-21112-1-1-12-1-1-1000033−3−333−3−333−3−3000033−3−333−3−333−3−3002-2-11-11-112-2-11-11-11003−33−33−3003−33−33−3000000000000
χ402222-2-22-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2111111-2-211111122-2-20000-2111-21112-1-1-12-1-1-10000−3−333−3−333−3−3330000−3−333−3−333−3−333002-2-11-11-112-2-11-11-1100−33−33−3300−33−33−33000000000000
χ412222-2-22-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2220000-2111-21112-1-1-12-1-1-1000033−3−333−3−333−3−3000033−3−333−3−333−3−300-221-11-11-1-221-11-11-100−33−33−3300−33−33−33000000000000
χ422222-2-22-1-1-12-2-222-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111-2-2220000-2111-21112-1-1-12-1-1-10000−3−333−3−333−3−3330000−3−333−3−333−3−33300-221-11-11-1-221-11-11-1003−33−33−3003−33−33−3000000000000
χ432222-2-2-12-1-12-2-22-12-1-1-1-122-1-1-1-111-2-2111111-2-2111122-2-200001-2111-211-12-1-1-12-1-133−3−3000033−3−3−3−33333−3−3000033−3−3−3−33300-112-2-11-11-112-2-11-113−3003−3−333−3003−3−33000000000000
χ442222-2-2-12-1-12-2-22-12-1-1-1-122-1-1-1-111-2-2111111-2-2111122-2-200001-2111-211-12-1-1-12-1-1−3−3330000−3−33333−3−3−3−3330000−3−33333−3−300-112-2-11-11-112-2-11-11−3300−333−3−3300−333−3000000000000
χ452222-2-2-12-1-12-2-22-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-22200001-2111-211-12-1-1-12-1-133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333001-1-221-11-11-1-221-11-1−3300−333−3−3300−333−3000000000000
χ462222-2-2-12-1-12-2-22-12-1-1-1-122-1-1-1-111-2-2111111-2-21111-2-22200001-2111-211-12-1-1-12-1-1−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3001-1-221-11-11-1-221-11-13−3003−3−333−3003−3−33000000000000
χ472222-2-2-1-12-12-2-22-1-12-1-1-1-1-122-1-11111-2-2111111-2-21122-2-2000011-2111-21-1-12-1-1-12-133−3−3−3−333000033−3−333−3−3−3−333000033−3−300-11-112-2-11-11-112-2-113−3−33003−33−3−33003−3000000000000
χ482222-2-2-1-12-12-2-22-1-12-1-1-1-1-122-1-11111-2-2111111-2-21122-2-2000011-2111-21-1-12-1-1-12-1−3−33333−3−30000−3−333−3−33333−3−30000−3−33300-11-112-2-11-11-112-2-11−333−300−33−333−300−33000000000000
χ492222-2-2-1-12-12-2-22-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-2-222000011-2111-21-1-12-1-1-12-133−3−3−3−333000033−3−333−3−3−3−333000033−3−3001-11-1-221-11-11-1-221-1−333−300−33−333−300−33000000000000
χ502222-2-2-1-12-12-2-22-1-12-1-1-1-1-122-1-11111-2-2111111-2-211-2-222000011-2111-21-1-12-1-1-12-1−3−33333−3−30000−3−333−3−33333−3−30000−3−333001-11-1-221-11-11-1-221-13−3−33003−33−3−33003−3000000000000
χ512222-2-2-1-1-122-2-22-1-1-12-1-1-1-1-1-122111111-2-2111111-2-222-2-20000111-2111-2-1-1-12-1-1-1233−3−333−3−3−3−333000033−3−333−3−3−3−333000000-11-11-112-2-11-11-112-23−33−3−33003−33−3−3300000000000000
χ522222-2-2-1-1-122-2-22-1-1-12-1-1-1-1-1-122111111-2-2111111-2-222-2-20000111-2111-2-1-1-12-1-1-12−3−333−3−33333−3−30000−3−333−3−33333−3−3000000-11-11-112-2-11-11-112-2−33−333−300−33−333−300000000000000
χ532222-2-2-1-1-122-2-22-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-2-2220000111-2111-2-1-1-12-1-1-1233−3−333−3−3−3−333000033−3−333−3−3−3−3330000001-11-11-1-221-11-11-1-22−33−333−300−33−333−300000000000000
χ542222-2-2-1-1-122-2-22-1-1-12-1-1-1-1-1-122111111-2-2111111-2-2-2-2220000111-2111-2-1-1-12-1-1-12−3−333−3−33333−3−30000−3−333−3−33333−3−30000001-11-11-1-221-11-11-1-223−33−3−33003−33−3−3300000000000000
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Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.