Finite Group Databasebeta

← Group #11787764

Character table — Group #11787764

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111122222222222222222222222222222222222222444444444444444444444444444444444444444444444444444444448888888888888888888888888888888888363636363636363672727272
order1244222333344466666666666612121212121212121212121212121212444466666666888812121212121212121212121212121212121212121212121212121212121212121212121212121212441212121212121212121212121212121224242424242424242424242424242424224488882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ5111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ6111111111111111111111111111111111111111111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-11111
χ7111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ8111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ911-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111ii−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i1-1i−i
χ1011-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111ii−i−i1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii-11−ii
χ1111-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−iii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii1-1−ii
χ1211-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111−i−iii1111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1−ii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i-11i−i
χ1311-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−ii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i11-1-1ii−i−i-11−ii
χ1411-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111ii−i−i1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111−ii−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-111−i−iii1-1i−i
χ1511-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii11-1-1−i−iii-11i−i
χ1611-1-11-1-1111111-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-11111−i−iii1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111i−iiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-111ii−i−i1-1−ii
χ1722222222-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ1822222222-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122222-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-2111111-2-2111111-2-2111111000000000000
χ1922222222-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-122222-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2111111-2-211111122-1-1-1-1-1-122-1-1-1-1-1-1000000000000
χ2022222222-1-1-12222-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-2111111111111-2-2-2-21111111111112222-1-1-1-1-1-122-1-1-1-1-1-1-2-2111111-2-2111111000000000000
χ212222222-12-1-1222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ222222222-12-1-1222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-12222-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-2111111-2-2111111-2-21111000000000000
χ232222222-12-1-1222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-12222-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-211111111-2-211-2-2111111-2-21111-1-122-1-1-1-1-1-122-1-1-1-1000000000000
χ242222222-12-1-1222-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-2-2-2-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-2111111111111-2-2-2-21111111122-1-122-1-1-1-1-1-122-1-1-1-111-2-2111111-2-21111000000000000
χ252222222-1-12-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ262222222-1-12-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-12222-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2111111-2-2111111-2-211000000000000
χ272222222-1-12-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-12222-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-21111-2-21111-2-2111111-2-211-1-1-1-122-1-1-1-1-1-122-1-1000000000000
χ282222222-1-12-1222-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2-2-2-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-2111111111111-2-2-2-2111122-1-1-1-122-1-1-1-1-1-122-1-11111-2-2111111-2-211000000000000
χ292222222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ302222222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1222222-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-2111111-2-2111111-2-2000000000000
χ312222222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-122222-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-2-2-2111111-2-2111111-2-2-1-1-1-1-1-122-1-1-1-1-1-122000000000000
χ322222222-1-1-12222-1-1-12-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-2-2-2-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-2111111111111-2-2-2-222-1-1-1-1-1-122-1-1-1-1-1-122111111-2-2111111-2-2000000000000
χ3322222-2-22222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000-2-2-2-222220000-2-2-2-222220000000000000000000000000000000000000000000000000000000000000000002-22-200000000
χ3422222-2-22222-2-222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2222222220000-2-2-2-222220000-2-2-2-22222000000000000000000000000000000000000000000000000000000000000000000-22-2200000000
χ352222-22-222222-2-222222222222222222222222222220000-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000002-22-20000
χ362222-22-222222-2-222222222222222222222222222220000-2-2-2-2-2-2-2-20000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000000-22-220000
χ372222-2-222222-22-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200002222-2-2-2-22-22-22222-2-2-2-2000000000000000000000000000000000000000000000000002-22-22-22-22-22-22-22-2000000000000
χ382222-2-222222-22-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200002222-2-2-2-2-22-222222-2-2-2-200000000000000000000000000000000000000000000000000-22-22-22-22-22-22-22-22000000000000
χ392222-2-222-1-1-1-22-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-100002-1-1-1-21112-22-22-1-1-1-2111000033−3−333−3−333−3−3000033−3−333−3−333−3−300003−33−33−3003−33−33−32-2-11-11-112-2-11-11-11000000000000
χ402222-2-222-1-1-1-22-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-100002-1-1-1-21112-22-22-1-1-1-21110000−3−333−3−333−3−3330000−3−333−3−333−3−3330000−33−33−3300−33−33−332-2-11-11-112-2-11-11-11000000000000
χ412222-2-222-1-1-1-22-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-100002-1-1-1-2111-22-222-1-1-1-2111000033−3−333−3−333−3−3000033−3−333−3−333−3−30000−33−33−3300−33−33−33-221-11-11-1-221-11-11-1000000000000
χ422222-2-222-1-1-1-22-22-1-1-1-2-2111111-2-211111122-1-1-1-1-1-100002-1-1-1-2111-22-222-1-1-1-21110000−3−333−3−333−3−3330000−3−333−3−333−3−33300003−33−33−3003−33−33−3-221-11-11-1-221-11-11-1000000000000
χ432222-2-22-12-1-1-22-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000-12-1-11-2112-22-2-12-1-11-21133−3−3000033−3−3−3−33333−3−3000033−3−3−3−333003−3003−3−333−3003−3−33-112-2-11-11-112-2-11-11000000000000
χ442222-2-22-12-1-1-22-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000-12-1-11-2112-22-2-12-1-11-211−3−3330000−3−33333−3−3−3−3330000−3−33333−3−300−3300−333−3−3300−333−3-112-2-11-11-112-2-11-11000000000000
χ452222-2-22-12-1-1-22-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000-12-1-11-211-22-22-12-1-11-21133−3−3000033−3−3−3−33333−3−3000033−3−3−3−33300−3300−333−3−3300−333−31-1-221-11-11-1-221-11-1000000000000
χ462222-2-22-12-1-1-22-2-12-1-111-2-2111111-2-21111-1-122-1-1-1-10000-12-1-11-211-22-22-12-1-11-211−3−3330000−3−33333−3−3−3−3330000−3−33333−3−3003−3003−3−333−3003−3−331-1-221-11-11-1-221-11-1000000000000
χ472222-2-22-1-12-1-22-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000-1-12-111-212-22-2-1-12-111-2133−3−3−3−333000033−3−333−3−3−3−333000033−3−3003−3−33003−33−3−33003−3-11-112-2-11-11-112-2-11000000000000
χ482222-2-22-1-12-1-22-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000-1-12-111-212-22-2-1-12-111-21−3−33333−3−30000−3−333−3−33333−3−30000−3−33300−333−300−33−333−300−33-11-112-2-11-11-112-2-11000000000000
χ492222-2-22-1-12-1-22-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000-1-12-111-21-22-22-1-12-111-2133−3−3−3−333000033−3−333−3−3−3−333000033−3−300−333−300−33−333−300−331-11-1-221-11-11-1-221-1000000000000
χ502222-2-22-1-12-1-22-2-1-12-11111-2-2111111-2-211-1-1-1-122-1-10000-1-12-111-21-22-22-1-12-111-21−3−33333−3−30000−3−333−3−33333−3−30000−3−333003−3−33003−33−3−33003−31-11-1-221-11-11-1-221-1000000000000
χ512222-2-22-1-1-12-22-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000-1-1-12111-22-22-2-1-1-12111-233−3−333−3−3−3−333000033−3−333−3−3−3−3330000003−33−3−33003−33−3−3300-11-11-112-2-11-11-112-2000000000000
χ522222-2-22-1-1-12-22-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000-1-1-12111-22-22-2-1-1-12111-2−3−333−3−33333−3−30000−3−333−3−33333−3−3000000−33−333−300−33−333−300-11-11-112-2-11-11-112-2000000000000
χ532222-2-22-1-1-12-22-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000-1-1-12111-2-22-22-1-1-12111-233−3−333−3−3−3−333000033−3−333−3−3−3−333000000−33−333−300−33−333−3001-11-11-1-221-11-11-1-22000000000000
χ542222-2-22-1-1-12-22-2-1-1-12111111-2-2111111-2-2-1-1-1-1-1-1220000-1-1-12111-2-22-22-1-1-12111-2−3−333−3−33333−3−30000−3−333−3−33333−3−30000003−33−3−33003−33−3−33001-11-11-1-221-11-11-1-22000000000000
χ5522-2-22222222-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000002-2-2200000000
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χ1434-4−4i4i000-2-2-24000222-42i3−2i32i3−2i3−2i32i30023−2323−23−2323002i−2i2i−2i2i−2i−4i4i2-2−2i2i00000000000000000000−1+31−3−1−31+3−1+31−3−1−31+3−1−31+3−1+31−32-22-2−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−2i2i−2i2i0000000000000000000000000000000000000000000000
χ1444-4−4i4i000-2-2-24000222-42i3−2i32i3−2i3−2i32i30023−2323−23−2323002i−2i2i−2i2i−2i−4i4i-222i−2i000000000000000000001−3−1+31+3−1−31−3−1+31+3−1−31+3−1−31−3−1+3-22-22ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ112i−2i2i−2i0000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.