Finite Group Databasebeta

← Group #72271973

Character table — Group #72271973

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222222444444444444448888888888888888888812121212121212121212121212121212121212121616161616161616161616161616161616161616161616161616161616161616242424242424242424242424242448484848
order122222222234444444466666666612121212121212122222224444444444888822222222222222224444446666668812121212121212121212121212122424242424242424444444444488884488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111111111111111-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111111111-1-1
χ9111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1111111111111-1-1-1-111111111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1
χ10111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111
χ11111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ12111111111111111111111111111111111111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111111111111111-1-1-1-1
χ13111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111
χ14111111111111111111111111111111111111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111-1-1
χ15111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1
χ16111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1-1-11111-1-111
χ171-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-11-1ii−i−i1-111-1-1ii−i−i1111-1-1-1-111-1-111-1-111-1-1i−i11-1-11-1i−iii−i−i1-111-1-1ii−i−iii−i−iii−i−iii−i−i1-111-1-1ii−i−ii−ii−i
χ181-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-11-1ii−i−i1-111-1-1ii−i−i-1-1-1-11111-1-111-1-111-1-111i−i11-1-11-1i−iii−i−i1-111-1-1ii−i−iii−i−iii−i−i−i−iii-11-1-111−i−iii−ii−ii
χ191-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-11-1−i−iii1-111-1-1−i−iii1111-1-1-1-111-1-111-1-111-1-1−ii11-1-11-1−ii−i−iii1-111-1-1−i−iii−i−iii−i−iii−i−iii1-111-1-1−i−iii−ii−ii
χ201-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-11-1−i−iii1-111-1-1−i−iii-1-1-1-11111-1-111-1-111-1-111−ii11-1-11-1−ii−i−iii1-111-1-1−i−iii−i−iii−i−iiiii−i−i-11-1-111ii−i−ii−ii−i
χ211-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-1-11ii−i−i-11-1-111−i−iii1111-1-1-1-111-1-1-1-111-1-111−ii11-1-1-11i−iii−i−i-11-1-111−i−iiiii−i−i−i−iii−i−iii1-1-1-111ii−i−ii−i−ii
χ221-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-1-11ii−i−i-11-1-111−i−iii-1-1-1-11111-1-11111-1-111-1-1−ii11-1-1-11i−iii−i−i-11-1-111−i−iiiii−i−i−i−iiiii−i−i-1111-1-1−i−iii−iii−i
χ231-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-1-11−i−iii-11-1-111ii−i−i1111-1-1-1-111-1-1-1-111-1-111i−i11-1-1-11−ii−i−iii-11-1-111ii−i−i−i−iiiii−i−iii−i−i1-1-1-111−i−iii−iii−i
χ241-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-111-1-1-11−i−iii-11-1-111ii−i−i-1-1-1-11111-1-11111-1-111-1-1i−i11-1-1-11−ii−i−iii-11-1-111ii−i−i−i−iiiii−i−i−i−iii-1111-1-1ii−i−ii−i−ii
χ251-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-1111-1ii−i−i1-1-1-111ii−i−i1111-1-1-1-1-1-11111-1-111-1-1−ii-1-1111-1−iiii−i−i1-1-1-111−i−iii−i−iiiii−i−iii−i−i-11-1-111ii−i−i−ii−ii
χ261-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-1111-1ii−i−i1-1-1-111ii−i−i-1-1-1-1111111-1-1-1-111-1-111−ii-1-1111-1−iiii−i−i1-1-1-111−i−iii−i−iiiii−i−i−i−iii1-111-1-1−i−iiii−ii−i
χ271-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-1111-1−i−iii1-1-1-111−i−iii1111-1-1-1-1-1-11111-1-111-1-1i−i-1-1111-1i−i−i−iii1-1-1-111ii−i−iii−i−i−i−iii−i−iii-11-1-111−i−iiii−ii−i
χ281-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-1111-1−i−iii1-1-1-111−i−iii-1-1-1-1111111-1-1-1-111-1-111i−i-1-1111-1i−i−i−iii1-1-1-111ii−i−iii−i−i−i−iiiii−i−i1-111-1-1ii−i−i−ii−ii
χ291-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-111-11ii−i−i-1111-1-1−i−iii1111-1-1-1-1-1-111-1-111-1-111i−i-1-111-11−iiii−i−i-1111-1-1ii−i−i−i−iii−i−iii−i−iii-1111-1-1ii−i−i−iii−i
χ301-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-111-11ii−i−i-1111-1-1−i−iii-1-1-1-1111111-1-111-1-111-1-1i−i-1-111-11−iiii−i−i-1111-1-1ii−i−i−i−iii−i−iiiii−i−i1-1-1-111−i−iiii−i−ii
χ311-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-111-11−i−iii-1111-1-1ii−i−i1111-1-1-1-1-1-111-1-111-1-111−ii-1-111-11i−i−i−iii-1111-1-1−i−iiiii−i−iii−i−iii−i−i-1111-1-1−i−iiii−i−ii
χ321-1-1111-1-1-1111111-1-1-1-1-1-1111-1-11-11111-1-1-1-1-1-111-11−i−iii-1111-1-1ii−i−i-1-1-1-1111111-1-111-1-111-1-1−ii-1-111-11i−i−i−iii-1111-1-1−i−iiiii−i−iii−i−i−i−iii1-1-1-111ii−i−i−iii−i
χ3322222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002-22-200000000000022222-22-22-22-200000000000000002-22-20000000000000000-2-2000000000000
χ3422222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-20000000000002-22-2000000000000-2-2-2-2-22-22-22-2200000000000000002-22-2000000000000000022000000000000
χ3522222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000-22-220000000000002222-22-22-22-220000000000000000-22-220000000000000000-2-2000000000000
χ3622222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2000000000000-22-22000000000000-2-2-2-22-22-22-22-20000000000000000-22-22000000000000000022000000000000
χ372222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222222222220000000000000000000022-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000
χ382222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2222222-2-2-2-200000000000000000000-2-2-1-1-1-1-1-1-2-21111-1-1-1-1-1-1111111111111000000000000000000
χ392222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-22222-2-2-2-2-2-2-2-2-2-200000000000000000000-2-2-1-1-1-11122-1-1-1-11111111111-1-1-1-11111000000000000000000
χ402222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-2-2-2-222220000000000000000000022-1-1-1-111-2-21111111111-1-1-1-11111-1-1-1-1000000000000000000
χ412222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222222-2-2-2-2222200000000000000000000-2-21111-1-1-2-2-1-1-1-1-1-1111111111111-1-1-1-1000000000000000000
χ422222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222-2-2-2-222-2-2-2-2-2-2-2-200000000000000000000221111-1-1221111-1-11111-1-1-1-1-1-1-1-11111000000000000000000
χ432222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-2-22222-2-2-2-20000000000000000000022111111-2-2-1-1-1-111-1-1-1-1-1-1-1-111111111000000000000000000
χ442222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000-2-211111122111111-1-1-1-11111-1-1-1-1-1-1-1-1000000000000000000
χ4522222-2-22-2-2222-2-2-2-2222222-2-2-2-2222-2-22-22-200000000000000002-22-222-2-222-2-200000000000000000000000000000000000000002-22-22-22-200000000000000
χ4622222-2-22-2-2222-2-2-2-2222222-2-2-2-2222-2-22-22-200000000000000002-22-2-2-222-2-22200000000000000000000000000000000000000002-22-2-22-2200000000000000
χ4722222-2-22-2-2222-2-2-2-2222222-2-2-2-2222-2-22-22-20000000000000000-22-2222-2-222-2-20000000000000000000000000000000000000000-22-22-22-2200000000000000
χ4822222-2-22-2-2222-2-2-2-2222222-2-2-2-2222-2-22-22-20000000000000000-22-22-2-222-2-2220000000000000000000000000000000000000000-22-222-22-200000000000000
χ492222-22-2-22-222-22-2-22-22222-222-2-2-22-22-2-2-2220000002-22-200000000002-22-22-22-200000000000000000000002-22-200000000000000000000000000002-22-20000
χ502222-22-2-22-222-22-2-22-22222-222-2-2-22-22-2-2-2220000002-22-20000000000-22-22-22-2200000000000000000000002-22-20000000000000000000000000000-22-220000
χ512222-22-2-22-222-22-2-22-22222-222-2-2-22-22-2-2-222000000-22-2200000000002-22-22-22-20000000000000000000000-22-220000000000000000000000000000-22-220000
χ522222-22-2-22-222-22-2-22-22222-222-2-2-22-22-2-2-222000000-22-220000000000-22-22-22-220000000000000000000000-22-2200000000000000000000000000002-22-20000
χ532222-2-22-2-2222-2-222-2-22222-2-2-222-22-2-22-222-20000220000-2-2000000002-2-222-2-2200002-22-2-22-2200000022000000-2-20000000000000000000000000000000000
χ542222-2-22-2-2222-2-222-2-22222-2-2-222-22-2-22-222-20000220000-2-200000000-222-2-222-20000-22-222-22-200000022000000-2-20000000000000000000000000000000000
χ552222-2-22-2-2222-2-222-2-22222-2-2-222-22-2-22-222-20000-2-2000022000000002-2-222-2-220000-22-222-22-2000000-2-2000000220000000000000000000000000000000000
χ562222-2-22-2-2222-2-222-2-22222-2-2-222-22-2-22-222-20000-2-200002200000000-222-2-222-200002-22-2-22-22000000-2-2000000220000000000000000000000000000000000
χ572222-2-22-2-222-222-2-222-2222-2-2-222-2-222-22-2-222-22-200000000000000000000000000002222-2-2-2-2002-22-2000000000000000000000000000000002-22-200000000
χ582222-2-22-2-222-222-2-222-2222-2-2-222-2-222-22-2-222-22-20000000000000000000000000000-2-2-2-22222002-22-200000000000000000000000000000000-22-2200000000
χ592222-2-22-2-222-222-2-222-2222-2-2-222-2-222-22-2-22-22-2200000000000000000000000000002222-2-2-2-200-22-2200000000000000000000000000000000-22-2200000000
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χ622-2-2222-2-2-222-2-2-2-22222-2-2222-2-22-2-2-2-2-222220000000000002-2-22000000000000-2-222-222-2-222-200000000000000002-2-2200000000000000002-2000000000000
χ632-2-2222-2-2-222-2-2-2-22222-2-2222-2-22-2-2-2-2-22222000000000000-222-200000000000022-2-2-222-2-222-20000000000000000-222-20000000000000000-22000000000000
χ642-2-2222-2-2-222-2-2-2-22222-2-2222-2-22-2-2-2-2-22222000000000000-222-2000000000000-2-2222-2-222-2-220000000000000000-222-200000000000000002-2000000000000
χ652-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-1111122-2-22-22i2i−2i−2i2-222-2-22i2i−2i−2i000000000000000000002i−2i-1-111-112i−2i−i−iii-11-1-111−i−iii−i−iii−i−iii000000000000000000
χ662-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-1111122-2-22-2−2i−2i2i2i2-222-2-2−2i−2i2i2i00000000000000000000−2i2i-1-111-11−2i2iii−i−i-11-1-111ii−i−iii−i−iii−i−i000000000000000000
χ672-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-1111122-2-2-222i2i−2i−2i-22-2-222−2i−2i2i2i00000000000000000000−2i2i-1-1111-12i−2i−i−iii1-111-1-1ii−i−i−i−iiiii−i−i000000000000000000
χ682-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-1111122-2-2-22−2i−2i2i2i-22-2-2222i2i−2i−2i000000000000000000002i−2i-1-1111-1−2i2iii−i−i1-111-1-1−i−iiiii−i−i−i−iii000000000000000000
χ692-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-11111-2-2222-22i2i−2i−2i2-2-2-2222i2i−2i−2i00000000000000000000−2i2i11-1-1-11−2i2i−i−iii-1111-1-1ii−i−iii−i−i−i−iii000000000000000000
χ702-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-11111-2-2222-2−2i−2i2i2i2-2-2-222−2i−2i2i2i000000000000000000002i−2i11-1-1-112i−2iii−i−i-1111-1-1−i−iii−i−iiiii−i−i000000000000000000
χ712-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-11111-2-222-222i2i−2i−2i-2222-2-2−2i−2i2i2i000000000000000000002i−2i11-1-11-1−2i2i−i−iii1-1-1-111−i−iiiii−i−iii−i−i000000000000000000
χ722-2-2222-2-2-22-12222-2-2-2-211-1-1-111-11-1-1-1-11111-2-222-22−2i−2i2i2i-2222-2-22i2i−2i−2i00000000000000000000−2i2i11-1-11-12i−2iii−i−i1-1-1-111ii−i−i−i−iii−i−iii000000000000000000
χ732-2-222-22-22-2222-2-222-2-2-2-222-222-2-222-2-2-22-2200000000000000002i−2i−2i2i22-2-2-2-22200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i00000000000000
χ742-2-222-22-22-2222-2-222-2-2-2-222-222-2-222-2-2-22-2200000000000000002i−2i−2i2i-2-22222-2-200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i00000000000000
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Here i is the imaginary unit (i² = −1).