Finite Group Databasebeta

← Group #72271219

Character table — Group #72271219

Order 1536.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size11111111222222222222222222224444444444444444444466666666666666668888888888888888888888881212121212121212161616161616161616161616161616161616161616161616161616162424242424242424242424242424242448484848
order1222222222222222222236666666222222226666666666662222222222222222224444444444444466666666222222224444661212121212121212121212121212121212121212121222444444444444444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ7111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ8111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1
χ91111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1
χ101111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111
χ111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111
χ121111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1
χ131111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ141111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-1
χ151111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1
χ161111111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111
χ17111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1ii−i−iii−i−i1111-1-1-1-1-1-1-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-1ii−i−iii−i−ii−ii−i
χ18111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1−i−iii−i−iii1111-1-1-1-1-1-1-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-1−i−iii−i−iii−ii−ii
χ19111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111ii−i−iii−i−i1111-1-1-1-1-1-1-1-111-1-1−ii−ii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii-1-111-1-111ii−i−iii−i−i−ii−ii
χ20111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111−i−iii−i−iii1111-1-1-1-1-1-1-1-111-1-1i−ii−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i-1-111-1-111−i−iii−i−iiii−ii−i
χ21111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1ii−i−iii−i−i1111-1-1-1-11111-1-111i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i-1-111-1-111−i−iii−i−iii−ii−ii
χ22111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1−i−iii−i−iii1111-1-1-1-11111-1-111−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii-1-111-1-111ii−i−iii−i−ii−ii−i
χ23111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111ii−i−iii−i−i1111-1-1-1-11111-1-111−ii−ii-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1−i−iii−i−iiii−ii−i
χ24111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111−i−iii−i−iii1111-1-1-1-11111-1-111i−ii−i-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1ii−i−iii−i−i−ii−ii
χ25111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111ii−i−i−i−iii-1-1-1-11111-1-1-1-1-1-111i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-111ii−i−i−i−iiii−i−ii
χ26111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111−i−iiiii−i−i-1-1-1-11111-1-1-1-1-1-111−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−i−iii−i
χ27111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1ii−i−i−i−iii-1-1-1-11111-1-1-1-1-1-111−iii−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iii−iii−i
χ28111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1−i−iiiii−i−i-1-1-1-11111-1-1-1-1-1-111i−i−ii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1−i−iiiii−i−ii−i−ii
χ29111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111ii−i−i−i−iii-1-1-1-11111111111-1-1i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-1−i−iiiii−i−i−iii−i
χ30111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111−i−iiiii−i−i-1-1-1-11111111111-1-1−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-1ii−i−i−i−iiii−i−ii
χ31111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1ii−i−i−i−iii-1-1-1-11111111111-1-1−iii−i-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111−i−iiiii−i−ii−i−ii
χ32111111111111-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1−i−iiiii−i−i-1-1-1-11111111111-1-1i−i−ii-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111ii−i−i−i−iii−iii−i
χ3322222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222222222222222-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000000000
χ3422222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1000000000000000022222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-100000000-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000000000000000
χ3522222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-100000000-2-2-2-211111111-1-1-1-1-1-1-1-11111111100000000000000000000
χ3622222222222222222222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-10000000022221111111111111111-1-1-1-1-1-1-1-100000000000000000000
χ3722222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-2-2-2-22222-2-2-2-2111111110000000022-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000000000000000
χ3822222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-100000000000000002222-2-2-2-2-2-2-2-222221111111100000000-2-222-1-1-1-111111111-1-1-1-11111-1-1-1-100000000000000000000
χ3922222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-222222222-2-2-2-21111111100000000-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000000000000000
χ4022222222222222222222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-2-2-2-22222-2-2-2-22222111111110000000022-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000000000000000
χ41222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111000000000000000022-2-222-2-22i2i−2i−2i2i2i−2i−2i-1-1-1-11111000000002i−2i2i−2i-1-111-1-111−i−iii−i−iii−i−iii−i−iii00000000000000000000
χ42222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-111111111000000000000000022-2-222-2-2−2i−2i2i2i−2i−2i2i2i-1-1-1-1111100000000−2i2i−2i2i-1-111-1-111ii−i−iii−i−iii−i−iii−i−i00000000000000000000
χ43222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000000000000000-2-222-2-2222i2i−2i−2i2i2i−2i−2i-1-1-1-1111100000000−2i2i−2i2i11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i00000000000000000000
χ44222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1111111110000000000000000-2-222-2-222−2i−2i2i2i−2i−2i2i2i-1-1-1-11111000000002i−2i2i−2i11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii00000000000000000000
χ45222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111000000000000000022-2-2-2-2222i2i−2i−2i−2i−2i2i2i1111-1-1-1-1000000002i−2i−2i2i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i00000000000000000000
χ46222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-111111111000000000000000022-2-2-2-222−2i−2i2i2i2i2i−2i−2i1111-1-1-1-100000000−2i2i2i−2i-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii00000000000000000000
χ47222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1111111110000000000000000-2-22222-2-22i2i−2i−2i−2i−2i2i2i1111-1-1-1-100000000−2i2i2i−2i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii00000000000000000000
χ48222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-1111111110000000000000000-2-22222-2-2−2i−2i2i2i2i2i−2i−2i1111-1-1-1-1000000002i−2i−2i2i11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i00000000000000000000
χ4922222222-2-2-2-222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-222-2-22222-2-2-2-222222222000000000000000022-2-222-2-222-2-2-2-2-2-2000000000000000000000000000000000000000000000000
χ5022222222-2-2-2-222-2-2-2-2222222222222-2-222-2-2-2-2-2-222-2-222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2000000000000000022-2-222-2-2-2-2222222000000000000000000000000000000000000000000000000
χ5122222222-2-2-2-222-2-2-2-22222222222-2-222-2-222-2-2-2-222-2-222-2-22222-2-2-2-2-2-2-2-2-2-2-2-20000000000000000-2-222-2-22222-2-22222000000000000000000000000000000000000000000000000
χ5222222222-2-2-2-222-2-2-2-22222222222-2-222-2-222-2-2-2-222-2-222-2-2-2-2-2-22222222222220000000000000000-2-222-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000
χ5322222222-2-2-2-2-2-22222-2-22222222222-2-2-2-222-2-2-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-2000000000000000022-2-2-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ5422222222-2-2-2-2-2-22222-2-22222222222-2-2-2-222-2-2-2-2-2-222-2-222-2-2-2-22222-2-2-2-22222000000000000000022-2-2-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ5522222222-2-2-2-2-2-22222-2-222222222-2-22222-2-2-2-2-2-2-2-222-2-2222222-2-2-2-2-2-2-2-222220000000000000000-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ5622222222-2-2-2-2-2-22222-2-222222222-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-20000000000000000-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ57222-2-22-2-222-2-2222-22-2-2-2222-2-22-2-20000000022-2-2222-2-2-22-222-2-222-2-2000000000000000000002i−2i2i−2i000000002-22-2000000000000000000002i−2i2i−2i000000000000000000002i−2i2i−2i0000
χ58222-2-22-2-222-2-2222-22-2-2-2222-2-22-2-20000000022-2-2222-2-2-22-222-2-222-2-200000000000000000000−2i2i−2i2i000000002-22-200000000000000000000−2i2i−2i2i00000000000000000000−2i2i−2i2i0000
χ59222-2-22-2-222-2-2222-22-2-2-2222-2-22-2-20000000022-2-2222-2-2-22-2-2-222-2-222000000000000000000002i−2i2i−2i00000000-22-22000000000000000000002i−2i2i−2i00000000000000000000−2i2i−2i2i0000
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Here i is the imaginary unit (i² = −1).