Finite Group Databasebeta

← Group #10701046

Character table — Group #10701046

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order12222222444444442222344446666666121212121212121266668888888888888888121212122424242424242424242424242424242444444444888824242424242424242424242424242424444488888888888888888888
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
χ31111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ511111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1
χ911111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ1011111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−iii
χ1111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ1211111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii1111-1-1-1-1ii−i−i
χ1311111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ1411111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii1111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i
χ1511111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ1611111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−i1111-1-1-1-1−i−iii
χ171-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-11-11-1ii−i−iii−i−i11-1-111-1-11-11-1ii−i−iii−i−iii−i−iii−i−i1-11-1
χ181-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-1111-11-1ii−i−iii−i−i11-1-111-1-1-11-11−i−iii−i−iii−i−iii−i−iii-11-11
χ191-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1-11-11ii−i−iii−i−i-1-111-1-1111-11-1ii−i−iii−i−i−i−iii−i−iii-11-11
χ201-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1ii−i−iii−i−i−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111-11-11ii−i−iii−i−i-1-111-1-111-11-11−i−iii−i−iiiii−i−iii−i−i1-11-1
χ211-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1-11-11−i−iii−i−iii-1-111-1-1111-11-1−i−iii−i−iiiii−i−iii−i−i-11-11
χ221-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1−i−iii−i−iiiii−i−iii−i−i11-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111-11-11−i−iii−i−iii-1-111-1-111-11-11ii−i−iii−i−i−i−iii−i−iii1-11-1
χ231-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-11-11-1−i−iii−i−iii11-1-111-1-11-11-1−i−iii−i−iii−i−iii−i−iii1-11-1
χ241-1-1-1-111111-1-1-1-11111-1-1111-1-111-1-1-1-1111-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-1111-11-1−i−iii−i−iii11-1-111-1-1-11-11ii−i−iii−i−iii−i−iii−i−i-11-11
χ251-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-11111-1-1-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111−iii−i11-1-1-1-111−i−iiiii−i−i1-1-1111-1-1-1-111ii−i−i−i−iii−iii−i
χ261-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-11111-1-1-1-111ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1−iii−i11-1-1-1-111−i−iiiii−i−i-111-1-1-11111-1-1−i−iiiii−i−ii−i−ii
χ271-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-11111-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111i−i−ii11-1-1-1-111ii−i−i−i−iii1-1-1111-1-1-1-111−i−iiiii−i−ii−i−ii
χ281-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-11111-1-1-1-111−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1i−i−ii11-1-1-1-111ii−i−i−i−iii-111-1-1-11111-1-1ii−i−i−i−iii−iii−i
χ291-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111i−i−ii-1-11111-1-1ii−i−i−i−iii1-1-11-1-11111-1-1ii−i−i−i−iiii−i−ii
χ301-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-111-1-11111-1-1ii−i−i−i−iii11-1-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1i−i−ii-1-11111-1-1ii−i−i−i−iii-111-111-1-1-1-111−i−iiiii−i−i−iii−i
χ311-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111−iii−i-1-11111-1-1−i−iiiii−i−i1-1-11-1-11111-1-1−i−iiiii−i−i−iii−i
χ321-1-1-1-1111-1-11111-1-1-1-111111-1-111-1-1-1-11-1-111-1-111-1-111-1-11111-1-1−i−iiiii−i−i11-1-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1−iii−i-1-11111-1-1−i−iiiii−i−i-111-111-1-1-1-111ii−i−i−i−iiii−i−ii
χ3322222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ3422222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ3522222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ3622222222222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ372222222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-20000000000000000-2-2-2-200000000000000002222222200000000000000000000-2-2-2-200000000000000000000
χ382222222222222222-2-2-2-22-2-2-2-2222222222222222-2-2-2-20000000000000000-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000
χ3922222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-200000000000000002222-2-2-2-200000000000000000000-2-22200000000000000000000
χ4022222222-2-2-2-2-2-2-2-222222-2-2-2-22222222-2-2-2-2-2-2-2-222220000000000000000-2-2-2-20000000000000000-2-2-2-222220000000000000000000022-2-200000000000000000000
χ4122222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ4222222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-11111111111112i2i2i2i−2i−2i−2i−2i-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4322222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ4422222222-2-2-2-2-2-2-2-2-2-2-2-2-12222-1-1-1-1-1-1-1111111111111−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ45222-2-22-2-22222-2-2-2-22-22-222-22-2-2-222-2-2222-2-2-2-2222-22-22-22-22-22-2000000002-22-200000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ46222-2-22-2-22222-2-2-2-22-22-222-22-2-2-222-2-2222-2-2-2-2222-22-2-22-22-22-22000000002-22-20000000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ47222-2-22-2-22222-2-2-2-22-22-2-12-22-211-1-111-1-1-11111-1-1-11-112-22-22-22-200000000-11-1133−3−333−3−333−3−333−3−3000000000000-11-11-11-113−33−33−33−3000000000000000000000000
χ48222-2-22-2-22222-2-2-2-22-22-2-12-22-211-1-111-1-1-11111-1-1-11-112-22-22-22-200000000-11-11−3−333−3−333−3−333−3−333000000000000-11-11-11-11−33−33−33−33000000000000000000000000
χ49222-2-22-2-22222-2-2-2-22-22-2-12-22-211-1-111-1-1-11111-1-1-11-11-22-22-22-2200000000-11-1133−3−333−3−333−3−333−3−30000000000001-11-11-11-1−33−33−33−33000000000000000000000000
χ50222-2-22-2-22222-2-2-2-22-22-2-12-22-211-1-111-1-1-11111-1-1-11-11-22-22-22-2200000000-11-11−3−333−3−333−3−333−3−3330000000000001-11-11-11-13−33−33−33−3000000000000000000000000
χ51222-2-22-2-22222-2-2-2-2-22-222-22-22-2-222-2-2222-2-2-2-222-22-220000000000000000-22-220000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ52222-2-22-2-22222-2-2-2-2-22-222-22-22-2-222-2-2222-2-2-2-222-22-220000000000000000-22-22000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ53222-2-22-2-2-2-2-2-222222-22-22-22-22-2-222-2-22-2-22222-2-22-22-20000000000000000-22-220000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ54222-2-22-2-2-2-2-2-222222-22-22-22-22-2-222-2-22-2-22222-2-22-22-20000000000000000-22-22000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ55222-2-22-2-2-2-2-2-22222-22-2222-22-2-2-222-2-22-2-22222-2-2-22-222i−2i2i−2i−2i2i−2i2i000000002-22-200000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ56222-2-22-2-2-2-2-2-22222-22-2222-22-2-2-222-2-22-2-22222-2-2-22-22−2i2i−2i2i2i−2i2i−2i000000002-22-20000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ57222-2-22-2-2-2-2-2-22222-22-22-12-22-211-1-111-111-1-1-1-1111-11-12i−2i2i−2i−2i2i−2i2i00000000-11-1133−3−333−3−3−3−333−3−333000000000000−ii−iii−ii−ii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ58222-2-22-2-2-2-2-2-22222-22-22-12-22-211-1-111-111-1-1-1-1111-11-12i−2i2i−2i−2i2i−2i2i00000000-11-11−3−333−3−33333−3−333−3−3000000000000−ii−iii−ii−i−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ59222-2-22-2-2-2-2-2-22222-22-22-12-22-211-1-111-111-1-1-1-1111-11-1−2i2i−2i2i2i−2i2i−2i00000000-11-1133−3−333−3−3−3−333−3−333000000000000i−ii−i−ii−ii−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ60222-2-22-2-2-2-2-2-22222-22-22-12-22-211-1-111-111-1-1-1-1111-11-1−2i2i−2i2i2i−2i2i−2i00000000-11-11−3−333−3−33333−3−333−3−3000000000000i−ii−i−ii−iii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ6122-22-2-22-22i−2i2i−2i2i−2i2i−2i0000200002-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002−22−2−i2i2−i2i200002−22−22−22−2−i2i2−i2i2−i2i2−i2i22-22-22i−2i2i−2i000000000000000000000000000000002−22−2−i2i2−i2i20000
χ6222-22-2-22-22i−2i2i−2i2i−2i2i−2i0000200002-22-22-2-22i−2i2i−2i2i−2i2i−2i0000000000002−22−2−i2i2−i2i200002−22−22−22−2−i2i2−i2i2−i2i2−i2i2-22-22−2i2i−2i2i00000000000000000000000000000000−22−22i2−i2i2−i20000
χ6322-22-2-22-22i−2i2i−2i2i−2i2i−2i0000200002-22-22-2-22i−2i2i−2i2i−2i2i−2i000000000000−22−22i2−i2i2−i20000−22−22−22−22i2−i2i2−i2i2−i2i2−i22-22-22i−2i2i−2i00000000000000000000000000000000−22−22i2−i2i2−i20000
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Here i is the imaginary unit (i² = −1).