Finite Group Databasebeta

← Group #10701034

Character table — Group #10701034

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132
size111111111111111122222222222222222222222244444444444444444444444444444444444444446666666688888888888888888888121212121212121212121212121212121212121224242424
order1222222222222222344444444666666666666666444444448888888812121212121212122424242424242424242424242424242444444444444412121212121212121212121212121212444444444444888888884444
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
χ3111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111111111111111-1-1-1-1
χ911111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1iiii−i−i−i−i1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1ii−i−iiiii−i−i−i−iiiii−i−i−i−i11-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ1011111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1iiii−i−i−i−i1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111ii−i−iiiii−i−i−i−iiiii−i−i−i−i-1-111−i−i−i−iiiii-1-1-1-11111−i−iii
χ1111111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1iiii−i−i−i−i-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1−i−iiiiiii−i−i−i−i−i−i−i−iiiii11-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ1211111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1iiii−i−i−i−i-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111−i−iiiiiii−i−i−i−i−i−i−i−iiiii-1-111−i−i−i−iiiii1111-1-1-1-1ii−i−i
χ1311111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1−i−i−i−iiiii1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1−i−iii−i−i−i−iiiii−i−i−i−iiiii11-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ1411111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1−i−i−i−iiiii1111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−iii−i−i−i−iiiii−i−i−i−iiiii-1-111iiii−i−i−i−i-1-1-1-11111ii−i−i
χ1511111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1−i−i−i−iiiii-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1ii−i−i−i−i−i−iiiiiiiii−i−i−i−i11-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ1611111-1-1-1-11-1-111-1-11111-1-1-1-11111111-1-1-1-1-1-11-1-1−i−i−i−iiiii-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111ii−i−i−i−i−i−iiiiiiiii−i−i−i−i-1-111iiii−i−i−i−i1111-1-1-1-1−i−iii
χ171-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-111-1-111-1-1ii−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1i−ii−i11-1-111-1-1ii−i−iii−i−i1-11-111-1-111-1-1ii−i−iii−i−ii−ii−i
χ181-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-111-1-111-1-1ii−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111i−ii−i11-1-111-1-1ii−i−iii−i−i-11-11-1-111-1-111−i−iii−i−iii−ii−ii
χ191-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-111-1-111-1-1−i−iii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1−ii−ii11-1-111-1-1−i−iii−i−iii1-11-111-1-111-1-1−i−iii−i−iii−ii−ii
χ201-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-111-1-111-1-1−i−iii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111−ii−ii11-1-111-1-1−i−iii−i−iii-11-11-1-111-1-111ii−i−iii−i−ii−ii−i
χ211-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-1-1-111-1-111ii−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i11-1-111-1-1−ii−ii-1-111-1-111−i−iii−i−iii1-11-1-1-111-1-111ii−i−iii−i−i−ii−ii
χ221-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-1-1-111-1-111ii−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-111-1-111−ii−ii-1-111-1-111−i−iii−i−iii-11-1111-1-111-1-1−i−iii−i−iiii−ii−i
χ231-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-1-1-111-1-111−i−iii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii11-1-111-1-1i−ii−i-1-111-1-111ii−i−iii−i−i1-11-1-1-111-1-111−i−iii−i−iiii−ii−i
χ241-1-1-1-111-1-111-1111-1111-111-1-1-111-1-1-1-1111-1-1-111-1-1-111-1-111−i−iii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-111-1-111i−ii−i-1-111-1-111ii−i−iii−i−i-11-1111-1-111-1-1ii−i−iii−i−i−ii−ii
χ251-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-111-111-1ii−i−i−i−iii-1-11111-1-11-1-11ii−i−i−i−iiiii−i−i−i−iii-111-1
χ261-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11ii−i−i−i−iiiii−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-1-111-1ii−i−i−i−iii-1-11111-1-1-111-1−i−iiiii−i−i−i−iiiii−i−i1-1-11
χ271-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-1111-1-11ii−i−i−i−iii11-1-1-1-1111-1-11ii−i−i−i−iii−i−iiiii−i−i1-1-11
χ281-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11ii−i−i−i−iii−i−iiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-11-1-11ii−i−i−i−iii11-1-1-1-111-111-1−i−iiiii−i−iii−i−i−i−iii-111-1
χ291-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11−i−iiiii−i−iii−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii11-1-1-1-1111-1-11−i−iiiii−i−i11-1-1-1-1111-1-11−i−iiiii−i−iii−i−i−i−iii1-1-11
χ301-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11−i−iiiii−i−iii−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-1-11111-1-11-1-11−i−iiiii−i−i11-1-1-1-111-111-1ii−i−i−i−iii−i−iiiii−i−i-111-1
χ311-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i11-1-1-1-111-111-1−i−iiiii−i−i-1-11111-1-11-1-11−i−iiiii−i−i−i−iiiii−i−i-111-1
χ321-1-1-1-1-1-1111-1111-11111-1-1-111-111-1-1-1-1-1-1-11111-11−i−iiiii−i−i−i−iiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-1-11111-1-1-111-1−i−iiiii−i−i-1-11111-1-1-111-1ii−i−i−i−iiiii−i−i−i−iii1-1-11
χ3322222222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-200000000000000002222222200000000000000000000-2-2-2-200000000000000000000
χ3422222222222222222-2-2-2-2-2-2-2-22222222222222220000000000000000-2-2-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000222200000000000000000000
χ352222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000002222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ362222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ372222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000-2-2-2-21111111111111111000000000000000000000000
χ382222222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1111111111111111100000000222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3922222-2-2-2-22-2-222-2-22-2-2-22222-2222222-2-2-2-2-2-22-2-20000000000000000-2-2-22222-200000000000000002222-2-2-2-200000000000000000000-2-22200000000000000000000
χ4022222-2-2-2-22-2-222-2-22-2-2-22222-2222222-2-2-2-2-2-22-2-20000000000000000-2-2-22222-20000000000000000-2-2-2-222220000000000000000000022-2-200000000000000000000
χ4122222-2-2-2-22-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1111111-1112i2i2i2i−2i−2i−2i−2i2222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111000000002i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000000000000000
χ4222222-2-2-2-22-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1111111-1112i2i2i2i−2i−2i−2i−2i-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-100000000−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000000000000000
χ4322222-2-2-2-22-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1111111-111−2i−2i−2i−2i2i2i2i2i2222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111100000000−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000000000000000
χ4422222-2-2-2-22-2-222-2-2-1222-2-2-2-22-1-1-1-1-1-1111111-111−2i−2i−2i−2i2i2i2i2i-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1000000002i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000000000000000
χ45222-2-22-22222-2-2-2-2-222-222-22-2-2-2-222-2-22-2-222-222-22-22-22-22-2000000002-222-22-2-200000000000000000000000000002-22-22-22-200000000000000000000000000000000
χ46222-2-22-22222-2-2-2-2-222-222-22-2-2-2-222-2-22-2-222-222-2-22-22-22-22000000002-222-22-2-20000000000000000000000000000-22-22-22-2200000000000000000000000000000000
χ47222-2-22-22222-2-2-2-2-22-22-2-22-222-2-222-2-22-2-222-222-20000000000000000-22-2-22-2220000000000000000000000000000000000000000000000002i−2i2i−2i2i−2i2i−2i000000000000
χ48222-2-22-22222-2-2-2-2-22-22-2-22-222-2-222-2-22-2-222-222-20000000000000000-22-2-22-222000000000000000000000000000000000000000000000000−2i2i−2i2i−2i2i−2i2i000000000000
χ49222-2-22-22222-2-2-2-2-2-12-222-22-2-211-1-111-111-1-11-1-112-22-22-22-200000000-11-1-11-11133−3−333−3−333−3−333−3−3000000000000-11-11-11-113−33−33−33−3000000000000000000000000
χ50222-2-22-22222-2-2-2-2-2-12-222-22-2-211-1-111-111-1-11-1-112-22-22-22-200000000-11-1-11-111−3−333−3−333−3−333−3−333000000000000-11-11-11-11−33−33−33−33000000000000000000000000
χ51222-2-22-22222-2-2-2-2-2-12-222-22-2-211-1-111-111-1-11-1-11-22-22-22-2200000000-11-1-11-11133−3−333−3−333−3−333−3−30000000000001-11-11-11-1−33−33−33−33000000000000000000000000
χ52222-2-22-22222-2-2-2-2-2-12-222-22-2-211-1-111-111-1-11-1-11-22-22-22-2200000000-11-1-11-111−3−333−3−333−3−333−3−3330000000000001-11-11-11-13−33−33−33−3000000000000000000000000
χ53222-2-2-22-2-22-22-2-22222-22-22-22-2-2-222-2-2-222-2-222-222i−2i2i−2i−2i2i−2i2i000000002-22-22-22-200000000000000000000000000002i−2i2i−2i−2i2i−2i2i00000000000000000000000000000000
χ54222-2-2-22-2-22-22-2-22222-22-22-22-2-2-222-2-2-222-2-222-22−2i2i−2i2i2i−2i2i−2i000000002-22-22-22-20000000000000000000000000000−2i2i−2i2i2i−2i2i−2i00000000000000000000000000000000
χ55222-2-2-22-2-22-22-2-2222-22-22-22-22-2-222-2-2-222-2-222-220000000000000000-22-22-22-220000000000000000000000000000000000000000000000002-22-2-22-22000000000000
χ56222-2-2-22-2-22-22-2-2222-22-22-22-22-2-222-2-2-222-2-222-220000000000000000-22-22-22-22000000000000000000000000000000000000000000000000-22-222-22-2000000000000
χ57222-2-2-22-2-22-22-2-222-12-22-22-22-211-1-1111-1-111-1-11-12i−2i2i−2i−2i2i−2i2i00000000-11-11-11-1133−3−333−3−3−3−333−3−333000000000000−ii−iii−ii−ii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ58222-2-2-22-2-22-22-2-222-12-22-22-22-211-1-1111-1-111-1-11-12i−2i2i−2i−2i2i−2i2i00000000-11-11-11-11−3−333−3−33333−3−333−3−3000000000000−ii−iii−ii−i−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ59222-2-2-22-2-22-22-2-222-12-22-22-22-211-1-1111-1-111-1-11-1−2i2i−2i2i2i−2i2i−2i00000000-11-11-11-1133−3−333−3−3−3−333−3−333000000000000i−ii−i−ii−ii−i3i3−i3i3i3−i3i3−i3000000000000000000000000
χ60222-2-2-22-2-22-22-2-222-12-22-22-22-211-1-1111-1-111-1-11-1−2i2i−2i2i2i−2i2i−2i00000000-11-11-11-11−3−333−3−33333−3−333−3−3000000000000i−ii−i−ii−iii3−i3i3−i3−i3i3−i3i3000000000000000000000000
χ6122-22-22-22-2-2-222-22-22000000002-22-22-222-22-2-2-2-2200000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22i−2i2i−2i2i−2i2i−2i000000000000000000000000000000002−22−22−22−20000
χ6222-22-22-22-2-2-222-22-22000000002-22-22-222-22-2-2-2-2200000000−i2i2−i2i2−i2i2−i2i200000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000−22−22−22−220000
χ6322-22-22-22-2-2-222-22-22000000002-22-22-222-22-2-2-2-2200000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000−22−22−22−220000
χ6422-22-22-22-2-2-222-22-22000000002-22-22-222-22-2-2-2-2200000000i2−i2i2−i2i2−i2i2−i200000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2−2i2i−2i2i−2i2i−2i2i000000000000000000000000000000002−22−22−22−20000
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Here i is the imaginary unit (i² = −1).