Finite Group Databasebeta

← Group #10799092

Character table — Group #10799092

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111112222222222222222222222222222222222224444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order12222222222234444444466666666666666688888888888812121212121212122424242424242424242424242424242422224444666666661212121212121212444444448888888822444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-111-1-111
χ911111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1-1-111
χ1011111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1
χ1111111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-11111-1-1
χ1211111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111
χ1311111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ1411111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1
χ1511111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ1611111111-1-1-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ17111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1iiii−i−i−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−iii−i−iii−i−i11-1-111-1-11-1i−i1-1i−i
χ18111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1iiii−i−i−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i1-11-1i−ii−i11-1-111-1-1ii−i−iii−i−i−i−iii−i−iii-1-111-1-111-11−ii-11−ii
χ19111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1iiii−i−i−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iiiii−i−iii−i−i11-1-111-1-1-11−ii-11−ii
χ20111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1iiii−i−i−i−iii−i−i11-111-1-1-1iiii−i−i−i−iiiii−i−i−i−i-11-11−ii−ii-1-111-1-111−i−iii−i−iii−i−iii−i−iii-1-111-1-1111-1i−i1-1i−i
χ21111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1−i−i−i−iiiii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iiiii−i−iii−i−i-1-111-1-111-11i−i-11i−i
χ22111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1−i−i−i−iiiii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii1-11-1−ii−ii11-1-111-1-1−i−iii−i−iii−i−iii−i−iii11-1-111-1-11-1−ii1-1−ii
χ23111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1−i−i−i−iiiii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−iii−i−iii−i−i-1-111-1-1111-1−ii1-1−ii
χ24111-1-1-11-111-1-111-111-1-1-1111-1-1-11111-1-1-1-11-1−i−i−i−iiiii−i−iii11-111-1-1-1−i−i−i−iiiii−i−i−i−iiiii-11-11i−ii−i-1-111-1-111ii−i−iii−i−i−i−iii−i−iii11-1-111-1-1-11i−i-11i−i
χ25111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1iiii−i−i−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii11-1-1-1-1111-1−ii-11i−i
χ26111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1iiii−i−i−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii1-1-11i−i−ii11-1-1-1-111ii−i−i−i−iii−i−iiiii−i−i-1-11111-1-1-11i−i1-1−ii
χ27111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1iiii−i−i−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−iii−i−i−i−iii11-1-1-1-111-11i−i1-1−ii
χ28111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1iiii−i−i−i−i−i−iii11-1-1-111-1iiii−i−i−i−i−i−i−i−iiiii-111-1−iii−i-1-11111-1-1−i−iiiii−i−i−i−iiiii−i−i-1-11111-1-11-1−ii-11i−i
χ29111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1−i−i−i−iiiiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−iii−i−i−i−iii-1-11111-1-1-11−ii1-1i−i
χ30111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1−i−i−i−iiiiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i1-1-11−iii−i11-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i11-1-1-1-1111-1i−i-11−ii
χ31111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1−i−i−i−iiiiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iiiii−i−i−i−iii-1-11111-1-11-1i−i-11−ii
χ32111-1-1-11-1-1-11111-1-1-111-1111-1-1-1-1-1-1-111111-1−i−i−i−iiiiiii−i−i11-1-1-111-1−i−i−i−iiiiiiiii−i−i−i−i-111-1i−i−ii-1-11111-1-1ii−i−i−i−iii−i−iiiii−i−i11-1-1-1-111-11−ii1-1i−i
χ332222222222222-2-2-2-2-2-2-2-2222222222222222000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-22-22-20000000000000000
χ342222222222222-2-2-2-2-2-2-2-2222222222222222000000000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22-22-220000000000000000
χ35222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ36222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ37222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ38222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ3922222222-2-2-2-22-2-22222-2-222222-2-2-2-2-2-2-2-222000000000000-2-2-22222-200000000000000000000000000000000000000002-22-2-22-220000000000000000
χ4022222222-2-2-2-22-2-22222-2-222222-2-2-2-2-2-2-2-222000000000000-2-2-22222-20000000000000000000000000000000000000000-22-222-22-20000000000000000
χ4122222222-2-2-2-2-122-2-2-2-222-1-1-1-1-111111111-1-122222222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ4222222222-2-2-2-2-122-2-2-2-222-1-1-1-1-111111111-1-122222222-2-2-2-2-1-1-11111-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ4322222222-2-2-2-2-122-2-2-2-222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ4422222222-2-2-2-2-122-2-2-2-222-1-1-1-1-111111111-1-1-2-2-2-2-2-2-2-22222-1-1-11111-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ45222-2-2-22-222-2-22-22-2-2222-222-2-2-22222-2-2-2-22-2000000000000-2-22-2-222200000000000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ46222-2-2-22-222-2-22-22-2-2222-222-2-2-22222-2-2-2-22-2000000000000-2-22-2-22220000000000000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ47222-2-2-22-222-2-2-12-222-2-2-22-1-1111-1-1-1-11111-112i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-11-1-1111−i−i−i−iiiii−i−i−i−iiiii2-22-22i−2i2i−2i-1-111-1-111−i−iii−i−iii000000000000000000000000
χ48222-2-2-22-222-2-2-12-222-2-2-22-1-1111-1-1-1-11111-112i2i2i2i−2i−2i−2i−2i2i2i−2i−2i-1-11-1-1111−i−i−i−iiiii−i−i−i−iiiii-22-22−2i2i−2i2i11-1-111-1-1ii−i−iii−i−i000000000000000000000000
χ49222-2-2-22-222-2-2-12-222-2-2-22-1-1111-1-1-1-11111-11−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-11-1-1111iiii−i−i−i−iiiii−i−i−i−i2-22-2−2i2i−2i2i-1-111-1-111ii−i−iii−i−i000000000000000000000000
χ50222-2-2-22-222-2-2-12-222-2-2-22-1-1111-1-1-1-11111-11−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i-1-11-1-1111iiii−i−i−i−iiiii−i−i−i−i-22-222i−2i2i−2i11-1-111-1-1−i−iii−i−iii000000000000000000000000
χ51222-2-2-22-2-2-2222-2222-2-22-222-2-2-2-2-2-2-222222-2000000000000-2-2222-2-2200000000000000000000000000000000000000002i−2i−2i2i−2i2i2i−2i0000000000000000
χ52222-2-2-22-2-2-2222-2222-2-22-222-2-2-2-2-2-2-222222-2000000000000-2-2222-2-220000000000000000000000000000000000000000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ53222-2-2-22-2-2-222-12-2-2-222-22-1-11111111-1-1-1-1-112i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-1-1111-1-11−i−i−i−iiiiiiiii−i−i−i−i2-2-222i−2i−2i2i-1-11111-1-1−i−iiiii−i−i000000000000000000000000
χ54222-2-2-22-2-2-222-12-2-2-222-22-1-11111111-1-1-1-1-112i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-1-1111-1-11−i−i−i−iiiiiiiii−i−i−i−i-222-2−2i2i2i−2i11-1-1-1-111ii−i−i−i−iii000000000000000000000000
χ55222-2-2-22-2-2-222-12-2-2-222-22-1-11111111-1-1-1-1-11−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1111-1-11iiii−i−i−i−i−i−i−i−iiiii2-2-22−2i2i2i−2i-1-11111-1-1ii−i−i−i−iii000000000000000000000000
χ56222-2-2-22-2-2-222-12-2-2-222-22-1-11111111-1-1-1-1-11−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-1-1111-1-11iiii−i−i−i−i−i−i−i−iiiii-222-22i−2i−2i2i11-1-1-1-111−i−iiiii−i−i000000000000000000000000
χ572-2-222-22-22-22-22222-22-2-2-2-2-222-222-2-222-2-22-22i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2-222-22-2-22i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ582-2-222-22-22-22-22222-22-2-2-2-2-222-222-2-222-2-22-2−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i2-222-22-2-2−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ592-2-222-22-22-22-22-2-2-22-2222-2-222-222-2-222-2-22-2000000000000-22-2-22-2220000000000000000000000000000000000000000000000002-22-22-22-200000000
χ602-2-222-22-22-22-22-2-2-22-2222-2-222-222-2-222-2-22-2000000000000-22-2-22-222000000000000000000000000000000000000000000000000-22-22-22-2200000000
χ612-2-222-22-22-22-2-1222-22-2-2-211-1-11-1-111-1-111-112i2i−2i−2i2i2i−2i−2i2i−2i2i−2i-11-1-11-111−i−iii−i−iii−i−iii−i−iii00000000−i3i3−i3i3−i3i3−i3i33−33−33−33−3000000000000000000000000
χ622-2-222-22-22-22-2-1222-22-2-2-211-1-11-1-111-1-111-112i2i−2i−2i2i2i−2i−2i2i−2i2i−2i-11-1-11-111−i−iii−i−iii−i−iii−i−iii00000000i3−i3i3−i3i3−i3i3−i3−33−33−33−33000000000000000000000000
χ632-2-222-22-22-22-2-1222-22-2-2-211-1-11-1-111-1-111-11−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i-11-1-11-111ii−i−iii−i−iii−i−iii−i−i00000000−i3i3−i3i3−i3i3−i3i3−33−33−33−33000000000000000000000000
χ642-2-222-22-22-22-2-1222-22-2-2-211-1-11-1-111-1-111-11−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i-11-1-11-111ii−i−iii−i−iii−i−iii−i−i00000000i3−i3i3−i3i3−i3i3−i33−33−33−33−3000000000000000000000000
χ652-2-222-22-2-22-22222-22-22-2-2-2-222-2-2-222-2-2222-22i2i−2i−2i2i2i−2i−2i−2i2i−2i2i2-22-22-22-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ662-2-222-22-2-22-22222-22-22-2-2-2-222-2-2-222-2-2222-2−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2-22-22-22-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ672-2-222-22-2-22-222-2-22-22-222-2-222-2-2-222-2-2222-2000000000000-22-22-22-220000000000000000000000000000000000000000000000002-22-2-22-2200000000
χ682-2-222-22-2-22-222-2-22-22-222-2-222-2-2-222-2-2222-2000000000000-22-22-22-22000000000000000000000000000000000000000000000000-22-222-22-200000000
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χ1204-4-4-4-4444-444-4-2-444-4-44-442222-222-2-2-2-222-2-20000000000002-2-2-222-220000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).