Finite Group Databasebeta

← Group #10727934

Character table — Group #10727934

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111111111111111122222222222222222222222244444444444444444444444444444444888888888888888888888888121212121212121212121212121212122424242424242424
order1222222222222222222222223666666666666666222222226666666666666666666666664444444412121212121212121212121212121212444444444444444444444444
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1
χ91111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1
χ131111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111
χ141111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1
χ151111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1
χ161111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111
χ17222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000
χ18222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000000000000000
χ19222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000000000000000
χ20222222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000000000000000
χ212222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000000000000000
χ222222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000000000000000
χ232222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000000000000000
χ242222222222222222-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000000000000000
χ25222222-2-2-2-2-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-222-2-2000000002222-2-2-2-20000000000000000000000000000000000000000000000002i2i−2i−2i2i2i−2i−2i00000000
χ26222222-2-2-2-2-2-222-2-22222-2-2-2-2222222-2-2-2-2-2-222-2-2000000002222-2-2-2-2000000000000000000000000000000000000000000000000−2i−2i2i2i−2i−2i2i2i00000000
χ27222222-2-2-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-200000000-2-2-2-222220000000000000000000000000000000000000000000000002i2i−2i−2i−2i−2i2i2i00000000
χ28222222-2-2-2-2-2-222-2-2-2-2-2-22222222222-2-2-2-2-2-222-2-200000000-2-2-2-22222000000000000000000000000000000000000000000000000−2i−2i2i2i2i2i−2i−2i00000000
χ292222-2-22-222-2-2-2-22-222-2-222-2-22222-2-222-2-2-2-2-2-2220000000022-2-222-2-20000000000000000000000000000000000000000000000000000000000002i−2i2i−2i
χ302222-2-22-222-2-2-2-22-222-2-222-2-22222-2-222-2-2-2-2-2-2220000000022-2-222-2-2000000000000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ312222-2-22-222-2-2-2-22-2-2-222-2-2222222-2-222-2-2-2-2-2-22200000000-2-222-2-2220000000000000000000000000000000000000000000000000000000000002i−2i−2i2i
χ322222-2-22-222-2-2-2-22-2-2-222-2-2222222-2-222-2-2-2-2-2-22200000000-2-222-2-222000000000000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ332222-2-2-22-2-222-2-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-20000000022-2-2-2-22200000000000000002i−2i2i−2i00002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ342222-2-2-22-2-222-2-2-2222-2-2-2-2222222-2-2-2-22222-2-2-2-20000000022-2-2-2-2220000000000000000−2i2i−2i2i0000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ352222-2-2-22-2-222-2-2-2222-2-2-2-222-1-1-1-11111-1-1-1-1111100000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i32i−2i2i−2i0000−i−iii−i−iii33−3−333−3−3000000000000000000000000
χ362222-2-2-22-2-222-2-2-2222-2-2-2-222-1-1-1-11111-1-1-1-1111100000000-1-11111-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−2i2i−2i2i0000ii−i−iii−i−i−3−333−3−333000000000000000000000000
χ372222-2-2-22-2-222-2-2-2222-2-2-2-222-1-1-1-11111-1-1-1-1111100000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i32i−2i2i−2i0000−i−iii−i−iii−3−333−3−333000000000000000000000000
χ382222-2-2-22-2-222-2-2-2222-2-2-2-222-1-1-1-11111-1-1-1-1111100000000-1-11111-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−2i2i−2i2i0000ii−i−iii−i−i33−3−333−3−3000000000000000000000000
χ392222-2-2-22-2-222-2-2-22-2-22222-2-22222-2-2-2-22222-2-2-2-200000000-2-22222-2-200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ402222-2-2-22-2-222-2-2-22-2-22222-2-22222-2-2-2-22222-2-2-2-200000000-2-22222-2-20000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ412222-2-2-22-2-222-2-2-22-2-22222-2-2-1-1-1-11111-1-1-1-111110000000011-1-1-1-111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32i−2i−2i2i0000−i−iiiii−i−i33−3−3−3−333000000000000000000000000
χ422222-2-2-22-2-222-2-2-22-2-22222-2-2-1-1-1-11111-1-1-1-111110000000011-1-1-1-111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3−2i2i2i−2i0000ii−i−i−i−iii−3−33333−3−3000000000000000000000000
χ432222-2-2-22-2-222-2-2-22-2-22222-2-2-1-1-1-11111-1-1-1-111110000000011-1-1-1-111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32i−2i−2i2i0000−i−iiiii−i−i−3−33333−3−3000000000000000000000000
χ442222-2-2-22-2-222-2-2-22-2-22222-2-2-1-1-1-11111-1-1-1-111110000000011-1-1-1-111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−2i2i2i−2i0000ii−i−i−i−iii33−3−3−3−333000000000000000000000000
χ4522-2-2222-2-2-222-2-22-22-22-22-22-222-2-2222222-2-2-2-2-2-2000000002-22-22-22-2000000000000000000002i−2i2i−2i000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ4622-2-2222-2-2-222-2-22-22-22-22-22-222-2-2222222-2-2-2-2-2-2000000002-22-22-22-200000000000000000000−2i2i−2i2i00000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ4722-2-2222-2-2-222-2-22-22-22-22-22-2-1-111-1-1-1-1-1-111111100000000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i3−33−33−33−3−ii−ii−ii−ii000000000000000000000000
χ4822-2-2222-2-2-222-2-22-22-22-22-22-2-1-111-1-1-1-1-1-111111100000000-11-11-11-11−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i−33−33−33−33i−ii−ii−ii−i000000000000000000000000
χ4922-2-2222-2-2-222-2-22-22-22-22-22-2-1-111-1-1-1-1-1-111111100000000-11-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i−33−33−33−33−ii−ii−ii−ii000000000000000000000000
χ5022-2-2222-2-2-222-2-22-22-22-22-22-2-1-111-1-1-1-1-1-111111100000000-11-11-11-11i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i3−33−33−33−3i−ii−ii−ii−i000000000000000000000000
χ5122-2-2222-2-2-222-2-22-2-22-22-22-2222-2-2222222-2-2-2-2-2-200000000-22-22-22-22000000000000000000002i−2i−2i2i000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ5222-2-2222-2-2-222-2-22-2-22-22-22-2222-2-2222222-2-2-2-2-2-200000000-22-22-22-2200000000000000000000−2i2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ5322-2-2222-2-2-222-2-22-2-22-22-22-22-1-111-1-1-1-1-1-1111111000000001-11-11-11-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i300002i−2i−2i2i3−33−3−33−33−ii−iii−ii−i000000000000000000000000
χ5422-2-2222-2-2-222-2-22-2-22-22-22-22-1-111-1-1-1-1-1-1111111000000001-11-11-11-1−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000−2i2i2i−2i−33−333−33−3i−ii−i−ii−ii000000000000000000000000
χ5522-2-2222-2-2-222-2-22-2-22-22-22-22-1-111-1-1-1-1-1-1111111000000001-11-11-11-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i300002i−2i−2i2i−33−333−33−3−ii−iii−ii−i000000000000000000000000
χ5622-2-2222-2-2-222-2-22-2-22-22-22-22-1-111-1-1-1-1-1-1111111000000001-11-11-11-1i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000−2i2i2i−2i3−33−3−33−33i−ii−i−ii−ii000000000000000000000000
χ5722-2-222-2222-2-2-2-2-222-22-2-22-2222-2-222-2-2-2-222-2-222000000002-22-2-22-22000000000000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ5822-2-222-2222-2-2-2-2-222-22-2-22-2222-2-222-2-2-2-222-2-222000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ5922-2-222-2222-2-2-2-2-22-22-222-22-222-2-222-2-2-2-222-2-22200000000-22-222-22-2000000000000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ6022-2-222-2222-2-2-2-2-22-22-222-22-222-2-222-2-2-2-222-2-22200000000-22-222-22-200000000000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ6122-2-2-2-222-2-2-2-222222-2-222-2-2222-2-2-2-222-2-22222-2-2000000002-2-222-2-22000000000000000000000000000000000000000022-2-222-2-20000000000000000
χ6222-2-2-2-222-2-2-2-222222-2-222-2-2222-2-2-2-222-2-22222-2-2000000002-2-222-2-220000000000000000000000000000000000000000-2-222-2-2220000000000000000
χ6322-2-2-2-222-2-2-2-22222-222-2-222-222-2-2-2-222-2-22222-2-200000000-222-2-222-2000000000000000000000000000000000000000022-2-2-2-2220000000000000000
χ6422-2-2-2-222-2-2-2-22222-222-2-222-222-2-2-2-222-2-22222-2-200000000-222-2-222-20000000000000000000000000000000000000000-2-22222-2-20000000000000000
χ6522-2-2-2-2-2-2222222-2-22-2-22-222-222-2-2-2-2-2-222-2-2222222-2-222-2-22-2-22-222-222-2-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ6622-2-2-2-2-2-2222222-2-22-2-22-222-222-2-2-2-2-2-222-2-22222-2-222-2-2222-2-22-222-2-2-22222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ6722-2-2-2-2-2-2222222-2-22-2-22-222-2-1-1111111-1-111-1-1-1-122-2-222-2-2-111-11-1-11-1-11111-1-1-1-11111-1-100000000−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ6822-2-2-2-2-2-2222222-2-22-2-22-222-2-1-1111111-1-111-1-1-1-122-2-222-2-2-111-11-1-11-1-11111-1-1-1-11111-1-100000000i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ6922-2-2-2-2-2-2222222-2-22-2-22-222-2-1-1111111-1-111-1-1-1-1-2-222-2-222-111-11-1-1111-1-1-1-11111-1-1-1-11100000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3000000000000000000000000
χ7022-2-2-2-2-2-2222222-2-22-2-22-222-2-1-1111111-1-111-1-1-1-1-2-222-2-222-111-11-1-1111-1-1-1-11111-1-1-1-11100000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3000000000000000000000000
χ7122-2-2-2-2-2-2222222-2-2-222-22-2-2222-2-2-2-2-2-222-2-2222222-2-2-2-222-222-22-2-2222-2-2-2-222-2-22222-2-2000000000000000000000000000000000000000000000000
χ7222-2-2-2-2-2-2222222-2-2-222-22-2-2222-2-2-2-2-2-222-2-22222-2-22222-2-2-222-22-2-22-2-22222-2-222-2-2-2-222000000000000000000000000000000000000000000000000
χ7322-2-2-2-2-2-2222222-2-2-222-22-2-22-1-1111111-1-111-1-1-1-122-2-2-2-2221-1-11-111-1-1-11111-1-111-1-1-1-11100000000−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3000000000000000000000000
χ7422-2-2-2-2-2-2222222-2-2-222-22-2-22-1-1111111-1-111-1-1-1-122-2-2-2-2221-1-11-111-1-1-11111-1-111-1-1-1-11100000000i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3000000000000000000000000
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Here i is the imaginary unit (i² = −1).