Finite Group Databasebeta

← Group #14701

Character table — Group #14701

Order 256.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88
size1111111111111111222222222222222222222222222222222222222222222222222222228888888888888888
order1222222222222222444444444444444444444444444444444444444444444444444444442244444444444444
χ11111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ411111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111
χ5111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1
χ6111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111
χ7111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-111
χ8111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1
χ91111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-111-1-111-1-1
χ101111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111
χ111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-111
χ121111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1
χ131111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111
χ141111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ151111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1111111-1-1-1-1
χ161111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-11111-1-1-1-1-1-11111
χ17111-1-11111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-11-1i−i1-1i−ii−i1-1i−i
χ18111-1-11111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-11-11−ii-11−ii−ii-11−ii
χ19111-1-11111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-11-1i−i-11−iii−i-11−ii
χ20111-1-11111-1-1-1-11-1-11111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-11-11−ii1-1i−i−ii1-1i−i
χ21111-1-11111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-11-1−ii1-1−ii−ii1-1−ii
χ22111-1-11111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-11-11i−i-11i−ii−i-11i−i
χ23111-1-11111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-11-1−ii-11i−i−ii-11i−i
χ24111-1-11111-1-1-1-11-1-11111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-11-11i−i1-1−iii−i1-1−ii
χ25111-1-11111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1-1-11i−i-11i−i−ii1-1−ii
χ26111-1-11111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-111-1−ii1-1−iii−i-11i−i
χ27111-1-11111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1-1-11i−i1-1−ii−ii-11i−i
χ28111-1-11111-1-1-1-11-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-111-1−ii-11i−ii−i1-1−ii
χ29111-1-11111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1-1-11−ii-11−iii−i1-1i−i
χ30111-1-11111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1iiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-111-1i−i1-1i−i−ii-11−ii
χ31111-1-11111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1-1-11−ii1-1i−ii−i-11−ii
χ32111-1-11111-1-1-1-11-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-111-1i−i-11−ii−ii1-1i−i
χ3322222-2-2-2-2-2-2-2-22222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i000000000000000022-2-222-2-200000000000000000000000000000000
χ3422222-2-2-2-2-2-2-2-22222i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000-2-222-2-22200000000000000000000000000000000
χ3522222-2-2-2-2-2-2-2-2222−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000-2-222-2-22200000000000000000000000000000000
χ3622222-2-2-2-2-2-2-2-2222−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i000000000000000022-2-222-2-200000000000000000000000000000000
χ37222-2-2-2-2-2-222222-2-22i2i−2i−2i−2i−2i2i2i22-2-2-2-2220000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ38222-2-2-2-2-2-222222-2-22i2i−2i−2i−2i−2i2i2i-2-22222-2-200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ39222-2-2-2-2-2-222222-2-2−2i−2i2i2i2i2i−2i−2i22-2-2-2-22200000000000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000000000
χ40222-2-2-2-2-2-222222-2-2−2i−2i2i2i2i2i−2i−2i-2-22222-2-20000000000000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000000000
χ4122-22-222-2-222-2-2-22-2000000002-22-22-22-22i2i−2i−2i2i2i−2i−2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ4222-22-222-2-222-2-2-22-2000000002-22-22-22-2−2i−2i2i2i−2i−2i2i2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4322-22-222-2-222-2-2-22-200000000-22-22-22-222i2i−2i−2i2i2i−2i−2i000000000000000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000
χ4422-22-222-2-222-2-2-22-200000000-22-22-22-22−2i−2i2i2i−2i−2i2i2i0000000000000000000000002i2i−2i−2i2i2i−2i−2i0000000000000000
χ4522-22-2-2-222-2-222-22-2000000002i−2i−2i2i2i−2i−2i2i0000000022-2-222-2-2000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4622-22-2-2-222-2-222-22-2000000002i−2i−2i2i2i−2i−2i2i00000000-2-222-2-22200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4722-22-2-2-222-2-222-22-200000000−2i2i2i−2i−2i2i2i−2i0000000022-2-222-2-200000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000
χ4822-22-2-2-222-2-222-22-200000000−2i2i2i−2i−2i2i2i−2i00000000-2-222-2-222000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000
χ4922-2-2222-2-2-2-222-2-22000000002i−2i2i−2i−2i2i−2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000-2-22222-2-20000000000000000
χ5022-2-2222-2-2-2-222-2-22000000002i−2i2i−2i−2i2i−2i2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000022-2-2-2-2220000000000000000
χ5122-2-2222-2-2-2-222-2-2200000000−2i2i−2i2i2i−2i2i−2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000022-2-2-2-2220000000000000000
χ5222-2-2222-2-2-2-222-2-2200000000−2i2i−2i2i2i−2i2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000-2-22222-2-20000000000000000
χ5322-2-22-2-22222-2-2-2-22000000002-2-22-222-2000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ5422-2-22-2-22222-2-2-2-22000000002-2-22-222-200000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5522-2-22-2-22222-2-2-2-2200000000-222-22-2-22000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ5622-2-22-2-22222-2-2-2-2200000000-222-22-2-2200000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ572-222-22-22-22-22-2-2-222-22-22-22-2000000002i−2i2i−2i2i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ582-222-22-22-22-22-2-2-222-22-22-22-200000000−2i2i−2i2i−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ592-222-22-22-22-22-2-2-22-22-22-22-22000000002i−2i2i−2i2i−2i2i−2i0000000000000000−2i2i−2i2i−2i2i−2i2i000000000000000000000000
χ602-222-22-22-22-22-2-2-22-22-22-22-2200000000−2i2i−2i2i−2i2i−2i2i00000000000000002i−2i2i−2i2i−2i2i−2i000000000000000000000000
χ612-222-2-22-22-22-22-2-222i−2i−2i2i2i−2i−2i2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000002-22-22-22-20000000000000000
χ622-222-2-22-22-22-22-2-222i−2i−2i2i2i−2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000-22-22-22-220000000000000000
χ632-222-2-22-22-22-22-2-22−2i2i2i−2i−2i2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000-22-22-22-220000000000000000
χ642-222-2-22-22-22-22-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000002-22-22-22-20000000000000000
χ652-22-222-22-2-22-22-22-22-22-2-22-22000000002i−2i2i−2i−2i2i−2i2i00000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ662-22-222-22-2-22-22-22-22-22-2-22-2200000000−2i2i−2i2i2i−2i2i−2i0000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ672-22-222-22-2-22-22-22-2-22-222-22-2000000002i−2i2i−2i−2i2i−2i2i0000000000000000−2i2i−2i2i2i−2i2i−2i000000000000000000000000
χ682-22-222-22-2-22-22-22-2-22-222-22-200000000−2i2i−2i2i2i−2i2i−2i00000000000000002i−2i2i−2i−2i2i−2i2i000000000000000000000000
χ692-22-22-22-222-22-2-22-22i−2i−2i2i−2i2i2i−2i00000000000000002-22-2-22-220000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ702-22-22-22-222-22-2-22-22i−2i−2i2i−2i2i2i−2i0000000000000000-22-222-22-200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ712-22-22-22-222-22-2-22-2−2i2i2i−2i2i−2i−2i2i00000000000000002-22-2-22-2200000000000000002i−2i2i−2i−2i2i−2i2i0000000000000000
χ722-22-22-22-222-22-2-22-2−2i2i2i−2i2i−2i−2i2i0000000000000000-22-222-22-20000000000000000−2i2i−2i2i2i−2i2i−2i0000000000000000
χ732-2-2222-2-222-2-222-2-200000000000000002-2-222-2-222i−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ742-2-2222-2-222-2-222-2-200000000000000002-2-222-2-22−2i2i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ752-2-2222-2-222-2-222-2-20000000000000000-222-2-222-22i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000
χ762-2-2222-2-222-2-222-2-20000000000000000-222-2-222-2−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000
χ772-2-222-222-2-222-22-2-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i2-2-222-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000
χ782-2-222-222-2-222-22-2-2000000000000000000000000000000002i−2i−2i2i2i−2i−2i2i-222-2-222-22i−2i−2i2i2i−2i−2i2i0000000000000000
χ792-2-222-222-2-222-22-2-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i2-2-222-2-222i−2i−2i2i2i−2i−2i2i0000000000000000
χ802-2-222-222-2-222-22-2-200000000000000000000000000000000−2i2i2i−2i−2i2i2i−2i-222-2-222-2−2i2i2i−2i−2i2i2i−2i0000000000000000
χ812-2-2-2-22-2-22-222-222200000000000000002-2-22-222-22-2-22-222-22-22-2-22-2200000000000000000000000000000000
χ822-2-2-2-22-2-22-222-222200000000000000002-2-22-222-2-222-22-2-22-22-222-22-200000000000000000000000000000000
χ832-2-2-2-22-2-22-222-22220000000000000000-222-22-2-222-2-22-222-2-22-222-22-200000000000000000000000000000000
χ842-2-2-2-22-2-22-222-22220000000000000000-222-22-2-22-222-22-2-222-22-2-22-2200000000000000000000000000000000
χ852-2-2-2-2-222-22-2-22222000000000000000000000000000000002-2-22-222-22-2-22-222-2-222-22-2-220000000000000000
χ862-2-2-2-2-222-22-2-22222000000000000000000000000000000002-2-22-222-2-222-22-2-222-2-22-222-20000000000000000
χ872-2-2-2-2-222-22-2-2222200000000000000000000000000000000-222-22-2-222-2-22-222-22-2-22-222-20000000000000000
χ882-2-2-2-2-222-22-2-2222200000000000000000000000000000000-222-22-2-22-222-22-2-22-222-22-2-220000000000000000

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