Finite Group Databasebeta

← Group #392613

Character table — Group #392613

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size1111222222222222224444444444444444444444444444444444444444444444444444444488881616161616161616161616161616
order12222222224444444422222222222244444444444444444444444444444444444444444444888844444444888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-1
χ4111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111
χ51111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-111-1-1
χ61111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ71111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1
χ9111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111
χ10111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
χ11111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-111-1-1
χ12111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-11111-1-111
χ13111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1
χ14111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-11111
χ15111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ16111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1
χ171-11-11-1-111-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i11-1-1i−i1-11-1i−i1-1i−ii−i
χ181-11-11-1-111-111-1-111-1-111-1-111-1-111-1-1ii−i−iii−i−iii−i−i11-1-111-1-111-1-1ii−i−iii−i−iii−i−iiiii−i−i−i−i-1-111−ii-11-11−ii-11−ii−ii
χ191-11-11-1-111-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii11-1-1−ii1-11-1−ii1-1−ii−ii
χ201-11-11-1-111-111-1-111-1-111-1-111-1-111-1-1−i−iii−i−iii−i−iii11-1-111-1-111-1-1−i−iii−i−iii−i−iii−i−i−i−iiiii-1-111i−i-11-11i−i-11i−ii−i
χ211-11-11-1-111-111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii11-1-1−ii1-1-11i−i-11i−i−ii
χ221-11-11-1-111-111-1-111-1-111-1-1-1-111-1-111ii−i−iii−i−i−i−iii11-1-1-1-111-1-111ii−i−iii−i−i−i−iii−i−i−i−iiiii-1-111i−i-111-1−ii1-1−iii−i
χ231-11-11-1-111-111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−i11-1-1-1-111-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i11-1-1i−i1-1-11−ii-11−iii−i
χ241-11-11-1-111-111-1-111-1-111-1-1-1-111-1-111−i−iii−i−iiiii−i−i11-1-1-1-111-1-111−i−iii−i−iiiii−i−iiiii−i−i−i−i-1-111−ii-111-1i−i1-1i−i−ii
χ251-11-11-1-111-111-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii11-1-1−ii-111-1i−i-11−iii−i
χ261-11-11-1-111-111-1-111-1-1-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i-1-11111-1-1-1-111ii−i−i−i−iiiii−i−i−i−i−i−iiiii-1-111i−i1-1-11−ii1-1i−i−ii
χ271-11-11-1-111-111-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i11-1-1i−i-111-1−ii-11i−i−ii
χ281-11-11-1-111-111-1-111-1-1-1-11111-1-1-1-111−i−iiiii−i−i−i−iii-1-11111-1-1-1-111−i−iiiii−i−i−i−iiiiiii−i−i−i−i-1-111−ii1-1-11i−i1-1−iii−i
χ291-11-11-1-111-111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iii-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i11-1-1i−i-11-11i−i1-1−ii−ii
χ301-11-11-1-111-111-1-111-1-1-1-111-1-11111-1-1ii−i−i−i−iii−i−iii-1-111-1-11111-1-1ii−i−i−i−iii−i−iiiiiii−i−i−i−i-1-111−ii1-11-1−ii-11i−ii−i
χ311-11-11-1-111-111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii11-1-1−ii-11-11−ii1-1i−ii−i
χ321-11-11-1-111-111-1-111-1-1-1-111-1-11111-1-1−i−iiiii−i−iii−i−i-1-111-1-11111-1-1−i−iiiii−i−iii−i−i−i−i−i−iiiii-1-111i−i1-11-1i−i-11−ii−ii
χ332222222222-2-2-2-2-2-2-2-2000000002-22-200002-22-22-22-2000000002-22-200002-22-22-22-200000000000000000000000000
χ342222222222-2-2-2-2-2-2-2-2000000002-22-20000-22-22-22-22000000002-22-20000-22-22-22-2200000000000000000000000000
χ352222222222-2-2-2-2-2-2-2-200000000-22-2200002-22-2-22-2200000000-22-2200002-22-2-22-2200000000000000000000000000
χ362222222222-2-2-2-2-2-2-2-200000000-22-220000-22-222-22-200000000-22-220000-22-222-22-200000000000000000000000000
χ3722222-2-2-2-2222-2-2-2-2222-22-22-22-222220000000000002-22-22-22-2-2-2-2-200000000000000000000000000000000000000
χ3822222-2-2-2-2222-2-2-2-2222-22-2-22-22-2-2-2-20000000000002-22-2-22-22222200000000000000000000000000000000000000
χ3922222-2-2-2-2222-2-2-2-222-22-222-22-2-2-2-2-2000000000000-22-222-22-2222200000000000000000000000000000000000000
χ4022222-2-2-2-2222-2-2-2-222-22-22-22-222222000000000000-22-22-22-22-2-2-2-200000000000000000000000000000000000000
χ4122222-2-2-2-22-2-22222-2-2000000002-22-222220000000000000000-22-22-2-2-2-20000000022-2-222-2-2000000000000000000
χ4222222-2-2-2-22-2-22222-2-2000000002-22-2-2-2-2-20000000000000000-22-22222200000000-2-222-2-222000000000000000000
χ4322222-2-2-2-22-2-22222-2-200000000-22-22222200000000000000002-22-2-2-2-2-200000000-2-222-2-222000000000000000000
χ4422222-2-2-2-22-2-22222-2-200000000-22-22-2-2-2-200000000000000002-22-222220000000022-2-222-2-2000000000000000000
χ452222-22-22-2-22-22-22-22-200002222000000002-22-200000000-2-2-2-200000000-22-2200002-22-22-22-2000000000000000000
χ462222-22-22-2-22-22-22-22-20000222200000000-22-2200000000-2-2-2-2000000002-22-20000-22-22-22-22000000000000000000
χ472222-22-22-2-22-22-22-22-20000-2-2-2-2000000002-22-200000000222200000000-22-220000-22-22-22-22000000000000000000
χ482222-22-22-2-22-22-22-22-20000-2-2-2-200000000-22-22000000002222000000002-22-200002-22-22-22-2000000000000000000
χ492222-22-22-2-2-22-22-22-222-22-2000000002-22-222220000-22-22000000002-22-2-2-2-2-2000000000000000000000000000000
χ502222-22-22-2-2-22-22-22-222-22-200000000-22-22-2-2-2-20000-22-2200000000-22-222222000000000000000000000000000000
χ512222-22-22-2-2-22-22-22-22-22-22000000002-22-2-2-2-2-200002-22-2000000002-22-22222000000000000000000000000000000
χ522222-22-22-2-2-22-22-22-22-22-2200000000-22-22222200002-22-200000000-22-22-2-2-2-2000000000000000000000000000000
χ532222-2-22-22-22-2-22-222-200002-22-200002-22-20000-2-2-2-20000-22-220000-22-220000222200000000000000000000000000
χ542222-2-22-22-22-2-22-222-200002-22-20000-22-22000022220000-22-2200002-22-20000-2-2-2-200000000000000000000000000
χ552222-2-22-22-22-2-22-222-20000-22-2200002-22-20000222200002-22-20000-22-220000-2-2-2-200000000000000000000000000
χ562222-2-22-22-22-2-22-222-20000-22-220000-22-220000-2-2-2-200002-22-200002-22-20000222200000000000000000000000000
χ572222-2-22-22-2-222-22-2-22222200000000000000002-22-2-2-2-2-20000000000000000-22-22-222-2-222-2000000000000000000
χ582222-2-22-22-2-222-22-2-2222220000000000000000-22-22-2-2-2-200000000000000002-22-22-2-222-2-22000000000000000000
χ592222-2-22-22-2-222-22-2-22-2-2-2-200000000000000002-22-222220000000000000000-22-222-2-222-2-22000000000000000000
χ602222-2-22-22-2-222-22-2-22-2-2-2-20000000000000000-22-22222200000000000000002-22-2-222-2-222-2000000000000000000
χ612-22-2222-2-2-22222-2-2-2-22-2-222-2-2222-2-20000000000002-2-222-2-22-2-22200000000000000000000000000000000000000
χ622-22-2222-2-2-22222-2-2-2-22-2-22-222-2-2-2220000000000002-2-22-222-222-2-200000000000000000000000000000000000000
χ632-22-2222-2-2-22222-2-2-2-2-222-22-2-22-2-222000000000000-222-22-2-2222-2-200000000000000000000000000000000000000
χ642-22-2222-2-2-22222-2-2-2-2-222-2-222-222-2-2000000000000-222-2-222-2-2-22200000000000000000000000000000000000000
χ652-22-2222-2-2-2-2-2-2-22222000000002-2-222i2i−2i−2i0000000000000000-222-2−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ662-22-2222-2-2-2-2-2-2-22222000000002-2-22−2i−2i2i2i0000000000000000-222-22i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ672-22-2222-2-2-2-2-2-2-2222200000000-222-22i2i−2i−2i00000000000000002-2-22−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i000000000000000000
χ682-22-2222-2-2-2-2-2-2-2222200000000-222-2−2i−2i2i2i00000000000000002-2-222i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i000000000000000000
χ692-22-22-2-222-2-2-222-2-222000000002-2-2200002i−2i−2i2i2i−2i−2i2i000000002-2-2200002i−2i−2i2i2i−2i−2i2i00000000000000000000000000
χ702-22-22-2-222-2-2-222-2-222000000002-2-220000−2i2i2i−2i−2i2i2i−2i000000002-2-220000−2i2i2i−2i−2i2i2i−2i00000000000000000000000000
χ712-22-22-2-222-2-2-222-2-22200000000-222-200002i−2i−2i2i−2i2i2i−2i00000000-222-200002i−2i−2i2i−2i2i2i−2i00000000000000000000000000
χ722-22-22-2-222-2-2-222-2-22200000000-222-20000−2i2i2i−2i2i−2i−2i2i00000000-222-20000−2i2i2i−2i2i−2i−2i2i00000000000000000000000000
χ732-22-2-22-2-2222-22-2-22-2200002-2-2200002i−2i−2i2i0000−2i−2i2i2i0000-222-20000−2i2i2i−2i00002i2i−2i−2i00000000000000000000000000
χ742-22-2-22-2-2222-22-2-22-2200002-2-220000−2i2i2i−2i00002i2i−2i−2i0000-222-200002i−2i−2i2i0000−2i−2i2i2i00000000000000000000000000
χ752-22-2-22-2-2222-22-2-22-220000-222-200002i−2i−2i2i00002i2i−2i−2i00002-2-220000−2i2i2i−2i0000−2i−2i2i2i00000000000000000000000000
χ762-22-2-22-2-2222-22-2-22-220000-222-20000−2i2i2i−2i0000−2i−2i2i2i00002-2-2200002i−2i−2i2i00002i2i−2i−2i00000000000000000000000000
χ772-22-2-22-2-222-22-222-22-222-2-200000000000000002i−2i−2i2i-2-2220000000000000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i000000000000000000
χ782-22-2-22-2-222-22-222-22-222-2-20000000000000000−2i2i2i−2i-2-22200000000000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i000000000000000000
χ792-22-2-22-2-222-22-222-22-2-2-22200000000000000002i−2i−2i2i22-2-20000000000000000−2i2i2i−2i2i−2i−2i2i−2i2i2i−2i000000000000000000
χ802-22-2-22-2-222-22-222-22-2-2-2220000000000000000−2i2i2i−2i22-2-200000000000000002i−2i−2i2i−2i2i2i−2i2i−2i−2i2i000000000000000000
χ812-22-2-2-222-222-2-222-2-22000022-2-2000000002i−2i−2i2i00000000-2-22200000000−2i2i2i−2i00002i−2i2i−2i−2i2i−2i2i000000000000000000
χ822-22-2-2-222-222-2-222-2-22000022-2-200000000−2i2i2i−2i00000000-2-222000000002i−2i−2i2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ832-22-2-2-222-222-2-222-2-220000-2-222000000002i−2i−2i2i0000000022-2-200000000−2i2i2i−2i0000−2i2i−2i2i2i−2i2i−2i000000000000000000
χ842-22-2-2-222-222-2-222-2-220000-2-22200000000−2i2i2i−2i0000000022-2-2000000002i−2i−2i2i00002i−2i2i−2i−2i2i−2i2i000000000000000000
χ852-22-2-2-222-22-222-2-222-22-2-22000000002i−2i−2i2i2i2i−2i−2i0000-222-2000000002i−2i−2i2i−2i−2i2i2i000000000000000000000000000000
χ862-22-2-2-222-22-222-2-222-22-2-2200000000−2i2i2i−2i−2i−2i2i2i0000-222-200000000−2i2i2i−2i2i2i−2i−2i000000000000000000000000000000
χ872-22-2-2-222-22-222-2-222-2-222-2000000002i−2i−2i2i−2i−2i2i2i00002-2-22000000002i−2i−2i2i2i2i−2i−2i000000000000000000000000000000
χ882-22-2-2-222-22-222-2-222-2-222-200000000−2i2i2i−2i2i2i−2i−2i00002-2-2200000000−2i2i2i−2i−2i−2i2i2i000000000000000000000000000000
χ8988-8-8000000000000000000000000000000000000000000000000000000000000000000000022−2222−2200000000000000
χ9088-8-80000000000000000000000000000000000000000000000000000000000000000000000−2222−222200000000000000
χ918-8-88000000000000000000000000000000000000000000000000000000000000000000000022−22−222200000000000000
χ928-8-880000000000000000000000000000000000000000000000000000000000000000000000−222222−2200000000000000

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