Finite Group Databasebeta

← Group #199371

Character table — Group #199371

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222224444444444442222444444444444444444888888888888888888888888888888882244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ9111111-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i11-1-1ii−i−i
χ10111111-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-111-1-1iiii−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii-1-111−i−iii
χ11111111-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii11-1-1−i−iii
χ12111111-1-1-1-111111-1-1-1-11-1-111-1-1111-1-1-11111-1-1-1-111-1-1−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i-1-111ii−i−i
χ13111111-1-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1-11-1−i−iii-1-111ii−i−i
χ14111111-1-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-11-11ii−i−i11-1-1−i−iii
χ15111111-1-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i1-11-1ii−i−i-1-111−i−iii
χ16111111-1-1-1-111111-1-1-1-11-1-1-1-111111-1-1-1-1-1-1-11111-1-111−i−i−i−iiiii−i−i−i−iiiiiiiiiiiii−i−i−i−i−i−i−i−i-11-11−i−iii11-1-1ii−i−i
χ171111-1-111-1-1-1-11-1-111-1-11-1-1111111-111-111-1-111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i1-1-11i−ii−i1-11-1i−ii−i
χ181111-1-111-1-1-1-11-1-111-1-11-1-1111111-111-111-1-111-1-1-1-1-1-1ii−i−iii−i−iii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i-111-1−ii−ii-11-11−ii−ii
χ191111-1-111-1-1-1-11-1-111-1-11-1-1111111-111-111-1-111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii1-1-11−ii−ii1-11-1−ii−ii
χ201111-1-111-1-1-1-11-1-111-1-11-1-1111111-111-111-1-111-1-1-1-1-1-1−i−iii−i−iii−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii-111-1i−ii−i-11-11i−ii−i
χ211111-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-111-1-1-111-1-1111111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii1-1-11−ii−ii-11-11i−ii−i
χ221111-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-111-1-1-111-1-1111111ii−i−iii−i−iii−i−iii−i−i−i−i−i−iiiii−i−i−i−iiiii-111-1i−ii−i1-11-1−ii−ii
χ231111-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-111-1-1-111-1-1111111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i1-1-11i−ii−i-11-11−ii−ii
χ241111-1-111-1-1-1-11-1-111-1-11-1-1-1-1-1-111-111-1-1-111-1-1111111−i−iii−i−iii−i−iii−i−iiiiiii−i−i−i−iiiii−i−i−i−i-111-1−ii−ii1-11-1i−ii−i
χ251111-1-1-1-111-1-11-1-1-1-11111111-1-111-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-11-1-111-1-111-1-11
χ261111-1-1-1-111-1-11-1-1-1-11111111-1-111-1-1-1111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-111-111-1-111-1-111-1
χ271111-1-1-1-111-1-11-1-1-1-11111111-1-111-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-111-11-1-11-111-1
χ281111-1-1-1-111-1-11-1-1-1-11111111-1-111-1-1-1111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1111-1-11-111-11-1-11
χ291111-1-1-1-111-1-11-1-1-1-111111-1-11111-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-111-1-111-11-1-11
χ301111-1-1-1-111-1-11-1-1-1-111111-1-11111-1-1-11-1-11111-1-111-1-111-1-1-1-11111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-111-1-11-111-1
χ311111-1-1-1-111-1-11-1-1-1-111111-1-11111-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1111111-1-11-1-11-111-1-111-1
χ321111-1-1-1-111-1-11-1-1-1-111111-1-11111-1-1-11-1-11111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-111-11-1-111-1-11
χ33222222222222-2-2-2-2-2-22-2-2200002-2-22-2-2000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ34222222222222-2-2-2-2-2-22-2-2200002-2-22-2-20000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ352222222222-2-2222222-222-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000000000000000
χ362222222222-2-2222222-222-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000000000000000
χ372222222222-2-2-2-2-2-2-2-2-2-2-2-20000-222-2220000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ382222222222-2-2-2-2-2-2-2-2-2-2-2-20000-222-222000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ39222222-2-2-2-222-2-2-2222-2-22-200002-2-2-22200000000000000000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000
χ40222222-2-2-2-222-2-2-2222-2-22-200002-2-2-2220000000000000000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000
χ41222222-2-2-2-2-2-2222-2-2-222-2222-2-2-2-2-2222-2-2-2-2222222-2-2000000000000000000000000000000000000000000000000
χ42222222-2-2-2-2-2-2222-2-2-222-22-2-222-2-2-22222222-2-2-2-2-2-222000000000000000000000000000000000000000000000000
χ43222222-2-2-2-2-2-2-2-2-22222-2220000-2222-2-200000000000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ44222222-2-2-2-2-2-2-2-2-22222-2220000-2222-2-2000000000000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ452222-2-222-2-2222-2-222-222-222222-2-22-2-22-2-222-2-222-2-2-2-2000000000000000000000000000000000000000000000000
χ462222-2-222-2-2222-2-222-222-22-2-2-2-2-2-22-2-2222-2-222-2-22222000000000000000000000000000000000000000000000000
χ472222-2-222-2-222-222-2-222-2220000-22-2-22-200000000000022222222-2-2-2-2-2-2-2-200000000000000000000000000000000
χ482222-2-222-2-222-222-2-222-2220000-22-2-22-2000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000
χ492222-2-222-2-2-2-2-222-2-22-2-22-200002-222-2200000000000000000000000000002i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i0000000000000000
χ502222-2-222-2-2-2-2-222-2-22-2-22-200002-222-220000000000000000000000000000−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i0000000000000000
χ512222-2-2-2-222222-2-2-2-22-222-222-2-2-2-2222-2-2-22222-2-2-2-222000000000000000000000000000000000000000000000000
χ522222-2-2-2-222222-2-2-2-22-222-2-2-222-2-2222-222-2-2-2-22222-2-2000000000000000000000000000000000000000000000000
χ532222-2-2-2-22222-22222-2-2-2-2-20000-22-22-220000000000002i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i00000000000000000000000000000000
χ542222-2-2-2-22222-22222-2-2-2-2-20000-22-22-22000000000000−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i00000000000000000000000000000000
χ552222-2-2-2-222-2-2-22222-22-2-2200002-22-22-2000000000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ562222-2-2-2-222-2-2-22222-22-2-2200002-22-22-20000000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ572-2-222-22-22-20022-22-2-20-22000000000002i−2i2i−2i2i−2i2i−2i00002−22−22−22−22−22−22−22−2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ582-2-222-22-22-20022-22-2-20-22000000000002i−2i2i−2i2i−2i2i−2i0000−22−22−22−22−22−22−22−22−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ592-2-222-22-22-20022-22-2-20-2200000000000−2i2i−2i2i−2i2i−2i2i00002−22−22−22−22−22−22−22−2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000
χ602-2-222-22-22-20022-22-2-20-2200000000000−2i2i−2i2i−2i2i−2i2i0000−22−22−22−22−22−22−22−22i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000000000
χ612-2-222-22-22-200-2-22-22202-202-22-2000000000000002-22-2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ622-2-222-22-22-200-2-22-22202-202-22-2000000000000002-22-2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ632-2-222-22-22-200-2-22-22202-20-22-2200000000000000-22-22i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i20000000000000000
χ642-2-222-22-22-200-2-22-22202-20-22-2200000000000000-22-22−i2i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i20000000000000000
χ652-2-222-2-22-220022-2-2220-2-2000000000002i−2i2i−2i−2i2i−2i2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2−22−22−22−222−22−22−22−20000000000000000
χ662-2-222-2-22-220022-2-2220-2-2000000000002i−2i2i−2i−2i2i−2i2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i22−22−22−22−2−22−22−22−220000000000000000
χ672-2-222-2-22-220022-2-2220-2-200000000000−2i2i−2i2i2i−2i2i−2i0000i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−i2i2−i2i22−22−22−22−2−22−22−22−220000000000000000
χ682-2-222-2-22-220022-2-2220-2-200000000000−2i2i−2i2i2i−2i2i−2i0000−i2i2−i2i2i2−i2i2−i2−i2i2−i2i2i2−i2i2−i2−22−22−22−222−22−22−22−20000000000000000
χ692-2-222-2-22-2200-2-222-2-202202-2-22000000000000002-2-222−2−22−222−2−222−22−2−222−2−222−2−22−222−2−222−20000000000000000
χ702-2-222-2-22-2200-2-222-2-202202-2-22000000000000002-2-22−222−22−2−222−2−22−222−2−222−2−222−22−2−222−2−220000000000000000
χ712-2-222-2-22-2200-2-222-2-20220-222-200000000000000-222-22−2−22−222−2−222−22−2−22−222−2−222−22−2−222−2−220000000000000000
χ722-2-222-2-22-2200-2-222-2-20220-222-200000000000000-222-2−222−22−2−222−2−22−222−22−2−222−2−22−222−2−222−20000000000000000
χ732-2-22-222-2-22002-222-220-2-2000000000002i−2i−2i2i2i−2i−2i2i0000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2−22−222−22−2−22−222−22−20000000000000000
χ742-2-22-222-2-22002-222-220-2-2000000000002i−2i−2i2i2i−2i−2i2i0000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i22−22−2−22−222−22−2−22−220000000000000000
χ752-2-22-222-2-22002-222-220-2-200000000000−2i2i2i−2i−2i2i2i−2i0000i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i22−22−2−22−222−22−2−22−220000000000000000
χ762-2-22-222-2-22002-222-220-2-200000000000−2i2i2i−2i−2i2i2i−2i0000−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−22−222−22−2−22−222−22−20000000000000000
χ772-2-22-222-2-2200-22-2-22-202202-22-200000000000000-22-222−22−22−22−2−22−22−22−222−2−22−222−22−2−22−222−20000000000000000
χ782-2-22-222-2-2200-22-2-22-202202-22-200000000000000-22-22−22−22−22−222−22−22−22−2−222−22−2−22−222−22−2−220000000000000000
χ792-2-22-222-2-2200-22-2-22-20220-22-22000000000000002-22-22−22−22−22−2−22−22−22−22−222−22−2−22−222−22−2−220000000000000000
χ802-2-22-222-2-2200-22-2-22-20220-22-22000000000000002-22-2−22−22−22−222−22−22−22−22−2−22−222−22−2−22−222−20000000000000000
χ812-2-22-22-222-2002-22-22-20-22000000000002i−2i−2i2i−2i2i2i−2i00002−2−22−222−22−2−22−222−2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ822-2-22-22-222-2002-22-22-20-22000000000002i−2i−2i2i−2i2i2i−2i0000−222−22−2−22−222−22−2−22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ832-2-22-22-222-2002-22-22-20-2200000000000−2i2i2i−2i2i−2i−2i2i00002−2−22−222−22−2−22−222−2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i20000000000000000
χ842-2-22-22-222-2002-22-22-20-2200000000000−2i2i2i−2i2i−2i−2i2i0000−222−22−2−22−222−22−2−22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i20000000000000000
χ852-2-22-22-222-200-22-22-2202-202-2-2200000000000000-222-2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ862-2-22-22-222-200-22-22-2202-202-2-2200000000000000-222-2−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ872-2-22-22-222-200-22-22-2202-20-222-2000000000000002-2-22i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2i2−i2i2−i2−i2i2i2−i2i2−i2−i2i2i2−i2−i2i2−i2i2i2−i20000000000000000
χ882-2-22-22-222-200-22-22-2202-20-222-2000000000000002-2-22−i2i2−i2i2i2−i2i2−i2i2−i2i2−i2−i2i2−i2i2i2−i2−i2i2−i2i2i2−i2−i2i2i2−i2i2−i2−i2i20000000000000000
χ8988-8-800000000000000800-80000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800000000000000-80080000000000000000000000000000000000000000000000000000000000000000000000
χ918-88-80000008i−8i00000000000000000000000000000000000000000000000000000000000000000000000000000000
χ928-88-8000000−8i8i00000000000000000000000000000000000000000000000000000000000000000000000000000000

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