Finite Group Databasebeta

← Group #206056

Character table — Group #206056

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size111122222222222222222244444444444444444444444444444444444444444444444444444416161616161616161616161616161616
order12222222444444444444442444444444444444444444888888888888888888888888888888882444444488888888
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
χ51111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ61111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ71111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111
χ911111111-1-1-1-11-1-1-1-1111111-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1
χ1011111111-1-1-1-11-1-1-1-1111111-1-11-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111
χ1111111111-1-1-1-11-1-1-1-1111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-111
χ1211111111-1-1-1-11-1-1-1-1111111-1-11-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11111-1-1
χ1311111111-1-1-1-11-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-11111-1-1
χ1411111111-1-1-1-11-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-111-1-1-1-111
χ1511111111-1-1-1-11-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-111
χ1611111111-1-1-1-11-1-1-1-1111111-1-11-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1
χ17111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-11-11-11-11-1i−ii−ii−ii−i
χ18111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111iiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1-11-11-11-11−ii−ii−ii−ii
χ19111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-111111-11-1-11-11i−ii−i−ii−ii
χ20111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111iiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiii-1-1-1-11111-1-1-1-11111-11-111-11-1−ii−iii−ii−i
χ21111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-111111-11-1-11-11−ii−iii−ii−i
χ22111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i-1-1-1-11111-1-1-1-11111-11-111-11-1i−ii−i−ii−ii
χ23111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-11-11-11-11-1−ii−ii−ii−ii
χ24111111-1-111111-1-1-1-1-1-11-1-1-1-1-1111−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1-11-11-11-11i−ii−ii−ii−i
χ25111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-111111-1-111-1-11i−i−iii−i−ii
χ26111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiii1111-1-1-1-1-1-1-1-11111-111-1-111-1−iii−i−iii−i
χ27111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-11-1-11-111-1i−i−ii−iii−i
χ28111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1iiii−i−i−i−i−i−i−i−iiiii−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-111111111-1-1-1-1-111-11-1-11−iii−ii−i−ii
χ29111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-11-1-11-111-1−iii−ii−i−ii
χ30111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−iiiii−i−i−i−i−i−i−i−iiiii-1-1-1-111111111-1-1-1-1-111-11-1-11i−i−ii−iii−i
χ31111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-111111-1-111-1-11−iii−i−iii−i
χ32111111-1-1-1-1-1-111111-1-11-1-1-1111-1-1−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i1111-1-1-1-1-1-1-1-11111-111-1-111-1i−i−iii−i−ii
χ33222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-200000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ34222222222222-2-2-2-2-2-2-2-2-2-2222-2-2-20000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3522222222-2-2-2-2-22222-2-2-2-2-22-2-2-22200000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000
χ3622222222-2-2-2-2-22222-2-2-2-2-22-2-2-2220000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000
χ37222222-2-22222-2222222-222-2-2-2-2-2-2000000000000000022-2-2-2-22222-2-2-2-22200000000000000000000000000000000
χ38222222-2-22222-2222222-222-2-2-2-2-2-20000000000000000-2-22222-2-2-2-22222-2-200000000000000000000000000000000
χ39222222-2-2-2-2-2-2-2-2-2-2-222-222-222-222000000000000000022-2-2-2-222-2-22222-2-200000000000000000000000000000000
χ40222222-2-2-2-2-2-2-2-2-2-2-222-222-222-2220000000000000000-2-22222-2-222-2-2-2-22200000000000000000000000000000000
χ412222-2-22222-2-2222-2-2222-2-2-22-2-22-20000000000000000000000000000000022-2-222-2-222-2-222-2-20000000000000000
χ422222-2-22222-2-2222-2-2222-2-2-22-2-22-200000000000000000000000000000000-2-222-2-222-2-222-2-2220000000000000000
χ432222-2-22222-2-2-2-2-222-2-2-222-22-22-2222-2-222-2-222-2-222-2-2000000000000000000000000000000000000000000000000
χ442222-2-22222-2-2-2-2-222-2-2-222-22-22-22-2-222-2-222-2-222-2-222000000000000000000000000000000000000000000000000
χ452222-2-222-2-2222-2-222222-2-2-2-22-2-220000000000000000000000000000000022-2-222-2-2-2-222-2-2220000000000000000
χ462222-2-222-2-2222-2-222222-2-2-2-22-2-2200000000000000000000000000000000-2-222-2-22222-2-222-2-20000000000000000
χ472222-2-222-2-222-222-2-2-2-2-222-2-2222-222-2-222-2-2-2-222-2-222000000000000000000000000000000000000000000000000
χ482222-2-222-2-222-222-2-2-2-2-222-2-2222-2-2-222-2-22222-2-222-2-2000000000000000000000000000000000000000000000000
χ492222-2-2-2-222-2-22-2-222-2-22222-22-22-20000000000000000000000000000000022-2-2-2-22222-2-2-2-2220000000000000000
χ502222-2-2-2-222-2-22-2-222-2-22222-22-22-200000000000000000000000000000000-2-22222-2-2-2-22222-2-20000000000000000
χ512222-2-2-2-222-2-2-222-2-222-2-2-22-222-222i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ522222-2-2-2-222-2-2-222-2-222-2-2-22-222-22−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ532222-2-2-2-2-2-222222-2-2-2-222222-2-2-220000000000000000000000000000000022-2-2-2-222-2-22222-2-20000000000000000
χ542222-2-2-2-2-2-222222-2-2-2-222222-2-2-2200000000000000000000000000000000-2-22222-2-222-2-2-2-2220000000000000000
χ552222-2-2-2-2-2-222-2-2-22222-2-2-222-222-22i2i−2i−2i−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i000000000000000000000000000000000000000000000000
χ562222-2-2-2-2-2-222-2-2-22222-2-2-222-222-2−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i−2i−2i2i2i000000000000000000000000000000000000000000000000
χ572-22-22-2002i−2i2i−2i02-22-22i−2i02i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ3−2ζ32ζ−2ζ00002ζ−2ζ2ζ3−2ζ300i2−i2i2−i22−22−22−22−2i2−i2i2−i20000000000000000
χ582-22-22-2002i−2i2i−2i02-22-22i−2i02i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ32ζ3−2ζ2ζ0000−2ζ2ζ−2ζ32ζ300−i2i2−i2i2−22−22−22−22−i2i2−i2i20000000000000000
χ592-22-22-2002i−2i2i−2i02-22-22i−2i02i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ3−2ζ32ζ−2ζ00002ζ−2ζ2ζ3−2ζ300−i2i2−i2i2−22−22−22−22−i2i2−i2i20000000000000000
χ602-22-22-2002i−2i2i−2i02-22-22i−2i02i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ32ζ3−2ζ2ζ0000−2ζ2ζ−2ζ32ζ300i2−i2i2−i22−22−22−22−2i2−i2i2−i20000000000000000
χ612-22-22-2002i−2i2i−2i0-22-22−2i2i0−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ−2ζ2ζ3−2ζ30000−2ζ32ζ3−2ζ2ζ00i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000
χ622-22-22-2002i−2i2i−2i0-22-22−2i2i0−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ2ζ−2ζ32ζ300002ζ3−2ζ32ζ−2ζ00−i2i2−i2i22−22−2−22−22i2−i2i2−i20000000000000000
χ632-22-22-2002i−2i2i−2i0-22-22−2i2i0−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ−2ζ2ζ3−2ζ30000−2ζ32ζ3−2ζ2ζ00−i2i2−i2i22−22−2−22−22i2−i2i2−i20000000000000000
χ642-22-22-2002i−2i2i−2i0-22-22−2i2i0−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ2ζ−2ζ32ζ300002ζ3−2ζ32ζ−2ζ00i2−i2i2−i2−22−222−22−2−i2i2−i2i20000000000000000
χ652-22-22-200−2i2i−2i2i02-22-2−2i2i0−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i002ζ−2ζ2ζ3−2ζ300002ζ3−2ζ32ζ−2ζ00i2−i2i2−i2−22−22−22−22i2−i2i2−i20000000000000000
χ662-22-22-200−2i2i−2i2i02-22-2−2i2i0−2i2i0000001−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i00−2ζ2ζ−2ζ32ζ30000−2ζ32ζ3−2ζ2ζ00−i2i2−i2i22−22−22−22−2−i2i2−i2i20000000000000000
χ672-22-22-200−2i2i−2i2i02-22-2−2i2i0−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i002ζ−2ζ2ζ3−2ζ300002ζ3−2ζ32ζ−2ζ00−i2i2−i2i22−22−22−22−2−i2i2−i2i20000000000000000
χ682-22-22-200−2i2i−2i2i02-22-2−2i2i0−2i2i000000−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i00−2ζ2ζ−2ζ32ζ30000−2ζ32ζ3−2ζ2ζ00i2−i2i2−i2−22−22−22−22i2−i2i2−i20000000000000000
χ692-22-22-200−2i2i−2i2i0-22-222i−2i02i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i002ζ3−2ζ32ζ−2ζ0000−2ζ2ζ−2ζ32ζ300i2−i2i2−i22−22−2−22−22−i2i2−i2i20000000000000000
χ702-22-22-200−2i2i−2i2i0-22-222i−2i02i−2i0000001+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i00−2ζ32ζ3−2ζ2ζ00002ζ−2ζ2ζ3−2ζ300−i2i2−i2i2−22−222−22−2i2−i2i2−i20000000000000000
χ712-22-22-200−2i2i−2i2i0-22-222i−2i02i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i002ζ3−2ζ32ζ−2ζ0000−2ζ2ζ−2ζ32ζ300−i2i2−i2i2−22−222−22−2i2−i2i2−i20000000000000000
χ722-22-22-200−2i2i−2i2i0-22-222i−2i02i−2i000000−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i00−2ζ32ζ3−2ζ2ζ00002ζ−2ζ2ζ3−2ζ300i2−i2i2−i22−22−2−22−22−i2i2−i2i20000000000000000
χ732-22-2-22002i−2i−2i2i02-2-222i−2i0−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300002ζ−2ζi2−i2−i2i22−2−222−2−22i2−i2−i2i20000000000000000
χ742-22-2-22002i−2i−2i2i02-2-222i−2i0−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζ−i2i2i2−i2−222−2−222−2−i2i2i2−i20000000000000000
χ752-22-2-22002i−2i−2i2i02-2-222i−2i0−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2ζ−2ζ00002ζ3−2ζ32ζ3−2ζ300002ζ−2ζ−i2i2i2−i2−222−2−222−2−i2i2i2−i20000000000000000
χ762-22-2-22002i−2i−2i2i02-2-222i−2i0−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−2ζ2ζ0000−2ζ32ζ3−2ζ32ζ30000−2ζ2ζi2−i2−i2i22−2−222−2−22i2−i2−i2i20000000000000000
χ772-22-2-22002i−2i−2i2i0-222-2−2i2i02i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ32ζ3i2−i2−i2i2−222−22−2−22−i2i2i2−i20000000000000000
χ782-22-2-22002i−2i−2i2i0-222-2−2i2i02i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3−i2i2i2−i22−2−22−222−2i2−i2−i2i20000000000000000
χ792-22-2-22002i−2i−2i2i0-222-2−2i2i02i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i2ζ3−2ζ300002ζ−2ζ−2ζ2ζ0000−2ζ32ζ3−i2i2i2−i22−2−22−222−2i2−i2−i2i20000000000000000
χ802-22-2-22002i−2i−2i2i0-222-2−2i2i02i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−2ζ32ζ30000−2ζ2ζ2ζ−2ζ00002ζ3−2ζ3i2−i2−i2i2−222−22−2−22−i2i2i2−i20000000000000000
χ812-22-2-2200−2i2i2i−2i02-2-22−2i2i02i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i2ζ3−2ζ300002ζ−2ζ2ζ−2ζ00002ζ3−2ζ3i2−i2−i2i2−222−2−222−2i2−i2−i2i20000000000000000
χ822-22-2-2200−2i2i2i−2i02-2-22−2i2i02i−2i0000001+i−1−i−1−i1+i1−i−1+i−1+i1−i−1+i1−i1−i−1+i−1−i1+i1+i−1−i−2ζ32ζ30000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3−i2i2i2−i22−2−222−2−22−i2i2i2−i20000000000000000
χ832-22-2-2200−2i2i2i−2i02-2-22−2i2i02i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i2ζ3−2ζ300002ζ−2ζ2ζ−2ζ00002ζ3−2ζ3−i2i2i2−i22−2−222−2−22−i2i2i2−i20000000000000000
χ842-22-2-2200−2i2i2i−2i02-2-22−2i2i02i−2i000000−1−i1+i1+i−1−i−1+i1−i1−i−1+i1−i−1+i−1+i1−i1+i−1−i−1−i1+i−2ζ32ζ30000−2ζ2ζ−2ζ2ζ0000−2ζ32ζ3i2−i2−i2i2−222−2−222−2i2−i2−i2i20000000000000000
χ852-22-2-2200−2i2i2i−2i0-222-22i−2i0−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζi2−i2−i2i22−2−22−222−2−i2i2i2−i20000000000000000
χ862-22-2-2200−2i2i2i−2i0-222-22i−2i0−2i2i0000001−i−1+i−1+i1−i1+i−1−i−1−i1+i1+i−1−i−1−i1+i1−i−1+i−1+i1−i−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ−2ζ−i2i2i2−i2−222−22−2−22i2−i2−i2i20000000000000000
χ872-22-2-2200−2i2i2i−2i0-222-22i−2i0−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i2ζ−2ζ00002ζ3−2ζ3−2ζ32ζ30000−2ζ2ζ−i2i2i2−i2−222−22−2−22i2−i2−i2i20000000000000000
χ882-22-2-2200−2i2i2i−2i0-222-22i−2i0−2i2i000000−1+i1−i1−i−1+i−1−i1+i1+i−1−i−1−i1+i1+i−1−i−1+i1−i1−i−1+i−2ζ2ζ0000−2ζ32ζ32ζ3−2ζ300002ζ−2ζi2−i2−i2i22−2−22−222−2−i2i2i2−i20000000000000000
χ8988-8-8008-8000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-88000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ918-8-88000000008000000-8000000000000000000000000000000000000000000000000000000000000000000000000
χ928-8-8800000000-80000008000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.