Finite Group Databasebeta

← Group #230503

Character table — Group #230503

Order 512.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size111111111111111122222222222222224444444444444444444444444444444444448888888888888888888888888888888816161616
order12222222444444444444444488888888444444444444888888888888888888888888444444444488888888888888888888884488
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111-1-1-1-1111111111111-1-1-1-11111111111111111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111
χ711111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111
χ811111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111
χ10111111111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ11111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-11111-1-1-1-11111-1-1-1-111-1-1
χ12111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-111111111-1-1-1-11111-1-111
χ13111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1
χ14111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1-1-111
χ15111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ16111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1
χ1711111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i11-1-11111-1-1-1-1ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-111-1-111-1-11-1ii−i−ii−iii−i−iii−i−iii−i−i11-1-11-1i−i
χ1811111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i11-1-11111-1-1-1-1ii−i−iii−i−i−i−i−i−iiiii-1-1-1-1111111-1-1-1-1111-1ii−i−ii−iii−i−i−i−iii−i−iii-1-111-11−ii
χ1911111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i11-1-1-1-1-1-11111ii−i−iii−i−iiiii−i−i−i−i1111-1-1-1-1-1-111-1-1111-1−i−iiii−i−i−iii−i−iiiii−i−i11-1-1-11−ii
χ2011111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i11-1-1-1-1-1-11111ii−i−iii−i−i−i−i−i−iiiii-1-1-1-11111-1-11111-1-11-1−i−iiii−i−i−iiiii−i−i−i−iii-1-1111-1i−i
χ2111111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-1-1111111-1-1-1-1ii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-1-1-11111-1-1-11ii−i−i−ii−i−iiiii−i−i−i−iii-1-111-11−ii
χ2211111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-1-1111111-1-1-1-1ii−i−i−i−iii−i−i−i−iiiii-1-1-1-11111-1-111-1-111-11ii−i−i−ii−i−iii−i−iiiii−i−i11-1-11-1i−i
χ2311111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-1-111-1-1-1-11111ii−i−i−i−iiiiiii−i−i−i−i1111-1-1-1-111-1-1-1-111-11−i−iii−iiii−i−i−i−iii−i−iii-1-1111-1i−i
χ2411111111-1-1-1-1-1-1-1-111-1-1-1-111iiii−i−i−i−i-1-111-1-1-1-11111ii−i−i−i−iii−i−i−i−iiiii-1-1-1-1111111-1-111-1-1-11−i−iii−iiii−i−iii−i−iii−i−i11-1-1-11−ii
χ2511111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii−i−iiiiiii−i−i−i−i-1-1-1-1111111-1-1-1-1111-1−i−iii−ii−i−iiiii−i−iii−i−i-1-111-11i−i
χ2611111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii11-1-11111-1-1-1-1−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-111-1-111-1-11-1−i−iii−ii−i−iii−i−iii−i−iii11-1-11-1−ii
χ2711111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii11-1-1-1-1-1-11111−i−iii−i−iiiiiii−i−i−i−i-1-1-1-11111-1-11111-1-11-1ii−i−i−iiii−i−i−i−iiiii−i−i-1-1111-1−ii
χ2811111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii11-1-1-1-1-1-11111−i−iii−i−iii−i−i−i−iiiii1111-1-1-1-1-1-111-1-1111-1ii−i−i−iiii−i−iii−i−i−i−iii11-1-1-11i−i
χ2911111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-1-1111111-1-1-1-1−i−iiiii−i−iiiii−i−i−i−i-1-1-1-11111-1-111-1-111-11−i−iiii−iii−i−iii−i−i−i−iii11-1-11-1−ii
χ3011111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-1-1111111-1-1-1-1−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-1-1-11111-1-1-11−i−iiii−iii−i−i−i−iiiii−i−i-1-111-11i−i
χ3111111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-1-111-1-1-1-11111−i−iiiii−i−iiiii−i−i−i−i-1-1-1-1111111-1-111-1-1-11ii−i−ii−i−i−iii−i−iii−i−iii11-1-1-11i−i
χ3211111111-1-1-1-1-1-1-1-111-1-1-1-111−i−i−i−iiiii-1-111-1-1-1-11111−i−iiiii−i−i−i−i−i−iiiii1111-1-1-1-111-1-1-1-111-11ii−i−ii−i−i−iiiii−i−iii−i−i-1-1111-1−ii
χ332222222222222222-2-2-2-2-2-2-2-222222222222200000000-2-2-2-22222000000000000000000000000-2-20000-2-200000000000000000000
χ342222222222222222-2-2-2-2-2-2-2-222222222-2-2-2-200000000-2-2-2-2-2-2-2-20000000000000000000000002200002200000000000000000000
χ352222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000002222-2-2-2-2000000000000000000000000-2-200002200000000000000000000
χ362222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000022222222000000000000000000000000220000-2-200000000000000000000
χ3722222222-2-2-2-2-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i22-2-200000000−2i−2i2i2i2i2i−2i−2i000000000000000000000000-220000−2i2i00000000000000000000
χ3822222222-2-2-2-2-2-2-2-2-2-22222-2-22i2i2i2i−2i−2i−2i−2i-2-22200000000−2i−2i2i2i−2i−2i2i2i0000000000000000000000002-200002i−2i00000000000000000000
χ3922222222-2-2-2-2-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i22-2-2000000002i2i−2i−2i−2i−2i2i2i000000000000000000000000-2200002i−2i00000000000000000000
χ4022222222-2-2-2-2-2-2-2-2-2-22222-2-2−2i−2i−2i−2i2i2i2i2i-2-222000000002i2i−2i−2i2i2i−2i−2i0000000000000000000000002-20000−2i2i00000000000000000000
χ412222-2-2-2-222-2-222-2-2-2-222-2-2220000000000002i2i−2i−2i2i2i−2i−2i0000000022-2-222-2-200000000000000000000000000002i−2i2i−2i000000000000
χ422222-2-2-2-222-2-222-2-2-2-222-2-2220000000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-2-2220000000000000000000000000000−2i2i−2i2i000000000000
χ432222-2-2-2-222-2-222-2-2-2-222-2-222000000000000−2i−2i2i2i−2i−2i2i2i0000000022-2-222-2-20000000000000000000000000000−2i2i−2i2i000000000000
χ442222-2-2-2-222-2-222-2-2-2-222-2-222000000000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-2-22200000000000000000000000000002i−2i2i−2i000000000000
χ452222-2-2-2-2-2-222-2-222-2-2-2-222220000000000002i2i−2i−2i−2i−2i2i2i000000002i2i−2i−2i−2i−2i2i2i0000000000000000000000000000-222-2000000000000
χ462222-2-2-2-2-2-222-2-222-2-2-2-222220000000000002i2i−2i−2i−2i−2i2i2i00000000−2i−2i2i2i2i2i−2i−2i00000000000000000000000000002-2-22000000000000
χ472222-2-2-2-2-2-222-2-222-2-2-2-22222000000000000−2i−2i2i2i2i2i−2i−2i000000002i2i−2i−2i−2i−2i2i2i00000000000000000000000000002-2-22000000000000
χ482222-2-2-2-2-2-222-2-222-2-2-2-22222000000000000−2i−2i2i2i2i2i−2i−2i00000000−2i−2i2i2i2i2i−2i−2i0000000000000000000000000000-222-2000000000000
χ4922-2-2-2-22222-2-2-2-222000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000002-22-22−22−22−22−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000i2−i2i2−i22−22−20000
χ5022-2-2-2-22222-2-2-2-222000000002i2i−2i−2i2i2i−2i−2i2i−2i2i−2i0000000000002-22-2−22−22−22−22−i2−i2i2i2−i2−i2i2i2000000000000000000000000−i2i2−i2i2−22−220000
χ5122-2-2-2-22222-2-2-2-222000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i000000000000-22-222−22−22−22−2i2i2−i2−i2i2i2−i2−i2000000000000000000000000−i2i2−i2i2−22−220000
χ5222-2-2-2-22222-2-2-2-222000000002i2i−2i−2i2i2i−2i−2i−2i2i−2i2i000000000000-22-22−22−22−22−22−i2−i2i2i2−i2−i2i2i2000000000000000000000000i2−i2i2−i22−22−20000
χ5322-2-2-2-22222-2-2-2-22200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i000000000000-22-222−22−22−22−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000i2−i2i2−i2−22−220000
χ5422-2-2-2-22222-2-2-2-22200000000−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i000000000000-22-22−22−22−22−22i2i2−i2−i2i2i2−i2−i2000000000000000000000000−i2i2−i2i22−22−20000
χ5522-2-2-2-22222-2-2-2-22200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000002-22-22−22−22−22−2−i2−i2i2i2−i2−i2i2i2000000000000000000000000−i2i2−i2i22−22−20000
χ5622-2-2-2-22222-2-2-2-22200000000−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i0000000000002-22-2−22−22−22−22i2i2−i2−i2i2i2−i2−i2000000000000000000000000i2−i2i2−i2−22−220000
χ5722-2-2-2-222-2-22222-2-20000000022-2-2-2-2222i−2i−2i2i000000000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−222−2−222−20000
χ5822-2-2-2-222-2-22222-2-20000000022-2-2-2-2222i−2i−2i2i000000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i20000000000000000000000002−2−222−2−220000
χ5922-2-2-2-222-2-22222-2-20000000022-2-2-2-222−2i2i2i−2i0000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2−i2−i2i2i2i2i2−i2−i20000000000000000000000002−2−222−2−220000
χ6022-2-2-2-222-2-22222-2-20000000022-2-2-2-222−2i2i2i−2i0000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−222−2−222−20000
χ6122-2-2-2-222-2-22222-2-200000000-2-22222-2-22i−2i−2i2i0000000000002i−2i−2i2ii2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i2000000000000000000000000−222−22−2−220000
χ6222-2-2-2-222-2-22222-2-200000000-2-22222-2-22i−2i−2i2i0000000000002i−2i−2i2i−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i20000000000000000000000002−2−22−222−20000
χ6322-2-2-2-222-2-22222-2-200000000-2-22222-2-2−2i2i2i−2i000000000000−2i2i2i−2ii2−i2i2−i2−i2i2−i2i2i2i2−i2−i2−i2−i2i2i20000000000000000000000002−2−22−222−20000
χ6422-2-2-2-222-2-22222-2-200000000-2-22222-2-2−2i2i2i−2i000000000000−2i2i2i−2i−i2i2−i2i2i2−i2i2−i2−i2−i2i2i2i2i2−i2−i2000000000000000000000000−222−22−2−220000
χ652-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i2-20000000000002-22-22i−2i2i−2i00000000000000002-22-22i−2i2i−2i00002-22i−2i0000000000000000000000000000
χ662-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i2-20000000000002-22-22i−2i2i−2i0000000000000000-22-22−2i2i−2i2i0000-22−2i2i0000000000000000000000000000
χ672-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i2-2000000000000-22-22−2i2i−2i2i00000000000000002-22-22i−2i2i−2i0000-22−2i2i0000000000000000000000000000
χ682-22-22-22-22i−2i2i−2i2i−2i2i−2i2-22i−2i2i−2i2-2000000000000-22-22−2i2i−2i2i0000000000000000-22-22−2i2i−2i2i00002-22i−2i0000000000000000000000000000
χ692-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i2-20000000000002-22-2−2i2i−2i2i00000000000000002-22-2−2i2i−2i2i00002-2−2i2i0000000000000000000000000000
χ702-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i2-20000000000002-22-2−2i2i−2i2i0000000000000000-22-222i−2i2i−2i0000-222i−2i0000000000000000000000000000
χ712-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i2-2000000000000-22-222i−2i2i−2i00000000000000002-22-2−2i2i−2i2i0000-222i−2i0000000000000000000000000000
χ722-22-22-22-2−2i2i−2i2i−2i2i−2i2i2-2−2i2i−2i2i2-2000000000000-22-222i−2i2i−2i0000000000000000-22-222i−2i2i−2i00002-2−2i2i0000000000000000000000000000
χ732-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2−2i2i2i−2i-222ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000002ζ−2ζ2ζ3−2ζ3000000000000000000002-22i−2i0000000000002ζ−2ζ2ζ3−2ζ30000000000000000
χ742-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2−2i2i2i−2i-222ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000000000002ζ−2ζ2ζ3−2ζ300000000000000000000-22−2i2i000000000000−2ζ2ζ−2ζ32ζ30000000000000000
χ752-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2−2i2i2i−2i-22−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000000000−2ζ2ζ−2ζ32ζ3000000000000000000002-22i−2i000000000000−2ζ2ζ−2ζ32ζ30000000000000000
χ762-22-2-22-222i−2i−2i2i2i−2i−2i2i2-2−2i2i2i−2i-22−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ3000000000000−2ζ2ζ−2ζ32ζ300000000000000000000-22−2i2i0000000000002ζ−2ζ2ζ3−2ζ30000000000000000
χ772-22-2-22-222i−2i−2i2i2i−2i−2i2i-222i−2i−2i2i2-22ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ300002i−2i−2i2i-222-2−2ζ2ζ−2ζ32ζ30000000000000000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000000000
χ782-22-2-22-222i−2i−2i2i2i−2i−2i2i-222i−2i−2i2i2-22ζ−2ζ2ζ−2ζ2ζ3−2ζ32ζ3−2ζ30000−2i2i2i−2i2-2-22−2ζ2ζ−2ζ32ζ3000000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000000000
χ792-22-2-22-222i−2i−2i2i2i−2i−2i2i-222i−2i−2i2i2-2−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ300002i−2i−2i2i-222-22ζ−2ζ2ζ3−2ζ3000000000000000000000000000000−2ζ32ζ3−2ζ2ζ0000000000000000000000
χ802-22-2-22-222i−2i−2i2i2i−2i−2i2i-222i−2i−2i2i2-2−2ζ2ζ−2ζ2ζ−2ζ32ζ3−2ζ32ζ30000−2i2i2i−2i2-2-222ζ−2ζ2ζ3−2ζ30000000000000000000000000000002ζ3−2ζ32ζ−2ζ0000000000000000000000
χ812-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22i−2i−2i2i-222ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000002ζ3−2ζ32ζ−2ζ000000000000000000002-2−2i2i0000000000002ζ3−2ζ32ζ−2ζ0000000000000000
χ822-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22i−2i−2i2i-222ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000000000002ζ3−2ζ32ζ−2ζ00000000000000000000-222i−2i000000000000−2ζ32ζ3−2ζ2ζ0000000000000000
χ832-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22i−2i−2i2i-22−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000000000−2ζ32ζ3−2ζ2ζ000000000000000000002-2−2i2i000000000000−2ζ32ζ3−2ζ2ζ0000000000000000
χ842-22-2-22-22−2i2i2i−2i−2i2i2i−2i2-22i−2i−2i2i-22−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ000000000000−2ζ32ζ3−2ζ2ζ00000000000000000000-222i−2i0000000000002ζ3−2ζ32ζ−2ζ0000000000000000
χ852-22-2-22-22−2i2i2i−2i−2i2i2i−2i-22−2i2i2i−2i2-22ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ00002i−2i−2i2i2-2-22−2ζ32ζ3−2ζ2ζ000000000000000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000000000
χ862-22-2-22-22−2i2i2i−2i−2i2i2i−2i-22−2i2i2i−2i2-22ζ3−2ζ32ζ3−2ζ32ζ−2ζ2ζ−2ζ0000−2i2i2i−2i-222-2−2ζ32ζ3−2ζ2ζ0000000000000000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000000000
χ872-22-2-22-22−2i2i2i−2i−2i2i2i−2i-22−2i2i2i−2i2-2−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ00002i−2i−2i2i2-2-222ζ3−2ζ32ζ−2ζ0000000000000000000000000000002ζ−2ζ2ζ3−2ζ30000000000000000000000
χ882-22-2-22-22−2i2i2i−2i−2i2i2i−2i-22−2i2i2i−2i2-2−2ζ32ζ3−2ζ32ζ3−2ζ2ζ−2ζ2ζ0000−2i2i2i−2i-222-22ζ3−2ζ32ζ−2ζ000000000000000000000000000000−2ζ2ζ−2ζ32ζ30000000000000000000000
χ894444-4-4-4-444-4-444-4-444-4-444-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ904444-4-4-4-4-4-444-4-4444444-4-4-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9144-4-444-4-44444-4-4-4-400000000000000000000000000000000000022−22−222222−22−222200000000000000000000000000000000000000000000
χ9244-4-444-4-44444-4-4-4-4000000000000000000000000000000000000−222222−22−222222−2200000000000000000000000000000000000000000000
χ9344-4-444-4-4-4-4-4-444440000000000000000000000000000000000002i2−2i2−2i22i2−2i22i22i2−2i200000000000000000000000000000000000000000000
χ9444-4-444-4-4-4-4-4-44444000000000000000000000000000000000000−2i22i22i2−2i22i2−2i2−2i22i200000000000000000000000000000000000000000000
χ954-44-44-44-44i−4i4i−4i4i−4i4i−4i-44−4i4i−4i4i-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ964-44-44-44-4−4i4i−4i4i−4i4i−4i4i-444i−4i4i−4i-4400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ974-4-444-4-444i−4i4i−4i−4i4i−4i4i000000004ζ3−4ζ3−4ζ34ζ3−4ζ4ζ4ζ−4ζ000000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-444-4-444i−4i4i−4i−4i4i−4i4i00000000−4ζ34ζ34ζ3−4ζ34ζ−4ζ−4ζ4ζ000000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-444-4-44−4i4i−4i4i4i−4i4i−4i000000004ζ−4ζ−4ζ4ζ−4ζ34ζ34ζ3−4ζ3000000000000000000000000000000000000000000000000000000000000000000000000
χ1004-4-444-4-44−4i4i−4i4i4i−4i4i−4i00000000−4ζ4ζ4ζ−4ζ4ζ3−4ζ3−4ζ34ζ3000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-444-44i−4i−4i4i−4i4i4i−4i000000000000000000000000000000000000000000002i2−2i2−2i22i2−222222−22000000000000000000000000000000000000
χ1024-4-44-444-44i−4i−4i4i−4i4i4i−4i00000000000000000000000000000000000000000000−2i22i22i2−2i222−22−2222000000000000000000000000000000000000
χ1034-4-44-444-4−4i4i4i−4i4i−4i−4i4i000000000000000000000000000000000000000000002i2−2i2−2i22i222−22−2222000000000000000000000000000000000000
χ1044-4-44-444-4−4i4i4i−4i4i−4i−4i4i00000000000000000000000000000000000000000000−2i22i22i2−2i2−222222−22000000000000000000000000000000000000

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