Finite Group Databasebeta

← Group #10777920

Character table — Group #10777920

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12224444344444444666121212121212121212121212246688888888121212121212242424242424242424242424242424248888888824242424242424242424242424242424244488882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ91111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-111-1-11-11-1
χ101111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-11-11
χ111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-11-11
χ121111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111-11-1
χ131111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111-1-11
χ141111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-11111-1-1-111-1
χ151111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1-1-111-111-1
χ161111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-11111-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-11-1-11
χ1722222222222-2-222-2-2222222222222222-2-2-2-200000000-2-2-2-2-2-200000000000000000000000000000000000000002-22-200000000
χ1822222222222-2-222-2-2222222222222222-2-2-2-200000000-2-2-2-2-2-20000000000000000000000000000000000000000-22-2200000000
χ19222222222-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222220000000022-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ22222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-222220000000022-2-2-2-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2522222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2622222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2722222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-21122-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−3000000000000
χ2822222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-21122-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−333000000000000
χ2922222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-211-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ3022222222-1-2-222-2-222-1-1-1-1-1-1-111111111-2-211-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ312222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-22-2-2000000002222-2-2000000000000000000000000000000000000000000002i−2i−2i2i0000
χ322222-2-2-2-222222-2-2-2-2222-2-2-2-22222-2-2-2-2-22-2-2000000002222-2-200000000000000000000000000000000000000000000−2i2i2i−2i0000
χ332222-2-2-2-2222-2-2-2-222222-2-2-2-22222-2-2-2-22-22222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ342222-2-2-2-2222-2-2-2-222222-2-2-2-22222-2-2-2-22-222-2-22222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ352222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-222222-22200000000-2-222-2-200000000000000000000000000000000000000002-2-2200000000
χ362222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-222222-22200000000-2-222-2-20000000000000000000000000000000000000000-222-200000000
χ372222-2-2-2-2-122-2-2-2-222-1-1-11111-1-1-1-111112-2-1-122-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000
χ382222-2-2-2-2-122-2-2-2-222-1-1-11111-1-1-1-111112-2-1-122-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000
χ392222-2-2-2-2-122-2-2-2-222-1-1-11111-1-1-1-111112-2-1-1-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−3000000000000
χ402222-2-2-2-2-122-2-2-2-222-1-1-11111-1-1-1-111112-2-1-1-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000
χ412222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-22112222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-11111111122-2-222-2-2-1-1-1-11111-1-1-1-11111000000000000
χ422222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-22112222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-111111111-2-222-2-2221111-1-1-1-11111-1-1-1-1000000000000
χ432222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2211-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-122-2-2-2-222-1-1-1-111111111-1-1-1-1000000000000
χ442222-2-2-2-2-1-2-2-2-22222-1-1-111111111-1-1-1-1-2211-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-1-2-22222-2-21111-1-1-1-1-1-1-1-11111000000000000
χ4522-2-22i2i−2i−2i2002i−2i002-22-2-22i2i−2i−2i000000000000002i−2i002-2002i−2i2-200002i2i−2i−2i000022-2-22−2−i2i2−i2i22−22−22−2−i2i2−i2i2−i2i2−i2i22−22−2000000000000
χ4622-2-22i2i−2i−2i2002i−2i002-22-2-22i2i−2i−2i000000000000002i−2i002-2002i−2i2-200002i2i−2i−2i000022-2-2−22i2−i2i2−i2−22−22−22i2−i2i2−i2i2−i2i2−i2−22−22000000000000
χ4722-2-22i2i−2i−2i2002i−2i002-22-2-22i2i−2i−2i00000000000000−2i2i00-22002i−2i2-20000−2i−2i2i2i0000-2-2222−2−i2i2i2−i2−222−22−2−i2i2−i2i2i2−i2i2−i2−22−22000000000000
χ4822-2-22i2i−2i−2i2002i−2i002-22-2-22i2i−2i−2i00000000000000−2i2i00-22002i−2i2-20000−2i−2i2i2i0000-2-222−22i2−i2−i2i22−2−22−22i2−i2i2−i2−i2i2−i2i22−22−2000000000000
χ4922-2-22i2i−2i−2i-1002i−2i002-2-111−i−iii−i3−i3i3i333−3−300−i3i3002i−2i002-23−3−ii-11−i3−i3i3i3−i−iii33−3−3-1-1112−2−i2i2−i2i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5022-2-22i2i−2i−2i-1002i−2i002-2-111−i−iii−i3−i3i3i333−3−300−i3i3002i−2i002-23−3−ii-11−i3−i3i3i3−i−iii33−3−3-1-111−22i2−i2i2−i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ5122-2-22i2i−2i−2i-1002i−2i002-2-111−i−iii−i3−i3i3i333−3−300−i3i300−2i2i00-223−3−ii-11i3i3−i3−i3ii−i−i−3−33311-1-12−2−i2i2i2−i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ5222-2-22i2i−2i−2i-1002i−2i002-2-111−i−iii−i3−i3i3i333−3−300−i3i300−2i2i00-223−3−ii-11i3i3−i3−i3ii−i−i−3−33311-1-1−22i2−i2−i2i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ5322-2-22i2i−2i−2i-1002i−2i002-2-111−i−iiii3i3−i3−i3−3−33300i3−i3002i−2i002-2−33−ii-11i3i3−i3−i3−i−iii−3−333-1-1112−2−i2i2−i2i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5422-2-22i2i−2i−2i-1002i−2i002-2-111−i−iiii3i3−i3−i3−3−33300i3−i3002i−2i002-2−33−ii-11i3i3−i3−i3−i−iii−3−333-1-111−22i2−i2i2−i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5522-2-22i2i−2i−2i-1002i−2i002-2-111−i−iiii3i3−i3−i3−3−33300i3−i300−2i2i00-22−33−ii-11−i3−i3i3i3ii−i−i33−3−311-1-12−2−i2i2i2−i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ5622-2-22i2i−2i−2i-1002i−2i002-2-111−i−iiii3i3−i3−i3−3−33300i3−i300−2i2i00-22−33−ii-11−i3−i3i3i3ii−i−i33−3−311-1-1−22i2−i2−i2i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ5722-2-2−2i−2i2i2i200−2i2i002-22-2-2−2i−2i2i2i000000000000002i−2i00-2200−2i2i2-200002i2i−2i−2i0000-2-2222−2i2−i2−i2i2−222−22−2i2−i2i2−i2−i2i2−i2i2−22−22000000000000
χ5822-2-2−2i−2i2i2i200−2i2i002-22-2-2−2i−2i2i2i000000000000002i−2i00-2200−2i2i2-200002i2i−2i−2i0000-2-222−22−i2i2i2−i22−2−22−22−i2i2−i2i2i2−i2i2−i22−22−2000000000000
χ5922-2-2−2i−2i2i2i200−2i2i002-22-2-2−2i−2i2i2i00000000000000−2i2i002-200−2i2i2-20000−2i−2i2i2i000022-2-22−2i2−i2i2−i22−22−22−2i2−i2i2−i2i2−i2i2−i22−22−2000000000000
χ6022-2-2−2i−2i2i2i200−2i2i002-22-2-2−2i−2i2i2i00000000000000−2i2i002-200−2i2i2-20000−2i−2i2i2i000022-2-2−22−i2i2−i2i2−22−22−22−i2i2−i2i2−i2i2−i2i2−22−22000000000000
χ6122-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−i−i3−i3i3i3−3−33300−i3i3002i−2i00-22−33i−i-11i3i3−i3−i3−i−iii33−3−311-1-12−2i2−i2−i2i2−22ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ6222-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−i−i3−i3i3i3−3−33300−i3i3002i−2i00-22−33i−i-11i3i3−i3−i3−i−iii33−3−311-1-1−22−i2i2i2−i22−2−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ6322-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−i−i3−i3i3i3−3−33300−i3i300−2i2i002-2−33i−i-11−i3−i3i3i3ii−i−i−3−333-1-1112−2i2−i2i2−i22−2ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23000000000000
χ6422-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−i−i3−i3i3i3−3−33300−i3i300−2i2i002-2−33i−i-11−i3−i3i3i3ii−i−i−3−333-1-111−22−i2i2−i2i2−22−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23000000000000
χ6522-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−ii3i3−i3−i333−3−300i3−i3002i−2i00-223−3i−i-11−i3−i3i3i3−i−iii−3−33311-1-12−2i2−i2−i2i2−22ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ6622-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−ii3i3−i3−i333−3−300i3−i3002i−2i00-223−3i−i-11−i3−i3i3i3−i−iii−3−33311-1-1−22−i2i2i2−i22−2−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ6722-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−ii3i3−i3−i333−3−300i3−i300−2i2i002-23−3i−i-11i3i3−i3−i3ii−i−i33−3−3-1-1112−2i2−i2i2−i22−2ζ5−ζ7−ζ5+ζ7ζ13−ζ23−ζ13+ζ23−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ13−ζ23−ζ13+ζ23ζ5−ζ7−ζ5+ζ7000000000000
χ6822-2-2−2i−2i2i2i-100−2i2i002-2-111ii−i−ii3i3−i3−i333−3−300i3−i300−2i2i002-23−3i−i-11i3i3−i3−i3ii−i−i33−3−3-1-111−22−i2i2−i2i2−22−ζ5+ζ7ζ5−ζ7−ζ13+ζ23ζ13−ζ23ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ13+ζ23ζ13−ζ23−ζ5+ζ7ζ5−ζ7000000000000
χ6944444444-244-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-422000000002222220000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222244-2-200000000-2-222220000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-24444-4-4-4-4-2-2-22222-2-2-2-22222-442200000000-2-2-2-2220000000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-44444-4-4-2-2-222222222-2-2-2-24-4-2-20000000022-2-2220000000000000000000000000000000000000000000000000000
χ7344-4-44i4i−4i−4i400−4i4i00-444-4-44i4i−4i−4i0000000000000000000000−4i4i-440000000000000000000000000000000000000000000000000000
χ7444-4-44i4i−4i−4i-200−4i4i00-44-222−2i−2i2i2i−2i3−2i32i32i32323−23−23002i3−2i300000000−23232i−2i2-20000000000000000000000000000000000000000000000000000
χ7544-4-44i4i−4i−4i-200−4i4i00-44-222−2i−2i2i2i2i32i3−2i3−2i3−23−23232300−2i32i30000000023−232i−2i2-20000000000000000000000000000000000000000000000000000
χ7644-4-4−4i−4i4i4i4004i−4i00-444-4-4−4i−4i4i4i00000000000000000000004i−4i-440000000000000000000000000000000000000000000000000000
χ7744-4-4−4i−4i4i4i-2004i−4i00-44-2222i2i−2i−2i−2i3−2i32i32i3−23−232323002i3−2i30000000023−23−2i2i2-20000000000000000000000000000000000000000000000000000
χ7844-4-4−4i−4i4i4i-2004i−4i00-44-2222i2i−2i−2i2i32i3−2i3−2i32323−23−2300−2i32i300000000−2323−2i2i2-20000000000000000000000000000000000000000000000000000
χ794-44-44-44-4400000000-44-44-44-4000000000000−2i22i200−2i22i200000000−2i22i2−2i22i20000−2i22i2−2i22i20000000000000000000000000000000000000000
χ804-44-44-44-4400000000-44-44-44-40000000000002i2−2i2002i2−2i2000000002i2−2i22i2−2i200002i2−2i22i2−2i20000000000000000000000000000000000000000
χ814-44-44-44-4-2000000002-22-22-2223−2323−2323−2323−230000−2i22i200−2i22i200000000i2−i2i2−i2i6−i6i6−i6i2−i2i2−i2i6−i6i6−i6000000000000000000000000000000000000
χ824-44-44-44-4-2000000002-22-22-2223−2323−2323−2323−2300002i2−2i2002i2−2i200000000−i2i2−i2i2−i6i6−i6i6−i2i2−i2i2−i6i6−i6i6000000000000000000000000000000000000
χ834-44-44-44-4-2000000002-22-22-22−2323−2323−2323−23230000−2i22i200−2i22i200000000i2−i2i2−i2−i6i6−i6i6i2−i2i2−i2−i6i6−i6i6000000000000000000000000000000000000
χ844-44-44-44-4-2000000002-22-22-22−2323−2323−2323−232300002i2−2i2002i2−2i200000000−i2i2−i2i2i6−i6i6−i6−i2i2−i2i2i6−i6i6−i6000000000000000000000000000000000000
χ854-44-4-44-44400000000-44-4-44-44000000000000−2i22i2002i2−2i200000000−2i22i2−2i22i200002i2−2i22i2−2i20000000000000000000000000000000000000000
χ864-44-4-44-44400000000-44-4-44-440000000000002i2−2i200−2i22i2000000002i2−2i22i2−2i20000−2i22i2−2i22i20000000000000000000000000000000000000000
χ874-44-4-44-44-2000000002-222-22-223−2323−23−2323−23230000−2i22i2002i2−2i200000000i2−i2i2−i2−i6i6−i6i6−i2i2−i2i2i6−i6i6−i6000000000000000000000000000000000000
χ884-44-4-44-44-2000000002-222-22-223−2323−23−2323−232300002i2−2i200−2i22i200000000−i2i2−i2i2i6−i6i6−i6i2−i2i2−i2−i6i6−i6i6000000000000000000000000000000000000
χ894-44-4-44-44-2000000002-222-22-2−2323−232323−2323−230000−2i22i2002i2−2i200000000i2−i2i2−i2i6−i6i6−i6−i2i2−i2i2−i6i6−i6i6000000000000000000000000000000000000
χ904-44-4-44-44-2000000002-222-22-2−2323−232323−2323−2300002i2−2i200−2i22i200000000−i2i2−i2i2−i6i6−i6i6i2−i2i2−i2i6−i6i6−i6000000000000000000000000000000000000
χ914-4-444i−4i−4i4i44i−4i004-400-4-444i−4i−4i4i4i−4i−4i4i-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444i−4i−4i4i4−4i4i00-4400-4-444i−4i−4i4i−4i4i4i−4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444i−4i−4i4i-24i−4i004-40022-2−2i2i2i−2i−2i2i2i−2i2-2-220000000000000000006−6−666−6−66i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000
χ944-4-444i−4i−4i4i-24i−4i004-40022-2−2i2i2i−2i−2i2i2i−2i2-2-22000000000000000000−666−6−666−6−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ954-4-444i−4i−4i4i-2−4i4i00-440022-2−2i2i2i−2i2i−2i−2i2i-222-20000000000000000006−6−66−666−6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ964-4-444i−4i−4i4i-2−4i4i00-440022-2−2i2i2i−2i2i−2i−2i2i-222-2000000000000000000−666−66−6−66−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ974-4-44−4i4i4i−4i44i−4i00-4400-4-44−4i4i4i−4i4i−4i−4i4i4-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44−4i4i4i−4i4−4i4i004-400-4-44−4i4i4i−4i−4i4i4i−4i-444-40000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44−4i4i4i−4i-24i−4i00-440022-22i−2i−2i2i−2i2i2i−2i-222-20000000000000000006−6−66−666−6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000000000000
χ1004-4-44−4i4i4i−4i-24i−4i00-440022-22i−2i−2i2i−2i2i2i−2i-222-2000000000000000000−666−66−6−66i6−i6−i6i6i6−i6−i6i6000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i-2−4i4i004-40022-22i−2i−2i2i2i−2i−2i2i2-2-220000000000000000006−6−666−6−66−i6i6i6−i6i6−i6−i6i6000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i-2−4i4i004-40022-22i−2i−2i2i2i−2i−2i2i2-2-22000000000000000000−666−6−666−6i6−i6−i6i6−i6i6i6−i6000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.