Finite Group Databasebeta

← Group #10694390

Character table — Group #10694390

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12224444344444444666121212121212121212121212246688888888121212121212242424242424242424242424242424248888888824242424242424242424242424242424888888884444
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
χ91111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ101111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ111111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ121111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ131111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ141111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ151111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ161111-1-1-1-111111-1-1-1-11111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
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
χ19222222222-2-222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-222-2-222-2-2-2-222222222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ20222222222-2-222-2-222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-222-2-222-2-22222-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ21222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-222220000000022-2-2-2-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ22222222222-2-2-2-2-2-2-2-2222-2-2-2-22222-2-2-2-222220000000022-2-2-2-200000000000000000000000000000000000000000000−2i2i−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
χ2722222222-1-2-222-2-222-1-1-11111-1-1-1-11111-2-21122-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−3000000000000
χ2822222222-1-2-222-2-222-1-1-11111-1-1-1-11111-2-21122-2-222-2-211-1-1-1-1-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−333000000000000
χ2922222222-1-2-222-2-222-1-1-11111-1-1-1-11111-2-211-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ3022222222-1-2-222-2-222-1-1-11111-1-1-1-11111-2-211-2-222-2-22211-1-1-1-11111-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ312222-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2-2-22-22200000000-2-222-2-200000000000000000000000000000000000000002i−2i−2i2i00000000
χ322222-2-2-2-2222-2-2-2-2222222222-2-2-2-2-2-2-2-22-22200000000-2-222-2-20000000000000000000000000000000000000000−2i2i2i−2i00000000
χ332222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-222222-22222-2-2-2-222-2-2-2-2222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ342222-2-2-2-22-2-22222-2-2222-2-2-2-2-2-2-2-222222-222-2-22222-2-2-2-2-2-222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ352222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-2-2000000002222-2-2000000000000000000000000000000000000000000002-2-220000
χ362222-2-2-2-22-2-2-2-22222222-2-2-2-2-2-2-2-22222-22-2-2000000002222-2-200000000000000000000000000000000000000000000-222-20000
χ372222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-22112222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ382222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-22112222-2-2-2-2-1-111-1-1-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ392222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2211-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ402222-2-2-2-2-12222-2-2-2-2-1-1-1-1-1-1-111111111-2211-2-2-2-22222-1-111-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ412222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-12-2-1-122-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ422222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-12-2-1-122-2-2-2-2221111-1-1-1-1-1-111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ432222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-12-2-1-1-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ442222-2-2-2-2-1-2-22222-2-2-1-1-111111111-1-1-1-12-2-1-1-2-22222-2-21111-1-11111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ452-22-22i2i−2i−2i2002-2002i−2i2-2-200002i2i−2i−2i00000000002i−2i002-2002i−2i2-200002i2i−2i−2i000022-2-21+i−1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ462-22-22i2i−2i−2i2002-2002i−2i2-2-200002i2i−2i−2i00000000002i−2i002-2002i−2i2-200002i2i−2i−2i000022-2-2−1−i1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ472-22-22i2i−2i−2i2002-2002i−2i2-2-200002i2i−2i−2i0000000000−2i2i00-22002i−2i2-20000−2i−2i2i2i0000-2-2221+i−1−i1−i−1+i−1+i1−i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i000000000000
χ482-22-22i2i−2i−2i2002-2002i−2i2-2-200002i2i−2i−2i0000000000−2i2i00-22002i−2i2-20000−2i−2i2i2i0000-2-222−1−i1+i−1+i1−i1−i−1+i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i000000000000
χ492-22-22i2i−2i−2i-1002-2002i−2i-11133−3−3−i−iii−i3−i3i3i300−i3i3002i−2i002-23−3−ii-11−i3−i3i3i3−i−iii33−3−3-1-1111+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ502-22-22i2i−2i−2i-1002-2002i−2i-11133−3−3−i−iii−i3−i3i3i300−i3i3002i−2i002-23−3−ii-11−i3−i3i3i3−i−iii33−3−3-1-111−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ512-22-22i2i−2i−2i-1002-2002i−2i-11133−3−3−i−iii−i3−i3i3i300−i3i300−2i2i00-223−3−ii-11i3i3−i3−i3ii−i−i−3−33311-1-11+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14000000000000
χ522-22-22i2i−2i−2i-1002-2002i−2i-11133−3−3−i−iii−i3−i3i3i300−i3i300−2i2i00-223−3−ii-11i3i3−i3−i3ii−i−i−3−33311-1-1−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14000000000000
χ532-22-22i2i−2i−2i-1002-2002i−2i-111−3−333−i−iiii3i3−i3−i300i3−i3002i−2i002-2−33−ii-11i3i3−i3−i3−i−iii−3−333-1-1111+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ542-22-22i2i−2i−2i-1002-2002i−2i-111−3−333−i−iiii3i3−i3−i300i3−i3002i−2i002-2−33−ii-11i3i3−i3−i3−i−iii−3−333-1-111−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ552-22-22i2i−2i−2i-1002-2002i−2i-111−3−333−i−iiii3i3−i3−i300i3−i300−2i2i00-22−33−ii-11−i3−i3i3i3ii−i−i33−3−311-1-11+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22000000000000
χ562-22-22i2i−2i−2i-1002-2002i−2i-111−3−333−i−iiii3i3−i3−i300i3−i300−2i2i00-22−33−ii-11−i3−i3i3i3ii−i−i33−3−311-1-1−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22000000000000
χ572-22-2−2i−2i2i2i2002-200−2i2i2-2-20000−2i−2i2i2i00000000002i−2i00-2200−2i2i2-200002i2i−2i−2i0000-2-2221−i−1+i1+i−1−i−1−i1+i−1+i1−i1−i−1+i1−i−1+i1+i−1−i1+i−1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ582-22-2−2i−2i2i2i2002-200−2i2i2-2-20000−2i−2i2i2i00000000002i−2i00-2200−2i2i2-200002i2i−2i−2i0000-2-222−1+i1−i−1−i1+i1+i−1−i1−i−1+i−1+i1−i−1+i1−i−1−i1+i−1−i1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ592-22-2−2i−2i2i2i2002-200−2i2i2-2-20000−2i−2i2i2i0000000000−2i2i002-200−2i2i2-20000−2i−2i2i2i000022-2-21−i−1+i1+i−1−i1+i−1−i1−i−1+i1−i−1+i1−i−1+i1+i−1−i1+i−1−i1+i−1−i1+i−1−i1−i−1+i1−i−1+i000000000000
χ602-22-2−2i−2i2i2i2002-200−2i2i2-2-20000−2i−2i2i2i0000000000−2i2i002-200−2i2i2-20000−2i−2i2i2i000022-2-2−1+i1−i−1−i1+i−1−i1+i−1+i1−i−1+i1−i−1+i1−i−1−i1+i−1−i1+i−1−i1+i−1−i1+i−1+i1−i−1+i1−i000000000000
χ612-22-2−2i−2i2i2i-1002-200−2i2i-11133−3−3ii−i−ii3i3−i3−i300i3−i3002i−2i00-223−3i−i-11−i3−i3i3i3−i−iii−3−33311-1-11−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ622-22-2−2i−2i2i2i-1002-200−2i2i-11133−3−3ii−i−ii3i3−i3−i300i3−i3002i−2i00-223−3i−i-11−i3−i3i3i3−i−iii−3−33311-1-1−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ632-22-2−2i−2i2i2i-1002-200−2i2i-11133−3−3ii−i−ii3i3−i3−i300i3−i300−2i2i002-23−3i−i-11i3i3−i3−i3ii−i−i33−3−3-1-1111−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22000000000000
χ642-22-2−2i−2i2i2i-1002-200−2i2i-11133−3−3ii−i−ii3i3−i3−i300i3−i300−2i2i002-23−3i−i-11i3i3−i3−i3ii−i−i33−3−3-1-111−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22000000000000
χ652-22-2−2i−2i2i2i-1002-200−2i2i-111−3−333ii−i−i−i3−i3i3i300−i3i3002i−2i00-22−33i−i-11i3i3−i3−i3−i−iii33−3−311-1-11−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ662-22-2−2i−2i2i2i-1002-200−2i2i-111−3−333ii−i−i−i3−i3i3i300−i3i3002i−2i00-22−33i−i-11i3i3−i3−i3−i−iii33−3−311-1-1−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ672-22-2−2i−2i2i2i-1002-200−2i2i-111−3−333ii−i−i−i3−i3i3i300−i3i300−2i2i002-2−33i−i-11−i3−i3i3i3ii−i−i−3−333-1-1111−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ4−ζ14ζ4+ζ14−ζ20−ζ22ζ20+ζ22−ζ20+ζ22ζ20−ζ22−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ20+ζ22ζ20−ζ22−ζ20−ζ22ζ20+ζ22−ζ4−ζ14ζ4+ζ14000000000000
χ682-22-2−2i−2i2i2i-1002-200−2i2i-111−3−333ii−i−i−i3−i3i3i300−i3i300−2i2i002-2−33i−i-11−i3−i3i3i3ii−i−i−3−333-1-111−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ4+ζ14−ζ4−ζ14ζ20+ζ22−ζ20−ζ22ζ20−ζ22−ζ20+ζ22ζ4−ζ14−ζ4+ζ14ζ4−ζ14−ζ4+ζ14ζ20−ζ22−ζ20+ζ22ζ20+ζ22−ζ20−ζ22ζ4+ζ14−ζ4−ζ14000000000000
χ6944444444-244-4-444-4-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-422000000002222220000000000000000000000000000000000000000000000000000
χ7044444444-2-4-4-4-4-4-4-4-4-2-2-22222-2-2-2-2222244-2-200000000-2-222220000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-244-4-4-4-444-2-2-2-2-2-2-2222222224-4-2-20000000022-2-2220000000000000000000000000000000000000000000000000000
χ724444-4-4-4-4-2-4-4-4-44444-2-2-222222222-2-2-2-2-442200000000-2-2-2-2220000000000000000000000000000000000000000000000000000
χ7344-4-44-44-4400000000-44-400004-44-40000000022−220022−220000000022−2222−22000022−2222−220000000000000000000000000000000000000000
χ7444-4-44-44-4400000000-44-400004-44-400000000−222200−222200000000−2222−22220000−2222−22220000000000000000000000000000000000000000
χ7544-4-44-44-4-2000000002-2223−2323−23-22-2223−2323−23000022−220022−2200000000−22−226−66−6−22−226−66−6000000000000000000000000000000000000
χ7644-4-44-44-4-2000000002-2223−2323−23-22-2223−2323−230000−222200−2222000000002−22−2−66−662−22−2−66−66000000000000000000000000000000000000
χ7744-4-44-44-4-2000000002-22−2323−2323-22-22−2323−2323000022−220022−2200000000−22−22−66−66−22−22−66−66000000000000000000000000000000000000
χ7844-4-44-44-4-2000000002-22−2323−2323-22-22−2323−23230000−222200−2222000000002−22−26−66−62−22−26−66−6000000000000000000000000000000000000
χ7944-4-4-44-44400000000-44-40000-44-440000000022−2200−22220000000022−2222−220000−2222−22220000000000000000000000000000000000000000
χ8044-4-4-44-44400000000-44-40000-44-4400000000−22220022−2200000000−2222−2222000022−2222−220000000000000000000000000000000000000000
χ8144-4-4-44-44-2000000002-2223−2323−232-22-2−2323−2323000022−2200−222200000000−22−226−66−62−22−2−66−66000000000000000000000000000000000000
χ8244-4-4-44-44-2000000002-2223−2323−232-22-2−2323−23230000−22220022−22000000002−22−2−66−66−22−226−66−6000000000000000000000000000000000000
χ8344-4-4-44-44-2000000002-22−2323−23232-22-223−2323−23000022−2200−222200000000−22−22−66−662−22−26−66−6000000000000000000000000000000000000
χ8444-4-4-44-44-2000000002-22−2323−23232-22-223−2323−230000−22220022−22000000002−22−26−66−6−22−22−66−66000000000000000000000000000000000000
χ854-44-44i4i−4i−4i400-4400−4i4i4-4-400004i4i−4i−4i000000000000000000−4i4i-440000000000000000000000000000000000000000000000000000
χ864-44-44i4i−4i−4i-200-4400−4i4i-2222323−23−23−2i−2i2i2i−2i3−2i32i32i3002i3−2i300000000−23232i−2i2-20000000000000000000000000000000000000000000000000000
χ874-44-44i4i−4i−4i-200-4400−4i4i-222−23−232323−2i−2i2i2i2i32i3−2i3−2i300−2i32i30000000023−232i−2i2-20000000000000000000000000000000000000000000000000000
χ884-44-4−4i−4i4i4i400-44004i−4i4-4-40000−4i−4i4i4i0000000000000000004i−4i-440000000000000000000000000000000000000000000000000000
χ894-44-4−4i−4i4i4i-200-44004i−4i-2222323−23−232i2i−2i−2i2i32i3−2i3−2i300−2i32i300000000−2323−2i2i2-20000000000000000000000000000000000000000000000000000
χ904-44-4−4i−4i4i4i-200-44004i−4i-222−23−2323232i2i−2i−2i−2i3−2i32i32i3002i3−2i30000000023−23−2i2i2-20000000000000000000000000000000000000000000000000000
χ914-4-444i−4i−4i4i44-4004i−4i00-4-444-4-444i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ924-4-444i−4i−4i4i4-4400−4i4i00-4-44-444-44i−4i−4i4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ934-4-444i−4i−4i4i-24-4004i−4i0022-2-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000i6−i6−i6i6i6−i6−i6i6−666−66−6−66000000000000000000000000000000000000
χ944-4-444i−4i−4i4i-24-4004i−4i0022-2-222-2−2i2i2i−2i2i−2i−2i2i000000000000000000−i6i6i6−i6−i6i6i6−i66−6−66−666−6000000000000000000000000000000000000
χ954-4-444i−4i−4i4i-2-4400−4i4i0022-22-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000i6−i6−i6i6−i6i6i6−i6−666−6−666−6000000000000000000000000000000000000
χ964-4-444i−4i−4i4i-2-4400−4i4i0022-22-2-22−2i2i2i−2i−2i2i2i−2i000000000000000000−i6i6i6−i6i6−i6−i6i66−6−666−6−66000000000000000000000000000000000000
χ974-4-44−4i4i4i−4i44-400−4i4i00-4-444-4-44−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-44−4i4i4i−4i4-44004i−4i00-4-44-444-4−4i4i4i−4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ994-4-44−4i4i4i−4i-24-400−4i4i0022-2-222-22i−2i−2i2i−2i2i2i−2i000000000000000000i6−i6−i6i6i6−i6−i6i66−6−66−666−6000000000000000000000000000000000000
χ1004-4-44−4i4i4i−4i-24-400−4i4i0022-2-222-22i−2i−2i2i−2i2i2i−2i000000000000000000−i6i6i6−i6−i6i6i6−i6−666−66−6−66000000000000000000000000000000000000
χ1014-4-44−4i4i4i−4i-2-44004i−4i0022-22-2-222i−2i−2i2i2i−2i−2i2i000000000000000000i6−i6−i6i6−i6i6i6−i66−6−666−6−66000000000000000000000000000000000000
χ1024-4-44−4i4i4i−4i-2-44004i−4i0022-22-2-222i−2i−2i2i2i−2i−2i2i000000000000000000−i6i6i6−i6i6−i6−i6i6−666−6−666−6000000000000000000000000000000000000

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