Finite Group Databasebeta

← Group #10702204

Character table — Group #10702204

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222444422222234444446666666121212121212121244444444666612121212121212121212121212121212121212122244666688881212121224242424242424244444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111
χ91111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i11-1-1ii−i−iii−i−i11-1-1
χ101111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11-1-11111ii−i−i-1-1-1-1iiii−i−i−i−i-1-111−i−iii−i−iii-1-111
χ111111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii11-1-1−i−iiiii−i−i-1-111
χ121111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i-1-111-1-1-1-1−i−iii1111−i−i−i−iiiii-1-111ii−i−i−i−iii11-1-1
χ131111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii11-1-1−i−iii−i−iii11-1-1
χ141111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11-1-11111−i−iii-1-1-1-1−i−i−i−iiiii-1-111ii−i−iii−i−i-1-111
χ151111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i11-1-1ii−i−i−i−iii-1-111
χ161111-1-1-1-111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii-1-111-1-1-1-1ii−i−i1111iiii−i−i−i−i-1-111−i−iiiii−i−i11-1-1
χ1722222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ1822222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ1922222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ2022222222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ212222222222-2-2-2-22-2-2-222-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ222222222222-2-2-2-22-2-2-222-222222222222222200000000-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ2322222222-2-22-22-222-2-2-2-2222-2-2-2-2222-2-2-2-2220000000022-2-222-2-200000000000000000000000000000000000000002-22-2000000000000
χ2422222222-2-22-22-222-2-2-2-2222-2-2-2-2222-2-2-2-2220000000022-2-222-2-20000000000000000000000000000000000000000-22-22000000000000
χ2522222222-2-2-22-222-222-2-2-222-2-2-2-2222-2-2-2-22222-2-222-2-2-2-222-2-2222222-2-2-2-22222-2-2-2-20000000000000000000000000000000000000000
χ2622222222-2-2-22-222-222-2-2-222-2-2-2-2222-2-2-2-222-2-222-2-222-2-222-2-222-2-2-2-22222-2-2-2-222220000000000000000000000000000000000000000
χ2722222222-2-2-22-22-1-222-2-2-2-1-11111-1-1-11111-1-122-2-222-2-211-1-111-1-1-1-1-1-11111-1-1-1-111110000−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ2822222222-2-2-22-22-1-222-2-2-2-1-11111-1-1-11111-1-122-2-222-2-211-1-111-1-1-1-1-1-11111-1-1-1-111110000i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ2922222222-2-2-22-22-1-222-2-2-2-1-11111-1-1-11111-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i30000000000000000
χ3022222222-2-2-22-22-1-222-2-2-2-1-11111-1-1-11111-1-1-2-222-2-22211-1-111-1-11111-1-1-1-11111-1-1-1-10000i3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i30000000000000000
χ312222-2-2-2-22222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2000000002222-2-2-2-20000000000000000000000000000000000000000000000002-2-220000
χ322222-2-2-2-22222222-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000000000000000000-222-20000
χ332222-2-2-2-222-2-2-2-2-1222-2-22-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii22-2-2-1-1-1-12i2i−2i−2i1111−i−i−i−iiiii0000000000000000
χ342222-2-2-2-222-2-2-2-2-1222-2-22-1-1-1-1-1-1-1111111112i2i2i2i−2i−2i−2i−2i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii-2-2221111−2i−2i2i2i-1-1-1-1iiii−i−i−i−i0000000000000000
χ352222-2-2-2-222-2-2-2-2-1222-2-22-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i22-2-2-1-1-1-1−2i−2i2i2i1111iiii−i−i−i−i0000000000000000
χ362222-2-2-2-222-2-2-2-2-1222-2-22-1-1-1-1-1-1-111111111−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i-2-22211112i2i−2i−2i-1-1-1-1−i−i−i−iiiii0000000000000000
χ372222-2-2-2-2-2-22-22-22-22222-222-2-2-2-22-2-22222-2-22i2i−2i−2i−2i−2i2i2i22-2-2-2-2222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000000000000000
χ382222-2-2-2-2-2-22-22-22-22222-222-2-2-2-22-2-22222-2-2−2i−2i2i2i2i2i−2i−2i22-2-2-2-222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000000000000000
χ392222-2-2-2-2-2-22-22-2-1-22222-2-1-11111-111-1-1-1-1112i2i−2i−2i−2i−2i2i2i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i0000−i3−i3i3i30000i3i3−i3−i333−3−3−3−3330000000000000000
χ402222-2-2-2-2-2-22-22-2-1-22222-2-1-11111-111-1-1-1-1112i2i−2i−2i−2i−2i2i2i-1-11111-1-1−i−i−i−iiiiiiiii−i−i−i−i0000i3i3−i3−i30000−i3−i3i3i3−3−33333−3−30000000000000000
χ412222-2-2-2-2-2-22-22-2-1-22222-2-1-11111-111-1-1-1-111−2i−2i2i2i2i2i−2i−2i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii0000−i3−i3i3i30000i3i3−i3−i3−3−33333−3−30000000000000000
χ422222-2-2-2-2-2-22-22-2-1-22222-2-1-11111-111-1-1-1-111−2i−2i2i2i2i2i−2i−2i-1-11111-1-1iiii−i−i−i−i−i−i−i−iiiii0000i3i3−i3−i30000−i3−i3i3i333−3−3−3−3330000000000000000
χ432222-2-2-2-2-2-2-22-2222-2-222222-2-2-2-22-2-22222-2-200000000-2-22222-2-200000000000000000000000000000000000000002-2-22000000000000
χ442222-2-2-2-2-2-2-22-2222-2-222222-2-2-2-22-2-22222-2-200000000-2-22222-2-20000000000000000000000000000000000000000-222-2000000000000
χ4522-2-222-2-22-222-2-2222-22-2-2-2-222-2-222222-2-2-2-2000000002-22-22-22-200000000000000002-22-22-22-200002-22-2000000000000000000000000
χ4622-2-222-2-22-222-2-2222-22-2-2-2-222-2-222222-2-2-2-2000000002-22-22-22-20000000000000000-22-22-22-220000-22-22000000000000000000000000
χ4722-2-222-2-22-222-2-2-122-22-2-211-1-111-1-1-1-1-1111100000000-11-11-11-1133−3−333−3−333−3−333−3−32-22-2-11-110000-11-113−33−33−33−30000000000000000
χ4822-2-222-2-22-222-2-2-122-22-2-211-1-111-1-1-1-1-1111100000000-11-11-11-1133−3−333−3−333−3−333−3−3-22-221-11-100001-11-1−33−33−33−330000000000000000
χ4922-2-222-2-22-222-2-2-122-22-2-211-1-111-1-1-1-1-1111100000000-11-11-11-11−3−333−3−333−3−333−3−3332-22-2-11-110000-11-11−33−33−33−330000000000000000
χ5022-2-222-2-22-222-2-2-122-22-2-211-1-111-1-1-1-1-1111100000000-11-11-11-11−3−333−3−333−3−333−3−333-22-221-11-100001-11-13−33−33−33−30000000000000000
χ5122-2-222-2-22-2-2-2222-2-222-22-2-222-2-222222-2-2-2-200000000-22-22-22-22000000000000000000000000000000000000000000002-22-200000000
χ5222-2-222-2-22-2-2-2222-2-222-22-2-222-2-222222-2-2-2-200000000-22-22-22-2200000000000000000000000000000000000000000000-22-2200000000
χ5322-2-222-2-2-222-2-2222-22-22-2-2-2-2-222222-2-222-2-2000000002-2-222-2-2200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ5422-2-222-2-2-222-2-2222-22-22-2-2-2-2-222222-2-222-2-2000000002-2-222-2-220000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ5522-2-222-2-2-22-222-22-22-2-222-2-2-2-222222-2-222-2-200000000-222-2-222-20000000000000000000000002i−2i2i−2i00002i−2i−2i2i2i−2i−2i2i0000000000000000
χ5622-2-222-2-2-22-222-22-22-2-222-2-2-2-222222-2-222-2-200000000-222-2-222-2000000000000000000000000−2i2i−2i2i0000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ5722-2-222-2-2-22-222-2-1-22-2-2221111-1-1-1-1-111-1-111000000001-1-111-1-1133−3−3−3−33333−3−3−3−3330000−i3i3i3−i32i−2i2i−2i−i3i3i3−i3−iii−i−iii−i0000000000000000
χ5822-2-222-2-2-22-222-2-1-22-2-2221111-1-1-1-1-111-1-111000000001-1-111-1-1133−3−3−3−33333−3−3−3−3330000i3−i3−i3i3−2i2i−2i2ii3−i3−i3i3i−i−iii−i−ii0000000000000000
χ5922-2-222-2-2-22-222-2-1-22-2-2221111-1-1-1-1-111-1-111000000001-1-111-1-11−3−33333−3−3−3−33333−3−30000−i3i3i3−i3−2i2i−2i2i−i3i3i3−i3i−i−iii−i−ii0000000000000000
χ6022-2-222-2-2-22-222-2-1-22-2-2221111-1-1-1-1-111-1-111000000001-1-111-1-11−3−33333−3−3−3−33333−3−30000i3−i3−i3i32i−2i2i−2ii3−i3−i3i3−iii−i−iii−i0000000000000000
χ6122-2-2-2-2222-222-2-22-2-22-222-2-222-2-22-2-2-2-22222000000002-22-2-22-22000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ6222-2-2-2-2222-222-2-22-2-22-222-2-222-2-22-2-2-2-22222000000002-22-2-22-2200000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ6322-2-2-2-2222-2-2-222222-2-22-2-2-222-2-22-2-2-2-2222200000000-22-222-22-200000000000000002-2-222-22-20000-22-22000000000000000000000000
χ6422-2-2-2-2222-2-2-222222-2-22-2-2-222-2-22-2-2-2-2222200000000-22-222-22-20000000000000000-222-2-22-2200002-22-2000000000000000000000000
χ6522-2-2-2-2222-2-2-222-122-2-22-211-1-111-11111-1-1-1-1000000001-11-1-11-11−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i32-2-22-11-1100001-11-1−i3i3−i3i3i3−i3i3−i30000000000000000
χ6622-2-2-2-2222-2-2-222-122-2-22-211-1-111-11111-1-1-1-1000000001-11-1-11-11−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3-222-21-11-10000-11-11i3−i3i3−i3−i3i3−i3i30000000000000000
χ6722-2-2-2-2222-2-2-222-122-2-22-211-1-111-11111-1-1-1-1000000001-11-1-11-11i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i32-2-22-11-1100001-11-1i3−i3i3−i3−i3i3−i3i30000000000000000
χ6822-2-2-2-2222-2-2-222-122-2-22-211-1-111-11111-1-1-1-1000000001-11-1-11-11i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3-222-21-11-10000-11-11−i3i3−i3i3i3−i3i3−i30000000000000000
χ6922-2-2-2-222-222-2-222-22-22-22-2-2-2-2222-2-222-2-222000000002-2-22-222-20000000000000000000000002-2-2200002-2-22-222-20000000000000000
χ7022-2-2-2-222-222-2-222-22-22-22-2-2-2-2222-2-222-2-222000000002-2-22-222-2000000000000000000000000-222-20000-222-22-2-220000000000000000
χ7122-2-2-2-222-222-2-22-1-22-22-221111-1-1-111-1-111-1-100000000-111-11-1-11−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000−i3i3i3−i32-2-22i3−i3−i3i3-111-11-1-110000000000000000
χ7222-2-2-2-222-222-2-22-1-22-22-221111-1-1-111-1-111-1-100000000-111-11-1-11−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000i3−i3−i3i3-222-2−i3i3i3−i31-1-11-111-10000000000000000
χ7322-2-2-2-222-222-2-22-1-22-22-221111-1-1-111-1-111-1-100000000-111-11-1-11i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000−i3i3i3−i3-222-2i3−i3−i3i31-1-11-111-10000000000000000
χ7422-2-2-2-222-222-2-22-1-22-22-221111-1-1-111-1-111-1-100000000-111-11-1-11i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000i3−i3−i3i32-2-22−i3i3i3−i3-111-11-1-110000000000000000
χ7522-2-2-2-222-22-222-222-222-2-2-2-2-2-2222-2-222-2-22200000000-222-22-2-2200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ7622-2-2-2-222-22-222-222-222-2-2-2-2-2-2222-2-222-2-22200000000-222-22-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ774444444444-4-4-4-4-2-4-4-444-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000000000000000000000000000
χ7844444444-4-44-44-4-24-4-4-4-44-2-22222-2-2-22222-2-200000000-2-222-2-22200000000000000000000000000000000000000000000000000000000
χ794444-4-4-4-4444444-2-4-4-4-4-4-4-2-2-2-2-2-2-22222222200000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ804444-4-4-4-4-4-4-44-44-24-4-4444-2-22222-222-2-2-2-2220000000022-2-2-2-22200000000000000000000000000000000000000000000000000000000
χ8144-4-444-4-44-4-4-444-2-4-444-4422-2-222-2-2-2-2-22222000000002-22-22-22-200000000000000000000000000000000000000000000000000000000
χ8244-4-444-4-4-444-4-44-24-44-44-42222-2-2-2-2-222-2-22200000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ8344-4-4-4-4444-444-4-4-2-4-44-44422-2-222-22222-2-2-2-200000000-22-222-22-200000000000000000000000000000000000000000000000000000000
χ8444-4-4-4-444-44-444-4-24-444-4-42222-2-2-222-2-222-2-2000000002-2-22-222-200000000000000000000000000000000000000000000000000000000
χ854-44-44i−4i4i−4i00000040000004-40000-44i−4i00004i−4i002+2i−2−2i002−2i−2+2i0000000000002+2i−2−2i2+2i−2−2i00002−2i−2+2i2−2i−2+2i0000000000000000000000000000000000000000
χ864-44-44i−4i4i−4i00000040000004-40000-44i−4i00004i−4i00−2−2i2+2i00−2+2i2−2i000000000000−2−2i2+2i−2−2i2+2i0000−2+2i2−2i−2+2i2−2i0000000000000000000000000000000000000000
χ874-44-44i−4i4i−4i000000-2000000-22−2i32i3−2i32i32−2i2i23−2323−23−2i2i002+2i−2−2i002−2i−2+2i00000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−1−i1+i−1−i1+i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−1+i1−i−1+i1−i0000000000000000000000000000000000000000
χ884-44-44i−4i4i−4i000000-2000000-22−2i32i3−2i32i32−2i2i23−2323−23−2i2i00−2−2i2+2i00−2+2i2−2i00000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111+i−1−i1+i−1−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111−i−1+i1−i−1+i0000000000000000000000000000000000000000
χ894-44-44i−4i4i−4i000000-2000000-222i3−2i32i3−2i32−2i2i−2323−2323−2i2i002+2i−2−2i002−2i−2+2i00000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−1−i1+i−1−i1+iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−1+i1−i−1+i1−i0000000000000000000000000000000000000000
χ904-44-44i−4i4i−4i000000-2000000-222i3−2i32i3−2i32−2i2i−2323−2323−2i2i00−2−2i2+2i00−2+2i2−2i00000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111+i−1−i1+i−1−i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111−i−1+i1−i−1+i0000000000000000000000000000000000000000
χ914-44-4−4i4i−4i4i00000040000004-40000-4−4i4i0000−4i4i002−2i−2+2i002+2i−2−2i0000000000002−2i−2+2i2−2i−2+2i00002+2i−2−2i2+2i−2−2i0000000000000000000000000000000000000000
χ924-44-4−4i4i−4i4i00000040000004-40000-4−4i4i0000−4i4i00−2+2i2−2i00−2−2i2+2i000000000000−2+2i2−2i−2+2i2−2i0000−2−2i2+2i−2−2i2+2i0000000000000000000000000000000000000000
χ934-44-4−4i4i−4i4i000000-2000000-22−2i32i3−2i32i322i−2i−2323−23232i−2i002−2i−2+2i002+2i−2−2i00000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−1+i1−i−1+i1−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−1−i1+i−1−i1+i0000000000000000000000000000000000000000
χ944-44-4−4i4i−4i4i000000-2000000-22−2i32i3−2i32i322i−2i−2323−23232i−2i00−2+2i2−2i00−2−2i2+2i00000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111−i−1+i1−i−1+iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111+i−1−i1+i−1−i0000000000000000000000000000000000000000
χ954-44-4−4i4i−4i4i000000-2000000-222i3−2i32i3−2i322i−2i23−2323−232i−2i002−2i−2+2i002+2i−2−2i00000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−1+i1−i−1+i1−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−1−i1+i−1−i1+i0000000000000000000000000000000000000000
χ964-44-4−4i4i−4i4i000000-2000000-222i3−2i32i3−2i322i−2i23−2323−232i−2i00−2+2i2−2i00−2−2i2+2i00000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111−i−1+i1−i−1+i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111+i−1−i1+i−1−i0000000000000000000000000000000000000000
χ974-4-444i−4i−4i4i0000004000000-440000-44i−4i0000−4i4i2−2i−2+2i002+2i−2−2i00000000002−2i−2+2i−2+2i2−2i0000−2−2i2+2i2+2i−2−2i00000000000000000000000000000000000000000000
χ984-4-444i−4i−4i4i0000004000000-440000-44i−4i0000−4i4i−2+2i2−2i00−2−2i2+2i0000000000−2+2i2−2i2−2i−2+2i00002+2i−2−2i−2−2i2+2i00000000000000000000000000000000000000000000
χ994-4-444i−4i−4i4i000000-20000002-2−2i32i32i3−2i32−2i2i23−23−23232i−2i2−2i−2+2i002+2i−2−2i0000000000−1+i1−i1−i−1+i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111+i−1−i−1−i1+iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000000000000000000000000000000
χ1004-4-444i−4i−4i4i000000-20000002-2−2i32i32i3−2i32−2i2i23−23−23232i−2i−2+2i2−2i00−2−2i2+2i00000000001−i−1+i−1+i1−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−1−i1+i1+i−1−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000000000000000000000000000000
χ1014-4-444i−4i−4i4i000000-20000002-22i3−2i3−2i32i32−2i2i−232323−232i−2i2−2i−2+2i002+2i−2−2i0000000000−1+i1−i1−i−1+iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111+i−1−i−1−i1+i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ110000000000000000000000000000000000000000
χ1024-4-444i−4i−4i4i000000-20000002-22i3−2i3−2i32i32−2i2i−232323−232i−2i−2+2i2−2i00−2−2i2+2i00000000001−i−1+i−1+i1−i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−1−i1+i1+i−1−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ110000000000000000000000000000000000000000
χ1034-4-44−4i4i4i−4i0000004000000-440000-4−4i4i00004i−4i2+2i−2−2i002−2i−2+2i00000000002+2i−2−2i−2−2i2+2i0000−2+2i2−2i2−2i−2+2i00000000000000000000000000000000000000000000
χ1044-4-44−4i4i4i−4i0000004000000-440000-4−4i4i00004i−4i−2−2i2+2i00−2+2i2−2i0000000000−2−2i2+2i2+2i−2−2i00002−2i−2+2i−2+2i2−2i00000000000000000000000000000000000000000000
χ1054-4-44−4i4i4i−4i000000-20000002-2−2i32i32i3−2i322i−2i−232323−23−2i2i2+2i−2−2i002−2i−2+2i0000000000−1−i1+i1+i−1−i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111−i−1+i−1+i1−iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000000000000000000000000000000
χ1064-4-44−4i4i4i−4i000000-20000002-2−2i32i32i3−2i322i−2i−232323−23−2i2i−2−2i2+2i00−2+2i2−2i00000000001+i−1−i−1−i1+iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−1+i1−i1−i−1+i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000000000000000000000000000000
χ1074-4-44−4i4i4i−4i000000-20000002-22i3−2i3−2i32i322i−2i23−23−2323−2i2i2+2i−2−2i002−2i−2+2i0000000000−1−i1+i1+i−1−iζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111−i−1+i−1+i1−i−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ110000000000000000000000000000000000000000
χ1084-4-44−4i4i4i−4i000000-20000002-22i3−2i3−2i32i322i−2i23−23−2323−2i2i−2−2i2+2i00−2+2i2−2i00000000001+i−1−i−1−i1+i−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11−1+i1−i1−i−1+iζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ110000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.