Finite Group Databasebeta

← Group #10703038

Character table — Group #10703038

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order1222222222223444444446666666121212121212121244444444666612121212121212121212121212121212121212122244666688881212121224242424242424244444444444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ411111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ911-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−iii−i−iii−i−i11-1-111-1-1
χ1011-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i1-11-111-1-1ii−i−i11-1-1iiii−i−i−i−i−i−iii−i−iii-1-111-1-111
χ1111-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−iii-1-111−i−i−i−iiiiiii−i−i−i−iii-1-11111-1-1
χ1211-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1iiii−i−i−i−i11-1-111-1-1iiiiiiii−i−i−i−i−i−i−i−i-11-11-1-111−i−iii-1-111−i−i−i−iiiii−i−iiiii−i−i11-1-1-1-111
χ1311-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−iii11-1-1−i−i−i−iiiiiii−i−iii−i−i-1-111-1-111
χ1411-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii1-11-111-1-1−i−iii11-1-1−i−i−i−iiiii−i−iii−i−iii11-1-111-1-1
χ1511-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111ii−i−i-1-111iiii−i−i−i−iii−i−i−i−iii11-1-1-1-111
χ1611-11-1-11-111-1-11111-1-1-1-1111-1-1-1-111111-1-1-1-1−i−i−i−iiiii11-1-111-1-1−i−i−i−i−i−i−i−iiiiiiiii-11-11-1-111ii−i−i-1-111iiii−i−i−i−i−i−iiiii−i−i-1-11111-1-1
χ172222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2000000002222-2-2-2-2000000000000000000000000000000000000000000002-22-200000000
χ182222222222222-2-2-2-2-2-2-2-22222222-2-2-2-2-2-2-2-2000000002222-2-2-2-200000000000000000000000000000000000000000000-22-2200000000
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-21111111111110000000000000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-1-1-1-1-2-2-2-2-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2111122221111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-2-2-2-2222-22-2-22-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-2000000000000
χ2422222222-2-2-2-2222-22-2-22-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22000000000000
χ2522222222-2-2-2-22-2-22-222-222222222-2-2-2-2-2-2-2-200000000-2-2-2-22222000000000000000022-2-222220000-2-2-2-2000000000000000000000000
χ2622222222-2-2-2-22-2-22-222-222222222-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000-2-222-2-2-2-200002222000000000000000000000000
χ2722222222-2-2-2-2-1-2-22-222-22-1-1-1-1-1-1-111111111000000001111-1-1-1-13333−3−3−3−33333−3−3−3−322-2-2-1-1-1-10000111133−3−333−3−30000000000000000
χ2822222222-2-2-2-2-1-2-22-222-22-1-1-1-1-1-1-111111111000000001111-1-1-1-13333−3−3−3−33333−3−3−3−3-2-22211110000-1-1-1-1−3−333−3−3330000000000000000
χ2922222222-2-2-2-2-1-2-22-222-22-1-1-1-1-1-1-111111111000000001111-1-1-1-1−3−3−3−33333−3−3−3−3333322-2-2-1-1-1-100001111−3−333−3−3330000000000000000
χ3022222222-2-2-2-2-1-2-22-222-22-1-1-1-1-1-1-111111111000000001111-1-1-1-1−3−3−3−33333−3−3−3−33333-2-22211110000-1-1-1-133−3−333−3−30000000000000000
χ3122-22-2-22-222-2-22-2-2-22222-222-2-2-2-22-2-2-2-222220000000022-2-2-2-222000000000000000000000000000000000000000000002i−2i−2i2i00000000
χ3222-22-2-22-222-2-22-2-2-22222-222-2-2-2-22-2-2-2-222220000000022-2-2-2-22200000000000000000000000000000000000000000000−2i2i2i−2i00000000
χ3322-22-2-22-222-2-2-1222-2-2-2-22-1-11111-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii2-22-2-1-1112i2i−2i−2i-1-111−i−i−i−iiiii0000000000000000
χ3422-22-2-22-222-2-2-1222-2-2-2-22-1-11111-1-1-1-1-111112i2i2i2i−2i−2i−2i−2i-1-111-1-111−i−i−i−i−i−i−i−iiiiiiiii-22-2211-1-1−2i−2i2i2i11-1-1iiii−i−i−i−i0000000000000000
χ3522-22-2-22-222-2-2-1222-2-2-2-22-1-11111-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2i-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i2-22-2-1-111−2i−2i2i2i-1-111iiii−i−i−i−i0000000000000000
χ3622-22-2-22-222-2-2-1222-2-2-2-22-1-11111-1-1-1-1-11111−2i−2i−2i−2i2i2i2i2i-1-111-1-111iiiiiiii−i−i−i−i−i−i−i−i-22-2211-1-12i2i−2i−2i11-1-1−i−i−i−iiiii0000000000000000
χ3722-22-2-22-2-2-222222-2-222-2-222-2-2-2-222222-2-2-2-200000000-2-222-2-22200000000000000000000000000000000000000002i−2i−2i2i000000000000
χ3822-22-2-22-2-2-222222-2-222-2-222-2-2-2-222222-2-2-2-200000000-2-222-2-2220000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ3922-22-2-22-2-2-2222-2-222-2-22222-2-2-2-22-2-2-2-2222200000000-2-22222-2-200000000000000002-2-2222-2-20000-2-222000000000000000000000000
χ4022-22-2-22-2-2-2222-2-222-2-22222-2-2-2-22-2-2-2-2222200000000-2-22222-2-20000000000000000-222-2-2-222000022-2-2000000000000000000000000
χ4122-22-2-22-2-2-222-1-2-222-2-222-1-11111-11111-1-1-1-10000000011-1-1-1-111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i32-2-22-1-111000011-1-1−i3−i3i3i3i3i3−i3−i30000000000000000
χ4222-22-2-22-2-2-222-1-2-222-2-222-1-11111-11111-1-1-1-10000000011-1-1-1-111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3-222-211-1-10000-1-111i3i3−i3−i3−i3−i3i3i30000000000000000
χ4322-22-2-22-2-2-222-1-2-222-2-222-1-11111-11111-1-1-1-10000000011-1-1-1-111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i32-2-22-1-111000011-1-1i3i3−i3−i3−i3−i3i3i30000000000000000
χ4422-22-2-22-2-2-222-1-2-222-2-222-1-11111-11111-1-1-1-10000000011-1-1-1-111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3-222-211-1-10000-1-111−i3−i3i3i3i3i3−i3−i30000000000000000
χ452-222-2-2-222-22-222-22-22-22-2-2-222-2-2222-2-2-2-222000000002-22-22-22-20000000000000000000000000000000000000000000000002i−2i2i−2i0000
χ462-222-2-2-222-22-222-22-22-22-2-2-222-2-2222-2-2-2-222000000002-22-22-22-2000000000000000000000000000000000000000000000000−2i2i−2i2i0000
χ472-222-2-2-222-22-22-22-22-22-22-2-222-2-22-2-22222-2-22i2i−2i−2i2i2i−2i−2i2-22-2-22-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ482-222-2-2-222-22-22-22-22-22-22-2-222-2-22-2-22222-2-2−2i−2i2i2i−2i−2i2i2i2-22-2-22-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ492-222-2-2-222-22-2-1-22-22-22-2211-1-111-111-1-1-1-1112i2i−2i−2i2i2i−2i−2i-11-111-11-1−i−iii−i−iii−i−iii−i−iii0000−i3i3−i3i30000−i3i3−i3i33−33−33−33−30000000000000000
χ502-222-2-2-222-22-2-1-22-22-22-2211-1-111-111-1-1-1-1112i2i−2i−2i2i2i−2i−2i-11-111-11-1−i−iii−i−iii−i−iii−i−iii0000i3−i3i3−i30000i3−i3i3−i3−33−33−33−330000000000000000
χ512-222-2-2-222-22-2-1-22-22-22-2211-1-111-111-1-1-1-111−2i−2i2i2i−2i−2i2i2i-11-111-11-1ii−i−iii−i−iii−i−iii−i−i0000−i3i3−i3i30000−i3i3−i3i3−33−33−33−330000000000000000
χ522-222-2-2-222-22-2-1-22-22-22-2211-1-111-111-1-1-1-111−2i−2i2i2i−2i−2i2i2i-11-111-11-1ii−i−iii−i−iii−i−iii−i−i0000i3−i3i3−i30000i3−i3i3−i33−33−33−33−30000000000000000
χ532-222-2-2-22-22-2222-2-2-2-2222-2-222-2-2222-2-2-2-22200000000-22-22-22-220000000000000000000000002-22-200002-2-222-2-220000000000000000
χ542-222-2-2-22-22-2222-2-2-2-2222-2-222-2-2222-2-2-2-22200000000-22-22-22-22000000000000000000000000-22-220000-222-2-222-20000000000000000
χ552-222-2-2-22-22-222-22222-2-2-2-2-222-2-22-2-22222-2-200000000-22-222-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ562-222-2-2-22-22-222-22222-2-2-2-2-222-2-22-2-22222-2-200000000-22-222-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ572-222-2-2-22-22-22-12-2-2-2-222211-1-111-1-1-11111-1-1000000001-11-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000−i3i3−i3i32-22-2i3−i3i3−i3-111-1-111-10000000000000000
χ582-222-2-2-22-22-22-12-2-2-2-222211-1-111-1-1-11111-1-1000000001-11-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000i3−i3i3−i3-22-22−i3i3−i3i31-1-111-1-110000000000000000
χ592-222-2-2-22-22-22-12-2-2-2-222211-1-111-1-1-11111-1-1000000001-11-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−i3i3−i3i3-22-22i3−i3i3−i31-1-111-1-110000000000000000
χ602-222-2-2-22-22-22-12-2-2-2-222211-1-111-1-1-11111-1-1000000001-11-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000i3−i3i3−i32-22-2−i3i3−i3i3-111-1-111-10000000000000000
χ612-2-2222-2-22-2-2222-222-22-2-2-2-2-2-222222-2-222-2-2000000002-2-222-2-220000000000000000000000000000000000000000000000002i−2i−2i2i0000
χ622-2-2222-2-22-2-2222-222-22-2-2-2-2-2-222222-2-222-2-2000000002-2-222-2-22000000000000000000000000000000000000000000000000−2i2i2i−2i0000
χ632-2-2222-2-22-2-222-22-2-22-222-2-2-2-2222-2-222-2-22222-2-2-2-2222-2-22-222-222-2-222-2-2-2-222-2-2220000000000000000000000000000000000000000
χ642-2-2222-2-22-2-222-22-2-22-222-2-2-2-2222-2-222-2-222-2-22222-2-22-2-22-222-2-2-222-2-22222-2-222-2-20000000000000000000000000000000000000000
χ652-2-2222-2-22-2-22-1-22-2-22-2221111-1-1-111-1-111-1-122-2-2-2-222-111-11-1-11-1-111-1-11111-1-111-1-10000−i3i3i3−i30000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ662-2-2222-2-22-2-22-1-22-2-22-2221111-1-1-111-1-111-1-122-2-2-2-222-111-11-1-11-1-111-1-11111-1-111-1-10000i3−i3−i3i30000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ672-2-2222-2-22-2-22-1-22-2-22-2221111-1-1-111-1-111-1-1-2-22222-2-2-111-11-1-1111-1-111-1-1-1-111-1-1110000−i3i3i3−i30000−i3i3i3−i3i3−i3i3−i3−i3i3−i3i30000000000000000
χ682-2-2222-2-22-2-22-1-22-2-22-2221111-1-1-111-1-111-1-1-2-22222-2-2-111-11-1-1111-1-111-1-1-1-111-1-1110000i3−i3−i3i30000i3−i3−i3i3−i3i3−i3i3i3−i3i3−i30000000000000000
χ692-2-2222-2-2-222-222-2-222-2-22-2-2-2-222222-2-222-2-200000000-222-2-222-20000000000000000000000002i−2i−2i2i00002i−2i−2i2i−2i2i2i−2i0000000000000000
χ702-2-2222-2-2-222-222-2-222-2-22-2-2-2-222222-2-222-2-200000000-222-2-222-2000000000000000000000000−2i2i2i−2i0000−2i2i2i−2i2i−2i−2i2i0000000000000000
χ712-2-2222-2-2-222-22-222-2-222-2-2-2-2-2222-2-222-2-22200000000-222-22-2-2200000000000000000000000000000000000000000000000000002i−2i−2i2i
χ722-2-2222-2-2-222-22-222-2-222-2-2-2-2-2222-2-222-2-22200000000-222-22-2-220000000000000000000000000000000000000000000000000000−2i2i2i−2i
χ732-2-2222-2-2-222-2-12-2-222-2-221111-1-1-1-1-111-1-111000000001-1-111-1-1133−3−3−3−333−3−33333−3−30000−i3i3i3−i32i−2i−2i2ii3−i3−i3i3−iii−ii−i−ii0000000000000000
χ742-2-2222-2-2-222-2-12-2-222-2-221111-1-1-1-1-111-1-111000000001-1-111-1-1133−3−3−3−333−3−33333−3−30000i3−i3−i3i3−2i2i2i−2i−i3i3i3−i3i−i−ii−iii−i0000000000000000
χ752-2-2222-2-2-222-2-12-2-222-2-221111-1-1-1-1-111-1-111000000001-1-111-1-11−3−33333−3−333−3−3−3−3330000−i3i3i3−i3−2i2i2i−2ii3−i3−i3i3i−i−ii−iii−i0000000000000000
χ762-2-2222-2-2-222-2-12-2-222-2-221111-1-1-1-1-111-1-111000000001-1-111-1-11−3−33333−3−333−3−3−3−3330000i3−i3−i3i32i−2i−2i2i−i3i3i3−i3−iii−ii−i−ii0000000000000000
χ77444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222200000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ7844444444-4-4-4-4-244-44-4-44-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000000000000000000000000000
χ79444-44-4-4-400004000000004-44-44-4-4000000002-22-22-22-2000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000000000
χ80444-44-4-4-400004000000004-44-44-4-400000000-22-22-22-2200000000-22-22-22-22-22-22-22-220000000000000000000000000000000000000000
χ81444-44-4-4-40000-200000000-22-22-22223−2323−2323−2323−232-22-22-22-200000000−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000000000
χ82444-44-4-4-40000-200000000-22-22-22223−2323−2323−2323−23-22-22-22-22000000001−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000000000
χ83444-44-4-4-40000-200000000-22-22-222−2323−2323−2323−23232-22-22-22-200000000−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000000000
χ84444-44-4-4-40000-200000000-22-22-222−2323−2323−2323−2323-22-22-22-22000000001+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000000000
χ8544-44-4-44-444-4-4-2-4-4-44444-4-2-22222-22222-2-2-2-200000000-2-22222-2-200000000000000000000000000000000000000000000000000000000
χ8644-44-4-44-4-4-444-244-4-444-4-4-2-22222-2-2-2-2-222220000000022-2-222-2-200000000000000000000000000000000000000000000000000000000
χ8744-4-4-44-4400004000000004-4-44-44-4000000002i−2i2i−2i−2i2i−2i2i000000002i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000
χ8844-4-4-44-4400004000000004-4-44-44-400000000−2i2i−2i2i2i−2i2i−2i00000000−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000
χ8944-4-4-44-440000-200000000-222-22-2223−2323−23−2323−23232i−2i2i−2i−2i2i−2i2i00000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000000000000000000000
χ9044-4-4-44-440000-200000000-222-22-2223−2323−23−2323−2323−2i2i−2i2i2i−2i2i−2i00000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000000000000000000000
χ9144-4-4-44-440000-200000000-222-22-22−2323−232323−2323−232i−2i2i−2i−2i2i−2i2i00000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000000000000000000000
χ9244-4-4-44-440000-200000000-222-22-22−2323−232323−2323−23−2i2i−2i2i2i−2i2i−2i00000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000000000000000000000
χ934-444-4-4-444-44-4-24-44-44-44-422-2-222-2-2-22222-2-200000000-22-22-22-2200000000000000000000000000000000000000000000000000000000
χ944-444-4-4-44-44-44-2-44444-4-4-422-2-222-222-2-2-2-222000000002-22-2-22-2200000000000000000000000000000000000000000000000000000000
χ954-44-4-444-40000400000000-444-4-44-4000000002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ964-44-4-444-40000400000000-444-4-44-400000000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ974-44-4-444-40000-2000000002-2-222-2223−23−2323−232323−232i−2i−2i2i2i−2i−2i2i00000000−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ110000000000000000000000000000000000000000
χ984-44-4-444-40000-2000000002-2-222-2223−23−2323−232323−23−2i2i2i−2i−2i2i2i−2i00000000ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ110000000000000000000000000000000000000000
χ994-44-4-444-40000-2000000002-2-222-22−232323−2323−23−23232i−2i−2i2i2i−2i−2i2i00000000ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ110000000000000000000000000000000000000000
χ1004-44-4-444-40000-2000000002-2-222-22−232323−2323−23−2323−2i2i2i−2i−2i2i2i−2i00000000−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ11−ζ2−ζ7+ζ10−ζ11ζ2+ζ7−ζ10+ζ11ζ2+ζ7−ζ10+ζ11−ζ2−ζ7+ζ10−ζ11ζ2−ζ7−ζ10−ζ11−ζ2+ζ7+ζ10+ζ11−ζ2+ζ7+ζ10+ζ11ζ2−ζ7−ζ10−ζ110000000000000000000000000000000000000000
χ1014-4-4444-4-44-4-44-24-444-44-4-42222-2-2-2-2-222-2-22200000000-222-2-222-200000000000000000000000000000000000000000000000000000000
χ1024-4-4444-4-4-444-4-2-444-4-444-42222-2-2-222-2-222-2-2000000002-2-22-222-200000000000000000000000000000000000000000000000000000000
χ1034-4-4-44-4440000400000000-44-444-4-4000000002-2-22-222-2000000002-2-222-2-22-222-2-222-20000000000000000000000000000000000000000
χ1044-4-4-44-4440000400000000-44-444-4-400000000-222-22-2-2200000000-222-2-222-22-2-222-2-220000000000000000000000000000000000000000
χ1054-4-4-44-4440000-2000000002-22-2-22223−23−232323−23−23232-2-22-222-200000000−1−31+31+3−1−3−1+31−31−3−1+31+3−1−3−1−31+31−3−1+3−1+31−30000000000000000000000000000000000000000
χ1064-4-4-44-4440000-2000000002-22-2-22223−23−232323−23−2323-222-22-2-22000000001+3−1−3−1−31+31−3−1+3−1+31−3−1−31+31+3−1−3−1+31−31−3−1+30000000000000000000000000000000000000000
χ1074-4-4-44-4440000-2000000002-22-2-222−232323−23−232323−232-2-22-222-200000000−1+31−31−3−1+3−1−31+31+3−1−31−3−1+3−1+31−31+3−1−3−1−31+30000000000000000000000000000000000000000
χ1084-4-4-44-4440000-2000000002-22-2-222−232323−23−232323−23-222-22-2-22000000001−3−1+3−1+31−31+3−1−3−1−31+3−1+31−31−3−1+3−1−31+31+3−1−30000000000000000000000000000000000000000

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