Finite Group Databasebeta

← Group #10702170

Character table — Group #10702170

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1111111122222222222222222222222222224444444444444444444444444444444488888888888888888888888824242424242424242424242424242424
order12222222222234444444466666661212121212121212444444446666121212121212121212121212121212121212121244448888121212121212121224242424242424244444444444448888
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
χ5111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ6111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ7111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1
χ8111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111
χ911-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−i11-1-111-1-1ii−i−i
χ1011-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii-1-111-1-111−i−iii
χ1111-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−i-1-111-1-111ii−i−i
χ1211-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-11111-1-1-1-11-1-1111-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii11-1-111-1-1−i−iii
χ1311-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i11-1-1-1-111−i−iii
χ1411-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iii-1-11111-1-1ii−i−i
χ1511-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i-1-11111-1-1−i−iii
χ1611-1-1-1-1111-1-1111111-1-1-1-111-1-11-1-11111-1-1-1-1-1-1-1-111111-1-1111-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iii11-1-1-1-111ii−i−i
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
χ19222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ20222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111110000000000000000
χ21222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ22222222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-10000000000000000
χ2322222222-2-2-2-2222-2-22-22-222222222222222200000000-2-2-2-2-2-2-2-200000000000000000000000000000000000000002-22-2000000000000
χ2422222222-2-2-2-2222-2-22-22-222222222222222200000000-2-2-2-2-2-2-2-20000000000000000000000000000000000000000-22-22000000000000
χ2522222222-2-2-2-22-2-222-22-222222222-2-2-2-2-2-2-2-200000000-2-2-2-2222200000000000000002-22-2000022-2-222-2-2000000000000000000000000
χ2622222222-2-2-2-22-2-222-22-222222222-2-2-2-2-2-2-2-200000000-2-2-2-222220000000000000000-22-220000-2-222-2-222000000000000000000000000
χ2722222222-2-2-2-2-1-2-222-22-22-1-1-1-1-1-1-111111111000000001111-1-1-1-13333−3−3−3−33333−3−3−3−32-22-20000-1-111-1-11133−3−333−3−30000000000000000
χ2822222222-2-2-2-2-1-2-222-22-22-1-1-1-1-1-1-111111111000000001111-1-1-1-13333−3−3−3−33333−3−3−3−3-22-22000011-1-111-1-1−3−333−3−3330000000000000000
χ2922222222-2-2-2-2-1-2-222-22-22-1-1-1-1-1-1-111111111000000001111-1-1-1-1−3−3−3−33333−3−3−3−333332-22-20000-1-111-1-111−3−333−3−3330000000000000000
χ3022222222-2-2-2-2-1-2-222-22-22-1-1-1-1-1-1-111111111000000001111-1-1-1-1−3−3−3−33333−3−3−3−33333-22-22000011-1-111-1-133−3−333−3−30000000000000000
χ3122-2-2-2-2222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222000000002-2-22-2-222000000000000000000000000000000000000000000002-2-2200000000
χ3222-2-2-2-2222-2-222-2-2-2-2222222-2-22-2-2-2-2-2-22222000000002-2-22-2-22200000000000000000000000000000000000000000000-222-200000000
χ3322-2-2-2-2222-2-22-12222-2-2-2-2-1-111-111-1-1-1-111112222-2-2-2-2-111-1-1-111-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii0000000000000000
χ3422-2-2-2-2222-2-22-12222-2-2-2-2-1-111-111-1-1-1-111112222-2-2-2-2-111-1-1-111-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i0000000000000000
χ3522-2-2-2-2222-2-22-12222-2-2-2-2-1-111-111-1-1-1-11111-2-2-2-22222-111-1-1-11111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i0000000000000000
χ3622-2-2-2-2222-2-22-12222-2-2-2-2-1-111-111-1-1-1-11111-2-2-2-22222-111-1-1-11111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii0000000000000000
χ3722-2-2-2-222-222-2222-2-2-22-2222-2-22-2-22222-2-2-2-200000000-222-2-2-22200000000000000000000000000000000000000002i−2i−2i2i000000000000
χ3822-2-2-2-222-222-2222-2-2-22-2222-2-22-2-22222-2-2-2-200000000-222-2-2-2220000000000000000000000000000000000000000−2i2i2i−2i000000000000
χ3922-2-2-2-222-222-22-2-2222-22-222-2-22-2-2-2-2-2-2222200000000-222-222-2-200000000000000002i−2i−2i2i00002i2i−2i−2i−2i−2i2i2i000000000000000000000000
χ4022-2-2-2-222-222-22-2-2222-22-222-2-22-2-2-2-2-2-2222200000000-222-222-2-20000000000000000−2i2i2i−2i0000−2i−2i2i2i2i2i−2i−2i000000000000000000000000
χ4122-2-2-2-222-222-2-1-2-2222-22-2-1-111-1111111-1-1-1-1000000001-1-11-1-1113333−3−3−3−3−3−3−3−333332i−2i−2i2i0000−i−iiiii−i−ii3i3−i3−i3−i3−i3i3i30000000000000000
χ4222-2-2-2-222-222-2-1-2-2222-22-2-1-111-1111111-1-1-1-1000000001-1-11-1-1113333−3−3−3−3−3−3−3−33333−2i2i2i−2i0000ii−i−i−i−iii−i3−i3i3i3i3i3−i3−i30000000000000000
χ4322-2-2-2-222-222-2-1-2-2222-22-2-1-111-1111111-1-1-1-1000000001-1-11-1-111−3−3−3−333333333−3−3−3−32i−2i−2i2i0000−i−iiiii−i−i−i3−i3i3i3i3i3−i3−i30000000000000000
χ4422-2-2-2-222-222-2-1-2-2222-22-2-1-111-1111111-1-1-1-1000000001-1-11-1-111−3−3−3−333333333−3−3−3−3−2i2i2i−2i0000ii−i−i−i−iiii3i3−i3−i3−i3−i3i3i30000000000000000
χ452-222-2-2-2222-2-222-22-222-2-2-2-2222-2-222-2-222-2-20000000022-2-22-22-20000000000000000000000000000000000000000000000002-22-20000
χ462-222-2-2-2222-2-222-22-222-2-2-2-2222-2-222-2-222-2-20000000022-2-22-22-2000000000000000000000000000000000000000000000000-22-220000
χ472-222-2-2-2222-2-22-22-22-2-222-2-2222-2-2-2-222-2-2222i2i−2i−2i2i2i−2i−2i22-2-2-22-222i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ482-222-2-2-2222-2-22-22-22-2-222-2-2222-2-2-2-222-2-222−2i−2i2i2i−2i−2i2i2i22-2-2-22-22−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ492-222-2-2-2222-2-2-1-22-22-2-22211-1-1-11111-1-111-1-12i2i−2i−2i2i2i−2i−2i-1-1111-11-1−i−iii−i−iii−i−iii−i−iii000000003−33−33−33−3−i3i3−i3i3−i3i3−i3i30000000000000000
χ502-222-2-2-2222-2-2-1-22-22-2-22211-1-1-11111-1-111-1-12i2i−2i−2i2i2i−2i−2i-1-1111-11-1−i−iii−i−iii−i−iii−i−iii00000000−33−33−33−33i3−i3i3−i3i3−i3i3−i30000000000000000
χ512-222-2-2-2222-2-2-1-22-22-2-22211-1-1-11111-1-111-1-1−2i−2i2i2i−2i−2i2i2i-1-1111-11-1ii−i−iii−i−iii−i−iii−i−i000000003−33−33−33−3i3−i3i3−i3i3−i3i3−i30000000000000000
χ522-222-2-2-2222-2-2-1-22-22-2-22211-1-1-11111-1-111-1-1−2i−2i2i2i−2i−2i2i2i-1-1111-11-1ii−i−iii−i−iii−i−iii−i−i00000000−33−33−33−33−i3i3−i3i3−i3i3−i3i30000000000000000
χ532-222-2-2-22-2-22222-2-222-2-22-2-2222-2-222-2-222-2-200000000-2-222-22-22000000000000000000002i−2i2i−2i000000002i−2i−2i2i2i−2i−2i2i0000000000000000
χ542-222-2-2-22-2-22222-2-222-2-22-2-2222-2-222-2-222-2-200000000-2-222-22-2200000000000000000000−2i2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i0000000000000000
χ552-222-2-2-22-2-2222-222-2-222-2-2-2222-2-2-2-222-2-22200000000-2-2222-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i
χ562-222-2-2-22-2-2222-222-2-222-2-2-2222-2-2-2-222-2-22200000000-2-2222-22-20000000000000000000000000000000000000000000000000000−2i2i−2i2i
χ572-222-2-2-22-2-222-12-2-222-2-2211-1-1-111-1-111-1-1110000000011-1-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i300002i−2i2i−2i−333−3−333−3−iii−i−iii−i0000000000000000
χ582-222-2-2-22-2-222-12-2-222-2-2211-1-1-111-1-111-1-1110000000011-1-11-11-1−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i30000−2i2i−2i2i3−3−333−3−33i−i−iii−i−ii0000000000000000
χ592-222-2-2-22-2-222-12-2-222-2-2211-1-1-111-1-111-1-1110000000011-1-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i300002i−2i2i−2i3−3−333−3−33−iii−i−iii−i0000000000000000
χ602-222-2-2-22-2-222-12-2-222-2-2211-1-1-111-1-111-1-1110000000011-1-11-11-1i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i30000−2i2i−2i2i−333−3−333−3i−i−iii−i−ii0000000000000000
χ612-2-2-222-222-22-222-22-2-2-222-2-2-2-222222-2-2-2-222000000002-22-22-2-220000000000000000000000000000000000000000000000002-2-220000
χ622-2-2-222-222-22-222-22-2-2-222-2-2-2-222222-2-2-2-222000000002-22-22-2-22000000000000000000000000000000000000000000000000-222-20000
χ632-2-2-222-222-22-22-22-2222-2-2-2-2-2-2222-2-22222-2-22i2i−2i−2i−2i−2i2i2i2-22-2-222-22i2i−2i−2i2i2i−2i−2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000000000000000
χ642-2-2-222-222-22-22-22-2222-2-2-2-2-2-2222-2-22222-2-2−2i−2i2i2i2i2i−2i−2i2-22-2-222-2−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000000000000000
χ652-2-2-222-222-22-2-1-22-2222-2-21111-1-1-111-1-1-1-1112i2i−2i−2i−2i−2i2i2i-11-111-1-11−i−iii−i−iiiii−i−iii−i−i00000000−i3i3−i3i3i3−i3i3−i3−33−333−33−30000000000000000
χ662-2-2-222-222-22-2-1-22-2222-2-21111-1-1-111-1-1-1-1112i2i−2i−2i−2i−2i2i2i-11-111-1-11−i−iii−i−iiiii−i−iii−i−i00000000i3−i3i3−i3−i3i3−i3i33−33−3−33−330000000000000000
χ672-2-2-222-222-22-2-1-22-2222-2-21111-1-1-111-1-1-1-111−2i−2i2i2i2i2i−2i−2i-11-111-1-11ii−i−iii−i−i−i−iii−i−iii00000000−i3i3−i3i3i3−i3i3−i33−33−3−33−330000000000000000
χ682-2-2-222-222-22-2-1-22-2222-2-21111-1-1-111-1-1-1-111−2i−2i2i2i2i2i−2i−2i-11-111-1-11ii−i−iii−i−i−i−iii−i−iii00000000i3−i3i3−i3−i3i3−i3i3−33−333−33−30000000000000000
χ692-2-2-222-22-22-2222-2-22-222-2-2-2-2-222222-2-2-2-22200000000-22-22-222-2000000000000000000002-2-22000000002-2-22-222-20000000000000000
χ702-2-2-222-22-22-2222-2-22-222-2-2-2-2-222222-2-2-2-22200000000-22-22-222-200000000000000000000-222-200000000-222-22-2-220000000000000000
χ712-2-2-222-22-22-222-222-22-2-22-2-2-2-2222-2-22222-2-200000000-22-222-2-2200000000000000000000000000000000000000000000000000002-2-22
χ722-2-2-222-22-22-222-222-22-2-22-2-2-2-2222-2-22222-2-200000000-22-222-2-220000000000000000000000000000000000000000000000000000-222-2
χ732-2-2-222-22-22-22-12-2-22-222-21111-1-1-1-1-11111-1-1000000001-11-11-1-11−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300002-2-22i3−i3−i3i3−i3i3i3−i3-111-11-1-110000000000000000
χ742-2-2-222-22-22-22-12-2-22-222-21111-1-1-1-1-11111-1-1000000001-11-11-1-11−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000-222-2−i3i3i3−i3i3−i3−i3i31-1-11-111-10000000000000000
χ752-2-2-222-22-22-22-12-2-22-222-21111-1-1-1-1-11111-1-1000000001-11-11-1-11i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300002-2-22−i3i3i3−i3i3−i3−i3i3-111-11-1-110000000000000000
χ762-2-2-222-22-22-22-12-2-22-222-21111-1-1-1-1-11111-1-1000000001-11-11-1-11i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-222-2i3−i3−i3i3−i3i3i3−i31-1-11-111-10000000000000000
χ77444444444444-2-4-4-4-4-4-4-4-4-2-2-2-2-2-2-22222222200000000-2-2-2-2222200000000000000000000000000000000000000000000000000000000
χ7844444444-4-4-4-4-244-4-44-44-4-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000002222222200000000000000000000000000000000000000000000000000000000
χ79444-44-4-4-400004000000004-44-4-44-4000000002-22-22-22-2000000002-22-22-22-22-22-22-22-20000000000000000000000000000000000000000
χ80444-44-4-4-400004000000004-44-4-44-400000000-22-22-22-2200000000-22-22-22-22-22-22-22-220000000000000000000000000000000000000000
χ81444-44-4-4-40000-200000000-22-222-2223−2323−2323−2323−232-22-22-22-200000000−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000000000
χ82444-44-4-4-40000-200000000-22-222-2223−2323−2323−2323−23-22-22-22-22000000001−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000000000
χ83444-44-4-4-40000-200000000-22-222-22−2323−2323−2323−23232-22-22-22-200000000−1−31+3−1−31+3−1+31−3−1+31−3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000000000
χ84444-44-4-4-40000-200000000-22-222-22−2323−2323−2323−2323-22-22-22-22000000001+3−1−31+3−1−31−3−1+31−3−1+31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000000000
χ8544-44-44-4-400004000000004-4-44-4-44000000002-22-2-22-22000000002-22-22-22-2-22-22-22-220000000000000000000000000000000000000000
χ8644-44-44-4-400004000000004-4-44-4-4400000000-22-222-22-200000000-22-22-22-222-22-22-22-20000000000000000000000000000000000000000
χ8744-44-44-4-40000-200000000-222-222-223−2323−23−2323−23232-22-2-22-2200000000−1+31−3−1+31−3−1−31+3−1−31+31−3−1+31−3−1+31+3−1−31+3−1−30000000000000000000000000000000000000000
χ8844-44-44-4-40000-200000000-222-222-223−2323−23−2323−2323-22-222-22-2000000001−3−1+31−3−1+31+3−1−31+3−1−3−1+31−3−1+31−3−1−31+3−1−31+30000000000000000000000000000000000000000
χ8944-44-44-4-40000-200000000-222-222-2−2323−232323−2323−232-22-2-22-2200000000−1−31+3−1−31+3−1+31−3−1+31−31+3−1−31+3−1−31−3−1+31−3−1+30000000000000000000000000000000000000000
χ9044-44-44-4-40000-200000000-222-222-2−2323−232323−2323−23-22-222-22-2000000001+3−1−31+3−1−31−3−1+31−3−1+3−1−31+3−1−31+3−1+31−3−1+31−30000000000000000000000000000000000000000
χ9144-4-4-4-4444-4-44-2-4-4-4-44444-2-222-2222222-2-2-2-200000000-222-222-2-200000000000000000000000000000000000000000000000000000000
χ9244-4-4-4-444-444-4-244-4-4-44-44-2-222-222-2-2-2-22222000000002-2-2222-2-200000000000000000000000000000000000000000000000000000000
χ934-444-4-4-4444-4-4-24-44-444-4-422-2-2-222-2-222-2-22200000000-2-222-22-2200000000000000000000000000000000000000000000000000000000
χ944-444-4-4-44-4-444-2-444-4-444-422-2-2-22222-2-222-2-20000000022-2-2-22-2200000000000000000000000000000000000000000000000000000000
χ954-44-4-444-40000400000000-444-4-4-44000000002i−2i−2i2i2i−2i−2i2i000000002i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ964-44-4-444-40000400000000-444-4-4-4400000000−2i2i2i−2i−2i2i2i−2i00000000−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ974-44-4-444-40000-2000000002-2-2222-223−23−232323−23−23232i−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
χ984-44-4-444-40000-2000000002-2-2222-223−23−232323−23−2323−2i2i2i−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
χ994-44-4-444-40000-2000000002-2-2222-2−232323−23−232323−232i−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
χ1004-44-4-444-40000-2000000002-2-2222-2−232323−23−232323−23−2i2i2i−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
χ1014-4-444-44-40000400000000-44-44-44-4000000002i−2i−2i2i−2i2i2i−2i000000002i−2i−2i2i2i−2i−2i2i−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000000000
χ1024-4-444-44-40000400000000-44-44-44-400000000−2i2i2i−2i2i−2i−2i2i00000000−2i2i2i−2i−2i2i2i−2i2i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000000000
χ1034-4-444-44-40000-2000000002-22-22-2223−23−2323−232323−232i−2i−2i2i−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+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
χ1044-4-444-44-40000-2000000002-22-22-2223−23−2323−232323−23−2i2i2i−2i2i−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−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
χ1054-4-444-44-40000-2000000002-22-22-22−232323−2323−23−23232i−2i−2i2i−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+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
χ1064-4-444-44-40000-2000000002-22-22-22−232323−2323−23−2323−2i2i2i−2i2i−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−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
χ1074-4-4-444-444-44-4-24-44-4-4-4442222-2-2-2-2-22222-2-200000000-22-22-222-200000000000000000000000000000000000000000000000000000000
χ1084-4-4-444-44-44-44-2-444-44-4-442222-2-2-222-2-2-2-222000000002-22-2-222-200000000000000000000000000000000000000000000000000000000

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