Finite Group Databasebeta

← Group #10690815

Character table — Group #10690815

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order12222222344444444666666612121212121212122244444444666612121212121212121212121212121212121212128888888824242424242424242424242424242424888888884444
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
χ511111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-111
χ811111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ9111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i1-11-1
χ10111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-11-11
χ11111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-11-11
χ12111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii1-11-1
χ13111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-1-11
χ14111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-111-1
χ15111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-111-1
χ16111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-1-11
χ1722222222222-2-2-2-2222222222-2-2-2-2-2-2-2-222-2-2-2-222-2-22222-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ1822222222222-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-222-2-222-2-2-2-2-2-2-2-222222222-2-2-2-22222000000000000000000000000000000000000
χ19222222222-2-22222-2-222222222222222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ20222222222-2-22222-2-2222222222222222-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2122222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ2222222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ2322222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ2422222222-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-21111-1-1-1-1-1-1-1-1111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ2522222222-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-111110000000033−3−333−3−333−3−333−3−3000000000000
χ2622222222-122-2-2-2-222-1-1-1-1-1-1-11111111122-2-2-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1111100000000−3−333−3−333−3−333−3−333000000000000
χ2722222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-10000000033−3−333−3−3−3−333−3−333000000000000
χ2822222222-122-2-2-2-222-1-1-1-1-1-1-111111111-2-2-2-222-2-22211111111-1-1-1-1-1-1-1-11111-1-1-1-100000000−3−333−3−33333−3−333−3−3000000000000
χ2922222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3022222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-222-1-1-1-11111111111111111-1-1-1-100000000i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3122222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2111111111111-1-1-1-1-1-1-1-1111100000000−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3000000000000
χ3222222222-1-2-22222-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222-2-2111111111111-1-1-1-1-1-1-1-1111100000000i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3000000000000
χ3322222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3422222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111222222-2-2-2-2-1-1-1-1-1-1-1-11111-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ3522222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ3622222222-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-111111111-2-222-2-222221111-1-1-1-111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ3722-2-22-22-222i−2i00002i−2i22-2-22-2-20000000000002i−2i002-2000000002i2i−2i−2i2i2i−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
χ3822-2-22-22-222i−2i00002i−2i22-2-22-2-20000000000002i−2i002-2000000002i2i−2i−2i2i2i−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
χ3922-2-22-22-222i−2i00002i−2i22-2-22-2-2000000000000−2i2i00-22000000002i2i−2i−2i−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
χ4022-2-22-22-222i−2i00002i−2i22-2-22-2-2000000000000−2i2i00-22000000002i2i−2i−2i−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
χ4122-2-22-22-22−2i2i0000−2i2i22-2-22-2-20000000000002i−2i00-2200000000−2i−2i2i2i2i2i−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
χ4222-2-22-22-22−2i2i0000−2i2i22-2-22-2-20000000000002i−2i00-2200000000−2i−2i2i2i2i2i−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
χ4322-2-22-22-22−2i2i0000−2i2i22-2-22-2-2000000000000−2i2i002-200000000−2i−2i2i2i−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
χ4422-2-22-22-22−2i2i0000−2i2i22-2-22-2-2000000000000−2i2i002-200000000−2i−2i2i2i−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
χ4522-2-22-22-2-12i−2i00002i−2i-1-111-111−i3−i3−i3−i3i3i3i3i300002i−2i002-2−i3−i3i3i333−3−3−i−iii−i−iii33−3−3-1-1111+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000000000
χ4622-2-22-22-2-12i−2i00002i−2i-1-111-111−i3−i3−i3−i3i3i3i3i300002i−2i002-2−i3−i3i3i333−3−3−i−iii−i−iii33−3−3-1-111−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000000000
χ4722-2-22-22-2-12i−2i00002i−2i-1-111-111−i3−i3−i3−i3i3i3i3i30000−2i2i00-22i3i3−i3−i333−3−3−i−iiiii−i−i−3−33311-1-11+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000000000
χ4822-2-22-22-2-12i−2i00002i−2i-1-111-111−i3−i3−i3−i3i3i3i3i30000−2i2i00-22i3i3−i3−i333−3−3−i−iiiii−i−i−3−33311-1-1−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000000000
χ4922-2-22-22-2-12i−2i00002i−2i-1-111-111i3i3i3i3−i3−i3−i3−i300002i−2i002-2i3i3−i3−i3−3−333−i−iii−i−iii−3−333-1-1111+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000000000
χ5022-2-22-22-2-12i−2i00002i−2i-1-111-111i3i3i3i3−i3−i3−i3−i300002i−2i002-2i3i3−i3−i3−3−333−i−iii−i−iii−3−333-1-111−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000000000
χ5122-2-22-22-2-12i−2i00002i−2i-1-111-111i3i3i3i3−i3−i3−i3−i30000−2i2i00-22−i3−i3i3i3−3−333−i−iiiii−i−i33−3−311-1-11+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000000000
χ5222-2-22-22-2-12i−2i00002i−2i-1-111-111i3i3i3i3−i3−i3−i3−i30000−2i2i00-22−i3−i3i3i3−3−333−i−iiiii−i−i33−3−311-1-1−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000000000
χ5322-2-22-22-2-1−2i2i0000−2i2i-1-111-111−i3−i3−i3−i3i3i3i3i300002i−2i00-22i3i3−i3−i3−3−333ii−i−i−i−iii33−3−311-1-11−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000000000
χ5422-2-22-22-2-1−2i2i0000−2i2i-1-111-111−i3−i3−i3−i3i3i3i3i300002i−2i00-22i3i3−i3−i3−3−333ii−i−i−i−iii33−3−311-1-1−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000
χ5522-2-22-22-2-1−2i2i0000−2i2i-1-111-111−i3−i3−i3−i3i3i3i3i30000−2i2i002-2−i3−i3i3i3−3−333ii−i−iii−i−i−3−333-1-1111−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000
χ5622-2-22-22-2-1−2i2i0000−2i2i-1-111-111−i3−i3−i3−i3i3i3i3i30000−2i2i002-2−i3−i3i3i3−3−333ii−i−iii−i−i−3−333-1-111−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000000000
χ5722-2-22-22-2-1−2i2i0000−2i2i-1-111-111i3i3i3i3−i3−i3−i3−i300002i−2i00-22−i3−i3i3i333−3−3ii−i−i−i−iii−3−33311-1-11−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000000000
χ5822-2-22-22-2-1−2i2i0000−2i2i-1-111-111i3i3i3i3−i3−i3−i3−i300002i−2i00-22−i3−i3i3i333−3−3ii−i−i−i−iii−3−33311-1-1−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000
χ5922-2-22-22-2-1−2i2i0000−2i2i-1-111-111i3i3i3i3−i3−i3−i3−i30000−2i2i002-2i3i3−i3−i333−3−3ii−i−iii−i−i33−3−3-1-1111−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000
χ6022-2-22-22-2-1−2i2i0000−2i2i-1-111-111i3i3i3i3−i3−i3−i3−i30000−2i2i002-2i3i3−i3−i333−3−3ii−i−iii−i−i33−3−3-1-111−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000000000
χ612-2-22-2-22222222-2-2-2-2-2-2-2-222222-2-222-2-2002-200000000002-22-22-22-20000000000000000000000000000000000002i−2i2i−2i00000000
χ622-2-22-2-22222222-2-2-2-2-2-2-2-222222-2-222-2-2002-200000000002-22-22-22-2000000000000000000000000000000000000−2i2i−2i2i00000000
χ632-2-22-2-222222-2-222-2-2-2-2-2-2222-2-222-2-22200-220000000000-22-222-22-200000000000000000000000000000000000000002i−2i2i−2i0000
χ642-2-22-2-222222-2-222-2-2-2-2-2-2222-2-222-2-22200-220000000000-22-222-22-20000000000000000000000000000000000000000−2i2i−2i2i0000
χ652-2-22-2-2222-2-222-2-222-2-2-2-222222-2-222-2-200-220000000000-22-22-22-2200000000000000000000000000000000000000002-2-220000
χ662-2-22-2-2222-2-222-2-222-2-2-2-222222-2-222-2-200-220000000000-22-22-22-220000000000000000000000000000000000000000-222-20000
χ672-2-22-2-2222-2-2-2-22222-2-2-2-2222-2-222-2-222002-200000000002-22-2-22-220000000000000000000000000000000000002-2-2200000000
χ682-2-22-2-2222-2-2-2-22222-2-2-2-2222-2-222-2-222002-200000000002-22-2-22-22000000000000000000000000000000000000-222-200000000
χ694444-4-4-4-44000000004-44-4-44-4000000004-4000000004-44-400000000000000000000000000000000000000000000000000000000
χ704444-4-4-4-44000000004-44-4-44-400000000-4400000000-44-4400000000000000000000000000000000000000000000000000000000
χ714444-4-4-4-4-200000000-22-222-2223−2323−2323−2323−234-400000000-22-22000000000000000023−2323−23000000000000000000000000000000000000
χ724444-4-4-4-4-200000000-22-222-2223−2323−2323−2323−23-44000000002-22-20000000000000000−2323−2323000000000000000000000000000000000000
χ734444-4-4-4-4-200000000-22-222-22−2323−2323−2323−23234-400000000-22-220000000000000000−2323−2323000000000000000000000000000000000000
χ744444-4-4-4-4-200000000-22-222-22−2323−2323−2323−2323-44000000002-22-2000000000000000023−2323−23000000000000000000000000000000000000
χ7544-4-4-44-444004i−4i4i−4i004-4-44-4-444i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ7644-4-4-44-44400−4i4i−4i4i004-4-44-4-44−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ7744-4-4-44-44-2004i−4i4i−4i00-222-222-2−2i2i−2i2i2i−2i2i−2i0000000000−2i32i32i3−2i3000000000000000023−23−2323000000000000000000000000000000000000
χ7844-4-4-44-44-2004i−4i4i−4i00-222-222-2−2i2i−2i2i2i−2i2i−2i00000000002i3−2i3−2i32i30000000000000000−232323−23000000000000000000000000000000000000
χ7944-4-4-44-44-200−4i4i−4i4i00-222-222-22i−2i2i−2i−2i2i−2i2i0000000000−2i32i32i3−2i30000000000000000−232323−23000000000000000000000000000000000000
χ8044-4-4-44-44-200−4i4i−4i4i00-222-222-22i−2i2i−2i−2i2i−2i2i00000000002i3−2i3−2i32i3000000000000000023−23−2323000000000000000000000000000000000000
χ814-44-44-4-444004i−4i−4i4i00-444-4-4-444i−4i−4i4i−4i4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000
χ824-44-44-4-44400−4i4i4i−4i00-444-4-4-44−4i4i4i−4i4i−4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000
χ834-44-44-4-44-2004i−4i−4i4i002-2-2222-2−2i2i2i−2i2i−2i−2i2i000000000000000000000023−2323−23−2i32i3−2i32i30000000000000000000000000000000000000000
χ844-44-44-4-44-2004i−4i−4i4i002-2-2222-2−2i2i2i−2i2i−2i−2i2i0000000000000000000000−2323−23232i3−2i32i3−2i30000000000000000000000000000000000000000
χ854-44-44-4-44-200−4i4i4i−4i002-2-2222-22i−2i−2i2i−2i2i2i−2i000000000000000000000023−2323−232i3−2i32i3−2i30000000000000000000000000000000000000000
χ864-44-44-4-44-200−4i4i4i−4i002-2-2222-22i−2i−2i2i−2i2i2i−2i0000000000000000000000−2323−2323−2i32i3−2i32i30000000000000000000000000000000000000000
χ874-44-4-444-444i−4i0000−4i4i-4-4444-4-4000000000000000000000000004i−4i−4i4i000000000000000000000000000000000000000000000000
χ884-44-4-444-44−4i4i00004i−4i-4-4444-4-400000000000000000000000000−4i4i4i−4i000000000000000000000000000000000000000000000000
χ894-44-4-444-4-24i−4i0000−4i4i22-2-2-222−2i3−2i32i32i32i32i3−2i3−2i30000000000000023−23−2323−2i2i2i−2i000000000000000000000000000000000000000000000000
χ904-44-4-444-4-24i−4i0000−4i4i22-2-2-2222i32i3−2i3−2i3−2i3−2i32i32i300000000000000−232323−23−2i2i2i−2i000000000000000000000000000000000000000000000000
χ914-44-4-444-4-2−4i4i00004i−4i22-2-2-222−2i3−2i32i32i32i32i3−2i3−2i300000000000000−232323−232i−2i−2i2i000000000000000000000000000000000000000000000000
χ924-44-4-444-4-2−4i4i00004i−4i22-2-2-2222i32i3−2i3−2i3−2i3−2i32i32i30000000000000023−23−23232i−2i−2i2i000000000000000000000000000000000000000000000000
χ934-4-4444-4-4400000000-44-44-44-4000000000000004i−4i0000000000000000004i−4i−4i4i0000000000000000000000000000000000000000
χ944-4-4444-4-4400000000-44-44-44-400000000000000−4i4i000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000
χ954-4-4444-4-4-2000000002-22-22-2223−23−232323−23−23230000004i−4i000000000000002i3−2i3−2i32i3−2i2i2i−2i0000000000000000000000000000000000000000
χ964-4-4444-4-4-2000000002-22-22-2223−23−232323−23−2323000000−4i4i00000000000000−2i32i32i3−2i32i−2i−2i2i0000000000000000000000000000000000000000
χ974-4-4444-4-4-2000000002-22-22-22−232323−23−232323−230000004i−4i00000000000000−2i32i32i3−2i3−2i2i2i−2i0000000000000000000000000000000000000000
χ984-4-4444-4-4-2000000002-22-22-22−232323−23−232323−23000000−4i4i000000000000002i3−2i3−2i32i32i−2i−2i2i0000000000000000000000000000000000000000
χ994-4-44-4-444-24444-4-4-4-42222-2-2-2-2-222-2-222004-40000000000-22-22-22-22000000000000000000000000000000000000000000000000
χ1004-4-44-4-444-244-4-444-4-42222-2-2-222-2-222-2-200-4400000000002-22-2-22-22000000000000000000000000000000000000000000000000
χ1014-4-44-4-444-2-4-444-4-4442222-2-2-2-2-222-2-22200-4400000000002-22-22-22-2000000000000000000000000000000000000000000000000
χ1024-4-44-4-444-2-4-4-4-444442222-2-2-222-2-222-2-2004-40000000000-22-222-22-2000000000000000000000000000000000000000000000000

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