Finite Group Databasebeta

← Group #10690775

Character table — Group #10690775

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222222222224444444444444444444444444444444444888888888888888888888888242424242424242448484848
order1222222222223444466666666666666644444444441212121212121212121212121212121212121212121212124444444412121212121212121212121212121212888888882444
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-111-1
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111111-1-11
χ911111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−iii−i−iii−i−i11-1-1
χ1011111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1ii−i−iii−i−iiiii−i−i−i−iiiii−i−i−i−i−i−iii−i−iii-1-111
χ1111111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiiiii−i−iii−i−i-1-111
χ1211111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1−i−iii−i−iii−i−i−i−iiiii−i−i−i−iiiii−i−iii−i−iii11-1-1
χ1311111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiiiii−i−i−i−iii1-11-1
χ1411111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111ii−i−i−i−iiiiiii−i−i−i−i−i−i−i−iiiii−i−iiiii−i−i-11-11
χ1511111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−iii−i−i−i−iii-11-11
χ1611111111-1-1-1-11-1-1-1-11111-1-1-1-1111-1-1-1-111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111111111−i−iiiii−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−iiiii−i−i1-11-1
χ172222222222222-2-2-2-2222222222222222-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222-2-2-2-2000000000000000000000000000000000000
χ182222222222222-2-2-2-2222222222222222-2-2-2-2-2-22222-2-2-2-2-2-2-2-2-2-2-2-22222-2-2-2-22222000000000000000000000000000000000000
χ19222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111000000000000
χ21222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2-2-2-1-1-1-1-1-1-1-111111111000000000000
χ22222222222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-2222211111111-1-1-1-1-1-1-1-1000000000000
χ23222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ24222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-22222-2-2-2-211111111-1-1-1-11111-1-1-1-1111100000000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ25222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222111111111111-1-1-1-11111-1-1-1-100000000−i3−i3i3i3−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3000000000000
χ26222222222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222111111111111-1-1-1-11111-1-1-1-100000000i3i3−i3−i3i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3000000000000
χ2722222222-2-2-2-2222222222-2-2-2-2222-2-2-2-2-2-222-2-2-2-222-2-2-2-222222222-2-2-2-2-2-2-2-22222000000000000000000000000000000000000
χ2822222222-2-2-2-2222222222-2-2-2-2222-2-2-2-2-2-2-2-22222-2-2-2-2-2-22222-2-2-2-222222222-2-2-2-2000000000000000000000000000000000000
χ2922222222-2-2-2-2-12222-1-1-1-11111-1-1-11111-2-222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-10000000033−3−3−3−33333−3−3−3−333000000000000
χ3022222222-2-2-2-2-12222-1-1-1-11111-1-1-11111-2-222-2-2-2-2221111-1-1-1-1-1-1-1-111111111-1-1-1-100000000−3−33333−3−3−3−33333−3−3000000000000
χ3122222222-2-2-2-2-12222-1-1-1-11111-1-1-11111-2-2-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-111110000000033−3−3−3−333−3−33333−3−3000000000000
χ3222222222-2-2-2-2-12222-1-1-1-11111-1-1-11111-2-2-2-22222-2-21111-1-1-1-11111-1-1-1-1-1-1-1-1111100000000−3−33333−3−333−3−3−3−333000000000000
χ3322222222-2-2-2-2-1-2-2-2-2-1-1-1-11111-1-1-111112222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-1111111112i2i−2i−2i2i2i−2i−2i−i−i−i−iiiii−i−i−i−iiiii000000000000
χ3422222222-2-2-2-2-1-2-2-2-2-1-1-1-11111-1-1-111112222-2-222-2-2-1-1-1-11111-1-1-1-1-1-1-1-111111111−2i−2i2i2i−2i−2i2i2iiiii−i−i−i−iiiii−i−i−i−i000000000000
χ3522222222-2-2-2-2-1-2-2-2-2-1-1-1-11111-1-1-1111122-2-222-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-12i2i−2i−2i−2i−2i2i2i−i−i−i−iiiiiiiii−i−i−i−i000000000000
χ3622222222-2-2-2-2-1-2-2-2-2-1-1-1-11111-1-1-1111122-2-222-2-222-1-1-1-1111111111111-1-1-1-1-1-1-1-1−2i−2i2i2i2i2i−2i−2iiiii−i−i−i−i−i−i−i−iiiii000000000000
χ3722-22-22-2-2000022i−2i2i−2i22-2-200002-2-2000000002-22i−2i0000002i2i−2i−2i00002i2i−2i−2i22-2-200001+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
χ3822-22-22-2-2000022i−2i2i−2i22-2-200002-2-2000000002-22i−2i0000002i2i−2i−2i00002i2i−2i−2i22-2-20000−1−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
χ3922-22-22-2-2000022i−2i2i−2i22-2-200002-2-200000000-22−2i2i0000002i2i−2i−2i0000−2i−2i2i2i-2-22200001+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
χ4022-22-22-2-2000022i−2i2i−2i22-2-200002-2-200000000-22−2i2i0000002i2i−2i−2i0000−2i−2i2i2i-2-2220000−1−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
χ4122-22-22-2-200002−2i2i−2i2i22-2-200002-2-2000000002-2−2i2i000000−2i−2i2i2i0000−2i−2i2i2i22-2-200001−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
χ4222-22-22-2-200002−2i2i−2i2i22-2-200002-2-2000000002-2−2i2i000000−2i−2i2i2i0000−2i−2i2i2i22-2-20000−1+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
χ4322-22-22-2-200002−2i2i−2i2i22-2-200002-2-200000000-222i−2i000000−2i−2i2i2i00002i2i−2i−2i-2-22200001−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
χ4422-22-22-2-200002−2i2i−2i2i22-2-200002-2-200000000-222i−2i000000−2i−2i2i2i00002i2i−2i−2i-2-2220000−1+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
χ4522-22-22-2-20000-12i−2i2i−2i-1-111−i3−i3i3i3-111−i3−i3i3i300002-22i−2i0033−3−3−i−iii−i3−i3i3i3−i−iii-1-11133−3−31+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000000000
χ4622-22-22-2-20000-12i−2i2i−2i-1-111−i3−i3i3i3-111−i3−i3i3i300002-22i−2i0033−3−3−i−iii−i3−i3i3i3−i−iii-1-11133−3−3−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000000000
χ4722-22-22-2-20000-12i−2i2i−2i-1-111−i3−i3i3i3-111−i3−i3i3i30000-22−2i2i0033−3−3−i−iiii3i3−i3−i3ii−i−i11-1-1−3−3331+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11000000000000
χ4822-22-22-2-20000-12i−2i2i−2i-1-111−i3−i3i3i3-111−i3−i3i3i30000-22−2i2i0033−3−3−i−iiii3i3−i3−i3ii−i−i11-1-1−3−333−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11000000000000
χ4922-22-22-2-20000-12i−2i2i−2i-1-111i3i3−i3−i3-111i3i3−i3−i300002-22i−2i00−3−333−i−iiii3i3−i3−i3−i−iii-1-111−3−3331+i−1−i1−i−1+i1−i−1+i1+i−1−i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000000000
χ5022-22-22-2-20000-12i−2i2i−2i-1-111i3i3−i3−i3-111i3i3−i3−i300002-22i−2i00−3−333−i−iiii3i3−i3−i3−i−iii-1-111−3−333−1−i1+i−1+i1−i−1+i1−i−1−i1+iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000000000
χ5122-22-22-2-20000-12i−2i2i−2i-1-111i3i3−i3−i3-111i3i3−i3−i30000-22−2i2i00−3−333−i−iii−i3−i3i3i3ii−i−i11-1-133−3−31+i−1−i1−i−1+i−1+i1−i−1−i1+i−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7000000000000
χ5222-22-22-2-20000-12i−2i2i−2i-1-111i3i3−i3−i3-111i3i3−i3−i30000-22−2i2i00−3−333−i−iii−i3−i3i3i3ii−i−i11-1-133−3−3−1−i1+i−1+i1−i1−i−1+i1+i−1−iζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7000000000000
χ5322-22-22-2-20000-1−2i2i−2i2i-1-111−i3−i3i3i3-111−i3−i3i3i300002-2−2i2i00−3−333ii−i−i−i3−i3i3i3ii−i−i-1-111−3−3331−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000
χ5422-22-22-2-20000-1−2i2i−2i2i-1-111−i3−i3i3i3-111−i3−i3i3i300002-2−2i2i00−3−333ii−i−i−i3−i3i3i3ii−i−i-1-111−3−333−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000000000
χ5522-22-22-2-20000-1−2i2i−2i2i-1-111−i3−i3i3i3-111−i3−i3i3i30000-222i−2i00−3−333ii−i−ii3i3−i3−i3−i−iii11-1-133−3−31−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11000000000000
χ5622-22-22-2-20000-1−2i2i−2i2i-1-111−i3−i3i3i3-111−i3−i3i3i30000-222i−2i00−3−333ii−i−ii3i3−i3−i3−i−iii11-1-133−3−3−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ2+ζ7−ζ2−ζ7ζ10+ζ11−ζ10−ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2−ζ7ζ2+ζ7−ζ10−ζ11ζ10+ζ11000000000000
χ5722-22-22-2-20000-1−2i2i−2i2i-1-111i3i3−i3−i3-111i3i3−i3−i300002-2−2i2i0033−3−3ii−i−ii3i3−i3−i3ii−i−i-1-11133−3−31−i−1+i1+i−1−i1+i−1−i1−i−1+i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000
χ5822-22-22-2-20000-1−2i2i−2i2i-1-111i3i3−i3−i3-111i3i3−i3−i300002-2−2i2i0033−3−3ii−i−ii3i3−i3−i3ii−i−i-1-11133−3−3−1+i1−i−1−i1+i−1−i1+i−1+i1−iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000000000
χ5922-22-22-2-20000-1−2i2i−2i2i-1-111i3i3−i3−i3-111i3i3−i3−i30000-222i−2i0033−3−3ii−i−i−i3−i3i3i3−i−iii11-1-1−3−3331−i−1+i1+i−1−i−1−i1+i−1+i1−i−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7ζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7000000000000
χ6022-22-22-2-20000-1−2i2i−2i2i-1-111i3i3−i3−i3-111i3i3−i3−i30000-222i−2i0033−3−3ii−i−i−i3−i3i3i3−i−iii11-1-1−3−333−1+i1−i−1−i1+i1+i−1−i1−i−1+iζ10+ζ11−ζ10−ζ11ζ2+ζ7−ζ2−ζ7ζ10−ζ11−ζ10+ζ11ζ2−ζ7−ζ2+ζ7−ζ10+ζ11ζ10−ζ11−ζ2+ζ7ζ2−ζ7−ζ10−ζ11ζ10+ζ11−ζ2−ζ7ζ2+ζ7000000000000
χ612-2-222-2-222-22-2222-2-2-2-2-2-22-22-22222-22-22-2000000002-22-22-22-2000000000000000000000000000000000000000000002i−2i2i−2i0000
χ622-2-222-2-222-22-2222-2-2-2-2-2-22-22-22222-22-22-2000000002-22-22-22-200000000000000000000000000000000000000000000−2i2i−2i2i0000
χ632-2-222-2-222-22-22-2-222-2-2-2-22-22-22222-22-2-2200000000-22-22-22-2200000000000000000000000000000000000000002-22-200000000
χ642-2-222-2-222-22-22-2-222-2-2-2-22-22-22222-22-2-2200000000-22-22-22-220000000000000000000000000000000000000000-22-2200000000
χ652-2-222-2-22-22-22222-2-2-2-2-2-2-22-22222-22-22-2200000000-22-222-22-200000000000000000000000000000000000000002i−2i−2i2i00000000
χ662-2-222-2-22-22-22222-2-2-2-2-2-2-22-22222-22-22-2200000000-22-222-22-20000000000000000000000000000000000000000−2i2i2i−2i00000000
χ672-2-222-2-22-22-222-2-222-2-2-2-2-22-22222-22-222-2000000002-22-2-22-22000000000000000000000000000000000000000000002-2-220000
χ682-2-222-2-22-22-222-2-222-2-2-2-2-22-22222-22-222-2000000002-22-2-22-2200000000000000000000000000000000000000000000-222-20000
χ69444-4-4-4-4444-4-4400004-44-44444-44-4-4-4-4-40000000000000000000000000000000000000000000000000000000000000000000000
χ70444-4-4-4-4444-4-4-20000-22-22-2-2-2-22-2222220000000000000000000000−2i32i3−2i32i30000−2i32i3−2i32i3000000000000000000000000000000000000
χ71444-4-4-4-4444-4-4-20000-22-22-2-2-2-22-22222200000000000000000000002i3−2i32i3−2i300002i3−2i32i3−2i3000000000000000000000000000000000000
χ72444-4-4-4-44-4-444400004-44-4-4-4-4-4-44-444440000000000000000000000000000000000000000000000000000000000000000000000
χ73444-4-4-4-44-4-444-20000-22-2222222-22-2-2-2-20000000000000000000000−2i32i3−2i32i300002i3−2i32i3−2i3000000000000000000000000000000000000
χ74444-4-4-4-44-4-444-20000-22-2222222-22-2-2-2-200000000000000000000002i3−2i32i3−2i30000−2i32i3−2i32i3000000000000000000000000000000000000
χ7544-4-44-44-40000400004-4-440000-4-440000000000004i−4i000000000000000000004i−4i−4i4i000000000000000000000000000000000000
χ7644-4-44-44-40000400004-4-440000-4-44000000000000−4i4i00000000000000000000−4i4i4i−4i000000000000000000000000000000000000
χ7744-4-44-44-40000-20000-222-2−2i3−2i32i32i322-22i32i3−2i3−2i3000000004i−4i00000000000023−23−23230000−2i2i2i−2i000000000000000000000000000000000000
χ7844-4-44-44-40000-20000-222-2−2i3−2i32i32i322-22i32i3−2i3−2i300000000−4i4i000000000000−232323−2300002i−2i−2i2i000000000000000000000000000000000000
χ7944-4-44-44-40000-20000-222-22i32i3−2i3−2i322-2−2i3−2i32i32i3000000004i−4i000000000000−232323−230000−2i2i2i−2i000000000000000000000000000000000000
χ8044-4-44-44-40000-20000-222-22i32i3−2i3−2i322-2−2i3−2i32i32i300000000−4i4i00000000000023−23−232300002i−2i−2i2i000000000000000000000000000000000000
χ814-444-4-44-4000044i−4i−4i4i-4-44400004-4-40000000000000000004i−4i−4i4i0000000000000000000000000000000000000000000000000000
χ824-444-4-44-400004−4i4i4i−4i-4-44400004-4-4000000000000000000−4i4i4i−4i0000000000000000000000000000000000000000000000000000
χ834-444-4-44-40000-24i−4i−4i4i22-2-2−2i32i32i3−2i3-222−2i32i32i3−2i3000000000023−23−2323−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ844-444-4-44-40000-24i−4i−4i4i22-2-22i3−2i3−2i32i3-2222i3−2i3−2i32i30000000000−232323−23−2i2i2i−2i0000000000000000000000000000000000000000000000000000
χ854-444-4-44-40000-2−4i4i4i−4i22-2-2−2i32i32i3−2i3-222−2i32i32i3−2i30000000000−232323−232i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ864-444-4-44-40000-2−4i4i4i−4i22-2-22i3−2i3−2i32i3-2222i3−2i3−2i32i3000000000023−23−23232i−2i−2i2i0000000000000000000000000000000000000000000000000000
χ874-44-444-4-4000040000-444-40000-4-440000004i−4i000000000000004i−4i4i−4i000000000000000000000000000000000000000000000000
χ884-44-444-4-4000040000-444-40000-4-44000000−4i4i00000000000000−4i4i−4i4i000000000000000000000000000000000000000000000000
χ894-44-444-4-40000-200002-2-22−2i32i32i3−2i322-22i3−2i3−2i32i3004i−4i00000000000000−2i2i−2i2i000023−2323−230000000000000000000000000000000000000000
χ904-44-444-4-40000-200002-2-22−2i32i32i3−2i322-22i3−2i3−2i32i300−4i4i000000000000002i−2i2i−2i0000−2323−23230000000000000000000000000000000000000000
χ914-44-444-4-40000-200002-2-222i3−2i3−2i32i322-2−2i32i32i3−2i3004i−4i00000000000000−2i2i−2i2i0000−2323−23230000000000000000000000000000000000000000
χ924-44-444-4-40000-200002-2-222i3−2i3−2i32i322-2−2i32i32i3−2i300−4i4i000000000000002i−2i2i−2i000023−2323−230000000000000000000000000000000000000000
χ934-4-444-4-444-44-4-244-4-42222-22-22-2-2-2-22-224-400000000-22-22-22-220000000000000000000000000000000000000000000000000000
χ944-4-444-4-444-44-4-2-4-4442222-22-22-2-2-2-22-22-44000000002-22-22-22-20000000000000000000000000000000000000000000000000000
χ954-4-444-4-44-44-44-244-4-422222-22-2-2-2-22-22-2-44000000002-22-2-22-220000000000000000000000000000000000000000000000000000
χ964-4-444-4-44-44-44-2-4-44422222-22-2-2-2-22-22-24-400000000-22-222-22-20000000000000000000000000000000000000000000000000000
χ974-4-4-4-44444-4-4440000-44-444-44-4-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-4-44-200002-22-2-22-222-222-22-200000000000000000023−23−2323000023−23−23230000000000000000000000000000000000000000
χ994-4-4-4-44444-4-44-200002-22-2-22-222-222-22-2000000000000000000−232323−230000−232323−230000000000000000000000000000000000000000
χ1004-4-4-4-4444-444-440000-44-44-44-44-44-44-44-40000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-444-4-200002-22-22-22-22-22-22-2200000000000000000023−23−23230000−232323−230000000000000000000000000000000000000000
χ1024-4-4-4-4444-444-4-200002-22-22-22-22-22-22-22000000000000000000−232323−23000023−23−23230000000000000000000000000000000000000000

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