Finite Group Databasebeta

← Group #10690917

Character table — Group #10690917

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order12222222222234444444444446666666666666661212121212121212121212121212121222224444444444444444446666666612121212121212121212121212121212121212121212121212121212121212121212121212121212888888884444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1
χ61111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111
χ71111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111111111-1-1-1-1-1-111
χ81111111111111-1-1-1-1-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111-1-1-1-1111111-1-1
χ911111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−iii−i−i1-11-1
χ1011111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iii−i−iii-11-11
χ1111111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−iii−i−i-11-11
χ1211111111-1-1-1-111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-111-1-111−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iii−i−iii1-11-1
χ1311111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1ii−i−i−i−iii1-1-11
χ1411111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111iiii−i−i−i−i−i−i−i−iiiii-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii1111-1-1-1-1−i−iiiii−i−i-111-1
χ1511111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1ii−i−i−i−iii-111-1
χ1611111111-1-1-1-11-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111−i−i−i−iiiiiiiii−i−i−i−i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i1111-1-1-1-1−i−iiiii−i−i1-1-11
χ17222222222222222222222-2-2-2-22222222222222222222222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ182222222222222-2-2-2-2-2-2-2-2-2-2-2-2222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222-2-200000000000000002222222200000000000000000000000000000000-2-2-2-2-2-2-2-2000000000000
χ19222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ20222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1000000000000
χ21222222222222-122222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000000000000011111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311111111000000000000
χ22222222222222-122222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2000000000000000011111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311111111000000000000
χ23222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-22222222222-2-2-2-2-2-2-2-211111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000
χ24222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-2-2-222-2-2-2-2-2-2-2-222222222111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-20000000000000000-1-1-1-1-1-1-1-1−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i311111111000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111112222-2-20000000000000000-1-1-1-1-1-1-1-1i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i311111111000000000000
χ2722222222-2-2-2-222222-2-2-2-22222222222-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2-222-2-20000000000000000-2-2-2-2222200000000000000000000000000000000-2-2-2-22222000000000000
χ2822222222-2-2-2-22-2-2-2-222222222222222-2-2-2-2-2-2-2-22-2-2-2-2-2-2-2-22222222222-2-2-2-200000000000000002222-2-2-2-200000000000000000000000000000000-2-2-2-22222000000000000
χ2922222222-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-2-222-2-200000000000000001111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−333331111-1-1-1-1000000000000
χ3022222222-2-2-2-2-12222-2-2-2-22222-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-111111111-2-222-2-200000000000000001111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−31111-1-1-1-1000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111122-2-2222i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11111111122-2-222−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111000000000000
χ3322222222-2-2-2-2-1-2-2-2-222222222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-122-2-2-2-20000000000000000-1-1-1-111113333−3−3−3−3−3−3−3−33333−3−3−3−333333333−3−3−3−31111-1-1-1-1000000000000
χ3422222222-2-2-2-2-1-2-2-2-222222222-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-122-2-2-2-20000000000000000-1-1-1-11111−3−3−3−333333333−3−3−3−33333−3−3−3−3−3−3−3−333331111-1-1-1-1000000000000
χ3522222222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1-2-222222i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i1111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i-1-1-1-11111000000000000
χ3622222222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-1-1-111111111-111111111-1-1-1-1-1-1-1-1-2-22222−2i−2i−2i−2i2i2i2i2i2i2i2i2i−2i−2i−2i−2i1111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiii-1-1-1-11111000000000000
χ3722-2-222-2-20000200002i2i−2i−2i2i2i−2i−2i222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i2-200001+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i22-2-200001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00002i2i−2i−2i000000000000
χ3822-2-222-2-20000200002i2i−2i−2i2i2i−2i−2i222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i2-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i22-2-20000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00002i2i−2i−2i000000000000
χ3922-2-222-2-20000200002i2i−2i−2i−2i−2i2i2i222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i-2200001−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i-2-22200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−2i−2i2i2i000000000000
χ4022-2-222-2-20000200002i2i−2i−2i−2i−2i2i2i222-2-2-200000000-2000000002i2i2i2i−2i−2i−2i−2i-220000−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i-2-2220000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−2i−2i2i2i000000000000
χ4122-2-222-2-2000020000−2i−2i2i2i2i2i−2i−2i222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i-2200001+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-2-22200001+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i00002i2i−2i−2i000000000000
χ4222-2-222-2-2000020000−2i−2i2i2i2i2i−2i−2i222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i-220000−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i-2-2220000−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i00002i2i−2i−2i000000000000
χ4322-2-222-2-2000020000−2i−2i2i2i−2i−2i2i2i222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i2-200001−i1−i−1+i−1+i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1+i1+i−1−i−1−i22-2-200001−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i1+i1+i−1−i−1−i0000−2i−2i2i2i000000000000
χ4422-2-222-2-2000020000−2i−2i2i2i−2i−2i2i2i222-2-2-200000000-200000000−2i−2i−2i−2i2i2i2i2i2-20000−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i22-2-20000−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1−i−1−i1+i1+i0000−2i−2i2i2i000000000000
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χ4622-2-222-2-20000-100002i2i−2i−2i2i2i−2i−2i-1-1-1111−i3−i3i3i3−i3−i3i3i313333−3−3−3−3−i−i−i−iiiii2-20000−1−i−1−i1+i1+i−1+i−1+i1−i1−i−1−i−1−i1+i1+i−1+i−1+i1−i1−i-1-111−i3−i3i3i3ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ20−ζ22ζ20−ζ22−ζ20+ζ22−ζ20+ζ22ζ4−ζ14ζ4−ζ14−ζ4+ζ14−ζ4+ζ14ζ20+ζ22ζ20+ζ22−ζ20−ζ22−ζ20−ζ22ζ4+ζ14ζ4+ζ14−ζ4−ζ14−ζ4−ζ1433−3−3−i−iii000000000000
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χ1042-2-222-2-22-2-222-1000000002-2-22-11111-11111-1-1-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000-22-222-2-222-200000000−i3i3i3−i3i3−i3−i3i31-1-111-1-111-1-111-1-11i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i31-1-11-111-1000000000000
χ1052-2-222-2-22-2-222-100000000-222-2-11111-11111-1-1-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300002-2000000002-2-222-2-22−i3i3i3−i3i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3-111-1-111-1-111-1-111-1-111-11-1-11000000000000
χ1062-2-222-2-22-2-222-100000000-222-2-11111-11111-1-1-1-1-1−i3−i3i3i3i3i3−i3−i3i3i3−i3−i3−i3−i3i3i300002-200000000-222-2-222-2−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i31-1-111-1-111-1-111-1-11-111-11-1-11000000000000
χ1072-2-222-2-22-2-222-100000000-222-2-11111-11111-1-1-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300002-2000000002-2-222-2-22i3−i3−i3i3−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3-111-1-111-1-111-1-111-1-111-11-1-11000000000000
χ1082-2-222-2-22-2-222-100000000-222-2-11111-11111-1-1-1-1-1i3i3−i3−i3−i3−i3i3i3−i3−i3i3i3i3i3−i3−i300002-200000000-222-2-222-2i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i31-1-111-1-111-1-111-1-11-111-11-1-11000000000000
χ1092-2-22-222-22-22-222i−2i2i−2i2i−2i2i−2i0000-22-22-222-22-22-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000000000000000000000000000000000000000000000000002−22−2−i2i2−i2i20000
χ1102-2-22-222-22-22-222i−2i2i−2i2i−2i2i−2i0000-22-22-222-22-22-22-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000−22−22i2−i2i2−i20000
χ1112-2-22-222-22-22-22−2i2i−2i2i−2i2i−2i2i0000-22-22-222-22-22-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000000000000000000000000000000000000000000000000002−22−2i2−i2i2−i20000
χ1122-2-22-222-22-22-22−2i2i−2i2i−2i2i−2i2i0000-22-22-222-22-22-22-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000−22−22−i2i2−i2i20000
χ1132-2-22-222-2-22-2222i−2i2i−2i−2i2i−2i2i0000-22-22-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i2−222−20000
χ1142-2-22-222-2-22-2222i−2i2i−2i−2i2i−2i2i0000-22-22-22-22-22-22-22-22i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i22−2−220000
χ1152-2-22-222-2-22-222−2i2i−2i2i2i−2i2i−2i0000-22-22-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000−i2i2i2−i22−2−220000
χ1162-2-22-222-2-22-222−2i2i−2i2i2i−2i2i−2i0000-22-22-22-22-22-22-22-2−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000i2−i2−i2i2−222−20000
χ1174444-4-4-4-44-4-444000000000000-4-44-4444-44-4-44-44-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1184444-4-4-4-44-4-44-200000000000022-22-2-2-22-222-22-2223−23−2323−232323−2323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1194444-4-4-4-44-4-44-200000000000022-22-2-2-22-222-22-22−232323−2323−23−2323−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1204444-4-4-4-4-444-44000000000000-4-44-444-44-444-44-4-400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1214444-4-4-4-4-444-4-200000000000022-22-2-22-22-2-22-22223−23−2323−232323−23−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1224444-4-4-4-4-444-4-200000000000022-22-2-22-22-2-22-222−232323−2323−23−232323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12344-4-4-4-444000044-4-4400000000-4-444-4-40000000044-4-444-4-44000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12444-4-4-4-44400004-444-400000000-4-444-4-4000000004-444-4-444-4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12544-4-4-4-4440000-24-4-440000000022-2-222−2i32i32i3−2i32i3−2i3−2i32i3-2-222-2-222-2−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12644-4-4-4-4440000-24-4-440000000022-2-2222i3−2i3−2i32i3−2i32i32i3−2i3-2-222-2-222-22i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12744-4-4-4-4440000-2-444-40000000022-2-222−2i32i32i3−2i32i3−2i3−2i32i3-22-2-222-2-222i3−2i3−2i32i32i3−2i3−2i32i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12844-4-4-4-4440000-2-444-40000000022-2-2222i3−2i3−2i32i3−2i32i32i3−2i3-22-2-222-2-22−2i32i32i3−2i3−2i32i32i3−2i30000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-4-44-440000400004-4-440000-44-4-44-4000000004000000004-44-4-44-440000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-4-44-44000040000-444-40000-44-4-44-400000000400000000-44-444-44-40000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-4-44-440000-200004-4-4400002-222-22−2i32i32i3−2i3−2i32i32i3−2i3-2−2i32i3−2i32i32i3−2i32i3−2i3-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-4-44-440000-200004-4-4400002-222-222i3−2i3−2i32i32i3−2i3−2i32i3-22i3−2i32i3−2i3−2i32i3−2i32i3-22-222-22-20000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-44-4-44-440000-20000-444-400002-222-22−2i32i32i3−2i3−2i32i32i3−2i3-22i3−2i32i3−2i3−2i32i3−2i32i32-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-44-4-44-440000-20000-444-400002-222-222i3−2i3−2i32i32i3−2i3−2i32i3-2−2i32i3−2i32i32i3−2i32i3−2i32-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-444-44-44-4-24i−4i4i−4i4i−4i4i−4i00002-22-22-2-22-22-22-222−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-44-444-44-44-4-2−4i4i−4i4i−4i4i−4i4i00002-22-22-2-22-22-22-2222i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-44-444-4-44-44-24i−4i4i−4i−4i4i−4i4i00002-22-22-22-22-22-22-22−2i2i−2i2i−2i2i−2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-44-444-4-44-44-2−4i4i−4i4i4i−4i4i−4i00002-22-22-22-22-22-22-222i−2i2i−2i2i−2i2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.