Finite Group Databasebeta

← Group #10690782

Character table — Group #10690782

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222222222222222222222224444444444444444444444444444444444444444444444444444444444444444444444242424242424242448484848
order1222222222223444444444444666666666666666121212121212121212121212121212124444448888888888888888121212121212121212121212121212122424242424242424242424242424242424242424242424242424242424242424888888882444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii−i−i−i−i11-1-1
χ61111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−i11111111-1-1-1-1-1-1-1-1iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiii-1-111
χ71111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiiiiiii−i−i−i−i-1-111
χ81111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii11111111-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii−i−i−i−iiiii11-1-1
χ911111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iii−i−iii−i−i1-11-1
χ1011111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1iiii−i−i−i−iiiii−i−i−i−i1111-1-1-1-11111-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i−i−iii−i−iii-11-11
χ1111111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiiiii−i−iii−i−i-11-11
χ1211111111-1-1-1-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1−i−i−i−iiiii−i−i−i−iiiii1111-1-1-1-11111-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−iii−i−iii1-11-1
χ1311111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1111-1-11
χ1411111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-111-1
χ1511111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111-1-1-1-111-111-1
χ1611111111-1-1-1-11-1-1-1-1111111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-111111111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-11111-1-11-1-11
χ17222222222222222222222-2-2-2-22222222222222222222222222222222-2-2-2-2-2-20000000000000000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000
χ182222222222222-2-2-2-2-2-2-2-22222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-2-2-2-2-22222222200000000000000000000000000000000000000000000
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
χ20222222222222-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111000000000000
χ21222222222222-122222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3000000000000
χ22222222222222-122222222-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000001111111111111111i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3000000000000
χ23222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2000000000000000011111111-1-1-1-1-1-1-1-13333−3−3−3−33333−3−3−3−3−3−3−3−33333−3−3−3−33333000000000000
χ24222222222222-1-2-2-2-2-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2000000000000000011111111-1-1-1-1-1-1-1-1−3−3−3−33333−3−3−3−333333333−3−3−3−33333−3−3−3−3000000000000
χ25222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-222222i2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i−2i−2i-1-1-1-1-1-1-1-111111111−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−iiiiiiiiiiiiiiiii000000000000
χ26222222222222-1-2-2-2-2-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-2-22222−2i−2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i2i2i-1-1-1-1-1-1-1-111111111iiiiiiiiiiiiiiii−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i−i000000000000
χ2722222222-2-2-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-222222222222-2-2-2-2-2-2-2-2-2-2-2-2220000000000000000-2-2-2-22222-2-2-2-2222200000000000000000000000000000000000000000000
χ2822222222-2-2-2-22-2-2-2-22222-2-2-2-22222-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-22222222222-2-2220000000000000000-2-2-2-222222222-2-2-2-200000000000000000000000000000000000000000000
χ2922222222-2-2-2-2-12222-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22200000000000000001111-1-1-1-11111-1-1-1-13333−3−3−3−3−3−3−3−333333333−3−3−3−3−3−3−3−33333000000000000
χ3022222222-2-2-2-2-12222-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-22200000000000000001111-1-1-1-11111-1-1-1-1−3−3−3−333333333−3−3−3−3−3−3−3−333333333−3−3−3−3000000000000
χ3122222222-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111112222-2-22i2i2i2i−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i-1-1-1-11111-1-1-1-11111−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−iiiiiiiii000000000000
χ3222222222-2-2-2-2-12222-2-2-2-2-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2−2i−2i−2i−2i2i2i2i2i−2i−2i−2i−2i2i2i2i2i-1-1-1-11111-1-1-1-11111iiiiiiii−i−i−i−i−i−i−i−iiiiiiiii−i−i−i−i−i−i−i−i000000000000
χ3322222222-2-2-2-2-1-2-2-2-222222222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-22222-2-2-2-2-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000000000
χ3422222222-2-2-2-2-1-2-2-2-222222222-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-1-2-222-2-2-2-2-2-222222222-2-2-2-2-1-1-1-111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111000000000000
χ3522222222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-122-2-22200000000000000001111-1-1-1-1-1-1-1-11111−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3000000000000
χ3622222222-2-2-2-2-1-2-2-2-22222-2-2-2-2-1-1-1-111111111-1-1-111111111-1-1-1-1-1-1-1-122-2-22200000000000000001111-1-1-1-1-1-1-1-11111i3i3i3i3−i3−i3−i3−i3−i3−i3−i3−i3i3i3i3i3−i3−i3−i3−i3i3i3i3i3i3i3i3i3−i3−i3−i3−i3000000000000
χ3722-22-22-2-20000222-2-200002i2i−2i−2i22-2-2000000002-2-22222-2-2-2-20000000000002i−2i1+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−2i00002i2i−2i−2i1+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+i000000000000
χ3822-22-22-2-20000222-2-200002i2i−2i−2i22-2-2000000002-2-22222-2-2-2-20000000000002i−2i−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−2i00002i2i−2i−2i−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−i000000000000
χ3922-22-22-2-20000222-2-20000−2i−2i2i2i22-2-2000000002-2-22222-2-2-2-2000000000000−2i2i1−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−2i2i2i0000−2i−2i2i2i1−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−i000000000000
χ4022-22-22-2-20000222-2-20000−2i−2i2i2i22-2-2000000002-2-22222-2-2-2-2000000000000−2i2i−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−2i2i2i0000−2i−2i2i2i−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+i000000000000
χ4122-22-22-2-200002-2-22200002i2i−2i−2i22-2-2000000002-2-2-2-2-2-22222000000000000−2i2i1+i1+i−1−i−1−i−1+i−1+i1−i1−i−1−i−1−i1+i1+i1−i1−i−1+i−1+i0000−2i−2i2i2i00002i2i−2i−2i1+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+i1−i1−i−1+i−1+i1−i1−i−1+i−1+i000000000000
χ4222-22-22-2-200002-2-22200002i2i−2i−2i22-2-2000000002-2-2-2-2-2-22222000000000000−2i2i−1−i−1−i1+i1+i1−i1−i−1+i−1+i1+i1+i−1−i−1−i−1+i−1+i1−i1−i0000−2i−2i2i2i00002i2i−2i−2i−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−i−1+i−1+i1−i1−i−1+i−1+i1−i1−i000000000000
χ4322-22-22-2-200002-2-2220000−2i−2i2i2i22-2-2000000002-2-2-2-2-2-222220000000000002i−2i1−i1−i−1+i−1+i−1−i−1−i1+i1+i−1+i−1+i1−i1−i1+i1+i−1−i−1−i00002i2i−2i−2i0000−2i−2i2i2i1−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−i1+i1+i−1−i−1−i1+i1+i−1−i−1−i000000000000
χ4422-22-22-2-200002-2-2220000−2i−2i2i2i22-2-2000000002-2-2-2-2-2-222220000000000002i−2i−1+i−1+i1−i1−i1+i1+i−1−i−1−i1−i1−i−1+i−1+i−1−i−1−i1+i1+i00002i2i−2i−2i0000−2i−2i2i2i−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+i−1−i−1−i1+i1+i−1−i−1−i1+i1+i000000000000
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χ1062-2-222-2-220000-1000022-2-2-222-21111−i3i3−i3i3i3−i3i3−i3-1-1-1−i3i3−i3i3i3−i3i3−i3-1-1-1-1111100-2200−2i2i2i−2i000000002i−2i−2i2i1-1-11i3−i3−i3i3i3−i3−i3i31-1-11i−i−iii−i−ii−333−33−3−333−3−33−333−3−iii−i−iii−i000000000000
χ1072-2-222-2-220000-1000022-2-2-222-21111i3−i3i3−i3−i3i3−i3i3-1-1-1i3−i3i3−i3−i3i3−i3i3-1-1-1-1111100-22002i−2i−2i2i00000000−2i2i2i−2i1-1-11−i3i3i3−i3−i3i3i3−i31-1-11−iii−i−iii−i−333−33−3−333−3−33−333−3i−i−iii−i−ii000000000000
χ1082-2-222-2-220000-1000022-2-2-222-21111i3−i3i3−i3−i3i3−i3i3-1-1-1i3−i3i3−i3−i3i3−i3i3-1-1-1-1111100-2200−2i2i2i−2i000000002i−2i−2i2i1-1-11−i3i3i3−i3−i3i3i3−i31-1-11i−i−iii−i−ii3−3−33−333−3−333−33−3−33−iii−i−iii−i000000000000
χ1092-2-222-2-220000-10000-2-2222-2-221111−i3i3−i3i3i3−i3i3−i3-1-1-1i3−i3i3−i3−i3i3−i3i31111-1-1-1-100-22002-2-22000000002-2-221-1-11i3−i3−i3i3−i3i3i3−i3-111-1-111-1-111-1−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3-111-1-111-1000000000000
χ1102-2-222-2-220000-10000-2-2222-2-221111−i3i3−i3i3i3−i3i3−i3-1-1-1i3−i3i3−i3−i3i3−i3i31111-1-1-1-100-2200-222-200000000-222-21-1-11i3−i3−i3i3−i3i3i3−i3-111-11-1-111-1-11i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i31-1-111-1-11000000000000
χ1112-2-222-2-220000-10000-2-2222-2-221111i3−i3i3−i3−i3i3−i3i3-1-1-1−i3i3−i3i3i3−i3i3−i31111-1-1-1-100-22002-2-22000000002-2-221-1-11−i3i3i3−i3i3−i3−i3i3-111-1-111-1-111-1i3−i3−i3i3−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3-111-1-111-1000000000000
χ1122-2-222-2-220000-10000-2-2222-2-221111i3−i3i3−i3−i3i3−i3i3-1-1-1−i3i3−i3i3i3−i3i3−i31111-1-1-1-100-2200-222-200000000-222-21-1-11−i3i3i3−i3i3−i3−i3i3-111-11-1-111-1-11−i3i3i3−i3i3−i3−i3i3−i3i3i3−i3i3−i3−i3i31-1-111-1-11000000000000
χ1132-2-222-2-220000-10000-2-222-222-21111−i3i3−i3i3i3−i3i3−i3-1-1-1i3−i3i3−i3−i3i3−i3i31111-1-1-1-1002-20000002-2-222-2-220000-111-1−i3i3i3−i3i3−i3−i3i31-1-11−i3i3i3−i3i3−i3−i3i3-111-1-111-1-111-1-111-1−i3i3i3−i3i3−i3−i3i3000000000000
χ1142-2-222-2-220000-10000-2-222-222-21111−i3i3−i3i3i3−i3i3−i3-1-1-1i3−i3i3−i3−i3i3−i3i31111-1-1-1-1002-2000000-222-2-222-20000-111-1−i3i3i3−i3i3−i3−i3i31-1-11i3−i3−i3i3−i3i3i3−i31-1-111-1-111-1-111-1-11i3−i3−i3i3−i3i3i3−i3000000000000
χ1152-2-222-2-220000-10000-2-222-222-21111i3−i3i3−i3−i3i3−i3i3-1-1-1−i3i3−i3i3i3−i3i3−i31111-1-1-1-1002-20000002-2-222-2-220000-111-1i3−i3−i3i3−i3i3i3−i31-1-11i3−i3−i3i3−i3i3i3−i3-111-1-111-1-111-1-111-1i3−i3−i3i3−i3i3i3−i3000000000000
χ1162-2-222-2-220000-10000-2-222-222-21111i3−i3i3−i3−i3i3−i3i3-1-1-1−i3i3−i3i3i3−i3i3−i31111-1-1-1-1002-2000000-222-2-222-20000-111-1i3−i3−i3i3−i3i3i3−i31-1-11−i3i3i3−i3i3−i3−i3i31-1-111-1-111-1-111-1-11−i3i3i3−i3i3−i3−i3i3000000000000
χ117444-4-4-4-44000044i−4i−4i4i000000004-4-4400000000-4-444i4i−4i−4i−4i−4i4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ118444-4-4-4-4400004−4i4i4i−4i000000004-4-4400000000-4-44−4i−4i4i4i4i4i−4i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ119444-4-4-4-440000-24i−4i−4i4i00000000-222-2−2i3−2i32i32i32i32i3−2i3−2i322-2−2i−2i2i2i2i2i−2i−2i23−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ120444-4-4-4-440000-24i−4i−4i4i00000000-222-22i32i3−2i3−2i3−2i3−2i32i32i322-2−2i−2i2i2i2i2i−2i−2i−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ121444-4-4-4-440000-2−4i4i4i−4i00000000-222-2−2i3−2i32i32i32i32i3−2i3−2i322-22i2i−2i−2i−2i−2i2i2i−232323−23−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ122444-4-4-4-440000-2−4i4i4i−4i00000000-222-22i32i3−2i3−2i3−2i3−2i32i32i322-22i2i−2i−2i−2i−2i2i2i23−23−232323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12344-4-44-44-444-4-4-24i−4i4i−4i4i−4i4i−4i0000-22-22-2-222-2-2222-22−2i−2i2i2i−2i−2i2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12444-4-44-44-444-4-4-2−4i4i−4i4i−4i4i−4i4i0000-22-22-2-222-2-2222-222i2i−2i−2i2i2i−2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12544-4-44-44-4-4-444-24i−4i4i−4i−4i4i−4i4i0000-22-2222-2-222-2-22-22−2i−2i2i2i−2i−2i2i2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ12644-4-44-44-4-4-444-2−4i4i−4i4i4i−4i4i−4i0000-22-2222-2-222-2-22-222i2i−2i−2i2i2i−2i−2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1274-44-444-4-40000400004i−4i−4i4i0000-44-4400000000-44-4000000004i−4i4i−4i−4i4i−4i4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1284-44-444-4-4000040000−4i4i4i−4i0000-44-4400000000-44-400000000−4i4i−4i4i4i−4i4i−4i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1294-44-444-4-40000-200004i−4i−4i4i00002-22-2−2i32i32i3−2i32i3−2i3−2i32i32-2223−23−2323−232323−23−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1304-44-444-4-40000-200004i−4i−4i4i00002-22-22i3−2i3−2i32i3−2i32i32i3−2i32-22−232323−2323−23−2323−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1314-44-444-4-40000-20000−4i4i4i−4i00002-22-2−2i32i32i3−2i32i3−2i3−2i32i32-22−232323−2323−23−23232i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1324-44-444-4-40000-20000−4i4i4i−4i00002-22-22i3−2i3−2i32i3−2i32i32i3−2i32-2223−23−2323−232323−232i−2i2i−2i−2i2i−2i2i0000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1334-4-4-4-44444-4-444000000000000-444-44-4-444-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-4-44444-4-44-20000000000002-2-22-222-2-222-222-223−23−232323−23−232323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-4-44444-4-44-20000000000002-2-22-222-2-222-222-2−232323−23−232323−23−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1364-4-4-4-4444-444-44000000000000-444-4-444-4-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1374-4-4-4-4444-444-4-20000000000002-2-222-2-222-2-2222-223−23−232323−23−2323−232323−2323−23−23230000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1384-4-4-4-4444-444-4-20000000000002-2-222-2-222-2-2222-2−232323−23−232323−2323−23−2323−232323−230000000000000000000000000000000000000000000000000000000000000000000000000000000000

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